Project acronym ATOP
Project Atomically-engineered nonlinear photonics with two-dimensional layered material superlattices
Researcher (PI) zhipei SUN
Host Institution (HI) AALTO KORKEAKOULUSAATIO SR
Country Finland
Call Details Advanced Grant (AdG), PE8, ERC-2018-ADG
Summary The project aims at introducing a paradigm shift in the development of nonlinear photonics with atomically-engineered two-dimensional (2D) van der Waals superlattices (2DSs). Monolayer 2D materials have large optical nonlinear susceptibilities, a few orders of magnitude larger than typical traditional bulk materials. However, nonlinear frequency conversion efficiency of monolayer 2D materials is typically weak mainly due to their extremely short interaction length (~atomic scale) and relatively large absorption coefficient (e.g.,>5×10^7 m^-1 in the visible range for graphene and MoS2 after thickness normalization). In this context, I will construct atomically-engineered heterojunctions based 2DSs to significantly enhance the nonlinear optical responses of 2D materials by coherently increasing light-matter interaction length and efficiently creating fundamentally new physical properties (e.g., reducing optical loss and increasing nonlinear susceptibilities).
The concrete project objectives are to theoretically calculate, experimentally fabricate and study optical nonlinearities of 2DSs for next-generation nonlinear photonics at the nanoscale. More specifically, I will use 2DSs as new building blocks to develop three of the most disruptive nonlinear photonic devices: (1) on-chip optical parametric generation sources; (2) broadband Terahertz sources; (3) high-purity photon-pair emitters. These devices will lead to a breakthrough technology to enable highly-integrated, high-efficient and wideband lab-on-chip photonic systems with unprecedented performance in system size, power consumption, flexibility and reliability, ideally fitting numerous growing and emerging applications, e.g. metrology, portable sensing/imaging, and quantum-communications. Based on my proven track record and my pioneering work on 2D materials based photonics and optoelectronics, I believe I will accomplish this ambitious frontier research program with a strong interdisciplinary nature.
Summary
The project aims at introducing a paradigm shift in the development of nonlinear photonics with atomically-engineered two-dimensional (2D) van der Waals superlattices (2DSs). Monolayer 2D materials have large optical nonlinear susceptibilities, a few orders of magnitude larger than typical traditional bulk materials. However, nonlinear frequency conversion efficiency of monolayer 2D materials is typically weak mainly due to their extremely short interaction length (~atomic scale) and relatively large absorption coefficient (e.g.,>5×10^7 m^-1 in the visible range for graphene and MoS2 after thickness normalization). In this context, I will construct atomically-engineered heterojunctions based 2DSs to significantly enhance the nonlinear optical responses of 2D materials by coherently increasing light-matter interaction length and efficiently creating fundamentally new physical properties (e.g., reducing optical loss and increasing nonlinear susceptibilities).
The concrete project objectives are to theoretically calculate, experimentally fabricate and study optical nonlinearities of 2DSs for next-generation nonlinear photonics at the nanoscale. More specifically, I will use 2DSs as new building blocks to develop three of the most disruptive nonlinear photonic devices: (1) on-chip optical parametric generation sources; (2) broadband Terahertz sources; (3) high-purity photon-pair emitters. These devices will lead to a breakthrough technology to enable highly-integrated, high-efficient and wideband lab-on-chip photonic systems with unprecedented performance in system size, power consumption, flexibility and reliability, ideally fitting numerous growing and emerging applications, e.g. metrology, portable sensing/imaging, and quantum-communications. Based on my proven track record and my pioneering work on 2D materials based photonics and optoelectronics, I believe I will accomplish this ambitious frontier research program with a strong interdisciplinary nature.
Max ERC Funding
2 442 448 €
Duration
Start date: 2019-09-01, End date: 2024-08-31
Project acronym CLaQS
Project Correlations in Large Quantum Systems
Researcher (PI) Benjamin Schlein
Host Institution (HI) UNIVERSITAT ZURICH
Country Switzerland
Call Details Advanced Grant (AdG), PE1, ERC-2018-ADG
Summary This project is devoted to the mathematical analysis of important physical properties of many-body quantum systems. We will be interested in properties of the ground state and low-energy excitations but also of non-equilibrium dynamics. We are going to consider systems with different statistics and in different regimes. The questions we are going to address have a common aspect: correlations among particles play a crucial role. Our main goal consists in developing new tools that allow us to correctly describe many-body correlations and to understand their effects. The starting point of our proposal are ideas and techniques that have been introduced in a series of papers establishing the validity of Bogoliubov theory for Bose gases in the Gross-Pitaevskii regime, and in a recent preprint showing how (bosonic) Bogoliubov theory can also be used to study the correlation energy of Fermi gases. In this project, we plan to develop these techniques further and to apply them to new contexts. We believe they have the potential to approach some fundamental open problem in mathematical physics. Among our most ambitious objectives, we include the proof of the Lee-Huang-Yang formula for the energy of dilute Bose gases and of the corresponding Huang-Yang formula for dilute Fermi gases, as well as the derivation of the Gell-Mann--Brueckner expression for the correlation energy of a high density Fermi system. Furthermore, we propose to work on long-term projects (going beyond the duration of the grant) aiming at a rigorous justification of the quantum Boltzmann equation for fermions in the weak coupling limit and at a proof of Bose-Einstein condensation in the thermodynamic limit, two very challenging and important questions in the field.
Summary
This project is devoted to the mathematical analysis of important physical properties of many-body quantum systems. We will be interested in properties of the ground state and low-energy excitations but also of non-equilibrium dynamics. We are going to consider systems with different statistics and in different regimes. The questions we are going to address have a common aspect: correlations among particles play a crucial role. Our main goal consists in developing new tools that allow us to correctly describe many-body correlations and to understand their effects. The starting point of our proposal are ideas and techniques that have been introduced in a series of papers establishing the validity of Bogoliubov theory for Bose gases in the Gross-Pitaevskii regime, and in a recent preprint showing how (bosonic) Bogoliubov theory can also be used to study the correlation energy of Fermi gases. In this project, we plan to develop these techniques further and to apply them to new contexts. We believe they have the potential to approach some fundamental open problem in mathematical physics. Among our most ambitious objectives, we include the proof of the Lee-Huang-Yang formula for the energy of dilute Bose gases and of the corresponding Huang-Yang formula for dilute Fermi gases, as well as the derivation of the Gell-Mann--Brueckner expression for the correlation energy of a high density Fermi system. Furthermore, we propose to work on long-term projects (going beyond the duration of the grant) aiming at a rigorous justification of the quantum Boltzmann equation for fermions in the weak coupling limit and at a proof of Bose-Einstein condensation in the thermodynamic limit, two very challenging and important questions in the field.
Max ERC Funding
1 876 050 €
Duration
Start date: 2019-09-01, End date: 2024-08-31
Project acronym CoCi
Project Co-Evolving City Life
Researcher (PI) Dirk HELBING
Host Institution (HI) EIDGENOESSISCHE TECHNISCHE HOCHSCHULE ZUERICH
Country Switzerland
Call Details Advanced Grant (AdG), SH2, ERC-2018-ADG
Summary How could networks of innovative cities contribute to the solution of humanity’s existential problems? Given the on-going digital revolution and our present-day sustainability challenges, we have to reinvent the way cities are operated. We propose that the requirement of organizing cities in a more resilient way implies the need for more decentralized solutions, based on digitally assisted self-organization, and that this concept is also compatible with sustainability requirements and stronger democratic participation. The CoCi proposal will investigate, whether such a decentralized, participatory approach could compete with a fully centralized approach in terms of efficiency and sustainability, or perform even better than that. This requires in particular to figure out, how distributed co-creation processes can be coordinated and lifted to a professional level in a scalable way. The main questions of the CoCi proposal are: How could more participatory smart cities work, and how can they meet the requirements of being more efficient, sustainable and resilient? What are their risks and benefits compared with centralized approaches? How could digital societies fitting our culture, for example, based on values such as freedom, equality and solidarity (liberté, égalité, fraternité) look like, and what performance can be expected from them? The CoCi proposal brings together two research directions: first, the automation of mobility solutions based on the Internet of Things and Machine Learning approaches, as they have been pursued within the “smart cities” paradigm and, second, novel collaborative approaches as they have been recently discussed under labels such as participatory resilience, digital democracy, City Olympics, open source urbanism, and the “socio-ecological finance system”.
Summary
How could networks of innovative cities contribute to the solution of humanity’s existential problems? Given the on-going digital revolution and our present-day sustainability challenges, we have to reinvent the way cities are operated. We propose that the requirement of organizing cities in a more resilient way implies the need for more decentralized solutions, based on digitally assisted self-organization, and that this concept is also compatible with sustainability requirements and stronger democratic participation. The CoCi proposal will investigate, whether such a decentralized, participatory approach could compete with a fully centralized approach in terms of efficiency and sustainability, or perform even better than that. This requires in particular to figure out, how distributed co-creation processes can be coordinated and lifted to a professional level in a scalable way. The main questions of the CoCi proposal are: How could more participatory smart cities work, and how can they meet the requirements of being more efficient, sustainable and resilient? What are their risks and benefits compared with centralized approaches? How could digital societies fitting our culture, for example, based on values such as freedom, equality and solidarity (liberté, égalité, fraternité) look like, and what performance can be expected from them? The CoCi proposal brings together two research directions: first, the automation of mobility solutions based on the Internet of Things and Machine Learning approaches, as they have been pursued within the “smart cities” paradigm and, second, novel collaborative approaches as they have been recently discussed under labels such as participatory resilience, digital democracy, City Olympics, open source urbanism, and the “socio-ecological finance system”.
Max ERC Funding
2 499 500 €
Duration
Start date: 2020-10-01, End date: 2025-09-30
Project acronym DIVLAW
Project How God Became a Lawgiver: The Place of the Torah in Ancient Near Eastern Legal History
Researcher (PI) Konrad Schmid
Host Institution (HI) UNIVERSITAT ZURICH
Country Switzerland
Call Details Advanced Grant (AdG), SH6, ERC-2018-ADG
Summary The Torah’s notion of divine law fundamentally transforms the nature of law found in its ancient Near Eastern context. Typically kings—not gods—took on the role of the promulgation of laws. The Torah’s conception of God as lawgiver emerged gradually through historical processes, rather than constituting the bedrock of the Bible’s literary and legal history. And, while scholars have long recognized the uniqueness of the Torah’s conception, its early historical development has received little attention. Only tangential analysis exists on the forces surrounding the genesis of the Torah’s notion of divine laws within ancient Near Eastern legal history or its impact on religion and politics in the early historical contexts of ancient Israel and Judah.
This project therefore aims: 1) to explicate the anchoring of law in the religious ether of the Ancient Near East; 2) to elucidate for the first time the intellectual processes in ancient Israel and Judah that led to the notion of divine laws and God as lawgiver, drawing comparisons with other legal understandings and practices from the ancient Near East; 3) to assess the socio-political and religious impact of this notion with ancient Judaism through the Hellenistic Period; and 4) to contextualize this development in the ancient world in comparison to parallel developments in Greek polities.
The project’s innovative potential lies in: 1) the evaluation of the divine laws as a historical phenomenon; 2) the neglected effort to understand their intellectual genesis and early development in a reciprocal relation to their socio-political context; 3) the cross-cultural analysis of ancient Israel and Judah and its neighbouring cultures in this regard; and 4) the application of a longue durée and realgeschichtliche perspective to largely literary and philological disciplines. These investigations offer a new paradigm for elucidating the webs connecting divinity, law, and socio-political developments in the first millennium BCE.
Summary
The Torah’s notion of divine law fundamentally transforms the nature of law found in its ancient Near Eastern context. Typically kings—not gods—took on the role of the promulgation of laws. The Torah’s conception of God as lawgiver emerged gradually through historical processes, rather than constituting the bedrock of the Bible’s literary and legal history. And, while scholars have long recognized the uniqueness of the Torah’s conception, its early historical development has received little attention. Only tangential analysis exists on the forces surrounding the genesis of the Torah’s notion of divine laws within ancient Near Eastern legal history or its impact on religion and politics in the early historical contexts of ancient Israel and Judah.
This project therefore aims: 1) to explicate the anchoring of law in the religious ether of the Ancient Near East; 2) to elucidate for the first time the intellectual processes in ancient Israel and Judah that led to the notion of divine laws and God as lawgiver, drawing comparisons with other legal understandings and practices from the ancient Near East; 3) to assess the socio-political and religious impact of this notion with ancient Judaism through the Hellenistic Period; and 4) to contextualize this development in the ancient world in comparison to parallel developments in Greek polities.
The project’s innovative potential lies in: 1) the evaluation of the divine laws as a historical phenomenon; 2) the neglected effort to understand their intellectual genesis and early development in a reciprocal relation to their socio-political context; 3) the cross-cultural analysis of ancient Israel and Judah and its neighbouring cultures in this regard; and 4) the application of a longue durée and realgeschichtliche perspective to largely literary and philological disciplines. These investigations offer a new paradigm for elucidating the webs connecting divinity, law, and socio-political developments in the first millennium BCE.
Max ERC Funding
2 500 000 €
Duration
Start date: 2020-01-01, End date: 2024-12-31
Project acronym ExCOM-cCEO
Project Extremely Coherent Mechanical Oscillators and circuit Cavity Electro-Optics
Researcher (PI) Tobias Kippenberg
Host Institution (HI) ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE
Country Switzerland
Call Details Advanced Grant (AdG), PE3, ERC-2018-ADG
Summary The quest for mechanical oscillators with ultralow dissipation is motivated by classical and quantum sensing and technology, and precision measurements. For decades, the most coherent mechanical oscillators were acoustic vibrations in kg-scale crystalline bars. Recently a paradigm shift has occurred. The combination of elastic strain engineering – a technique used in microelectronics – with phononic mode engineering has resulted in 1D nano-strings with a mechanical quality factor Q of 0.8 billion – the highest ever achieved at room temperature. Remarkably, these new techniques have major untapped potential, as they have only been applied to non-crystalline materials in 1D. We propose a new generation of strain-engineered crystalline and superconducting mechanical oscillators whose Q-factors are predicted to exceed 100 billion in up to 2 dimensions. We will seek to reach this theoretical limit, probe new dissipation mechanisms, and utilize these oscillators for quantum optomechanics in new regimes and achieve room temperature ground state cooling and ponderomotive squeezing. Likewise, we will apply these techniques to create highly coherent superconducting electromechanical devices at milli-Kelvin temperatures, enabling quantum-enhanced force sensing and 1 second decoherence times. Secondly, we will explore a fundamentally new method for measurement and manipulation of microwave fields with optical fields – the nascent field of circuit Cavity-Electro-Optics (cCEO). First recognized over a decade ago, it is possible with optical fields to cool, amplify or interferometrically read out microwaves. Yet to date this regime has remained in accessible due to insufficient coupling strength between the microwave and optical fields. We will overcome this challenge based on a new circuit architecture, allowing laser cooling and laser amplification of microwaves and electro-optical masing using optical backaction, and thereby opening an entirely new way to manipulate microwaves.
Summary
The quest for mechanical oscillators with ultralow dissipation is motivated by classical and quantum sensing and technology, and precision measurements. For decades, the most coherent mechanical oscillators were acoustic vibrations in kg-scale crystalline bars. Recently a paradigm shift has occurred. The combination of elastic strain engineering – a technique used in microelectronics – with phononic mode engineering has resulted in 1D nano-strings with a mechanical quality factor Q of 0.8 billion – the highest ever achieved at room temperature. Remarkably, these new techniques have major untapped potential, as they have only been applied to non-crystalline materials in 1D. We propose a new generation of strain-engineered crystalline and superconducting mechanical oscillators whose Q-factors are predicted to exceed 100 billion in up to 2 dimensions. We will seek to reach this theoretical limit, probe new dissipation mechanisms, and utilize these oscillators for quantum optomechanics in new regimes and achieve room temperature ground state cooling and ponderomotive squeezing. Likewise, we will apply these techniques to create highly coherent superconducting electromechanical devices at milli-Kelvin temperatures, enabling quantum-enhanced force sensing and 1 second decoherence times. Secondly, we will explore a fundamentally new method for measurement and manipulation of microwave fields with optical fields – the nascent field of circuit Cavity-Electro-Optics (cCEO). First recognized over a decade ago, it is possible with optical fields to cool, amplify or interferometrically read out microwaves. Yet to date this regime has remained in accessible due to insufficient coupling strength between the microwave and optical fields. We will overcome this challenge based on a new circuit architecture, allowing laser cooling and laser amplification of microwaves and electro-optical masing using optical backaction, and thereby opening an entirely new way to manipulate microwaves.
Max ERC Funding
2 496 000 €
Duration
Start date: 2019-10-01, End date: 2024-09-30
Project acronym FLAY
Project Flavor Anomalies and the origin of the Yukawa couplings
Researcher (PI) Gino ISIDORI
Host Institution (HI) UNIVERSITAT ZURICH
Country Switzerland
Call Details Advanced Grant (AdG), PE2, ERC-2018-ADG
Summary Recent experimental results in flavor physics exhibit deviations from the Standard Model predictions that are growing with time, both as far as statistical significance and as far as internal consistency. Understanding the origin of this phenomenon, the so-called “flavor anomalies”, is of paramount importance for a deeper understanding of fundamental interactions. As recently shown by the PI and collaborators, this phenomenon is likely to be intimately related to the long-standing “flavor problem”, or the origin of the hierarchical pattern of quark and lepton mass matrices observed in Nature. The goal of this project is to shed light on both these issues, providing a solution to old and recent puzzles in flavor physics. We propose to address these questions via an original bottom-up approach, based on Effective Field Theory methods and simplified models, combined with new top-down ideas about the ultraviolet completion of the Standard Model. On the phenomenological side, the proposed bottom-up approach will allow us to exploit with the highest accuracy all the available and expected experimental data. It will allow us to take into account both low- and high-energy observables, as well as both quark and lepton sectors. These results will constitute the basis for the theoretical investigation of a new class of Standard Model extensions not considered so far. The latter are based on new ideas, such as flavor non-universal gauge interactions, that imply a change of paradigm in theoretical high-energy physics: the origin of the flavor hierarchies plays a central role in revealing the ultraviolet completion of the Standard Model. Combining a bottom-up approach to flavor-physics data with top-down ideas on the origin of the flavor hierarchies, this project has the potential to lead to a major advancement in fundamental physics.
Summary
Recent experimental results in flavor physics exhibit deviations from the Standard Model predictions that are growing with time, both as far as statistical significance and as far as internal consistency. Understanding the origin of this phenomenon, the so-called “flavor anomalies”, is of paramount importance for a deeper understanding of fundamental interactions. As recently shown by the PI and collaborators, this phenomenon is likely to be intimately related to the long-standing “flavor problem”, or the origin of the hierarchical pattern of quark and lepton mass matrices observed in Nature. The goal of this project is to shed light on both these issues, providing a solution to old and recent puzzles in flavor physics. We propose to address these questions via an original bottom-up approach, based on Effective Field Theory methods and simplified models, combined with new top-down ideas about the ultraviolet completion of the Standard Model. On the phenomenological side, the proposed bottom-up approach will allow us to exploit with the highest accuracy all the available and expected experimental data. It will allow us to take into account both low- and high-energy observables, as well as both quark and lepton sectors. These results will constitute the basis for the theoretical investigation of a new class of Standard Model extensions not considered so far. The latter are based on new ideas, such as flavor non-universal gauge interactions, that imply a change of paradigm in theoretical high-energy physics: the origin of the flavor hierarchies plays a central role in revealing the ultraviolet completion of the Standard Model. Combining a bottom-up approach to flavor-physics data with top-down ideas on the origin of the flavor hierarchies, this project has the potential to lead to a major advancement in fundamental physics.
Max ERC Funding
2 318 750 €
Duration
Start date: 2019-09-01, End date: 2024-08-31
Project acronym OLECAT
Project Development of Stereoselective Olefin Functionalization Methods
Researcher (PI) Erick CARREIRA
Host Institution (HI) EIDGENOESSISCHE TECHNISCHE HOCHSCHULE ZUERICH
Country Switzerland
Call Details Advanced Grant (AdG), PE5, ERC-2018-ADG
Summary The ability toThe ability to readily access small-molecule building blocks at will has important consequences for the discovery and development of novel medicines and materials. It is particularly beneficial when the chemical methods are convenient while at the same time economically and environmentally tenable and sustainable. We are especially interested in catalytic processes that are easily executed and utilize readily available starting materials to produce optically active products with high regio, chemo, diastereo, and enantioselectivity.
The proposal aims to discover, develop, and study a collection of enantioselective olefin functionalization reactions that provide access to useful building blocks, such as amines, azides, hydrazines, nitriles, alcohols, involving acyclic, cyclic and bicyclic structures. The catalyst will be derived from earth abundant metals, such as Fe, Mn, and Co and incorporate novel chiral ligands. The study includes the design and preparation of two structural classes of novel, chiral boric acids that are expected to serve as catalyst for the enantioselective functionalization of unsaturated carboxylic acids and boronic acids.
The methods are expected to substantially impact the development of novel strategies for complex molecule synthesis. In this regard, we propose to use the catalysts form this study to convert dienes and trienes into polyols with characteristic stereochemical and oxidation patterns found in bioactive agents, including pharma- and nutraceuticals (carnitine). Such advances enable new approaches that go beyond the well-established methods such as aldol/allylation for the preparation of stereochemically complex fragments. Catalysts will also be developed that convert acyclic olefinic alcohols and amines into optically active, saturated furans, pyrans, pyrrolidines, and piperidines. The implementation of the various catalytic methods in complex settings enables efficient, convergent routes to bioactive agents.
Summary
The ability toThe ability to readily access small-molecule building blocks at will has important consequences for the discovery and development of novel medicines and materials. It is particularly beneficial when the chemical methods are convenient while at the same time economically and environmentally tenable and sustainable. We are especially interested in catalytic processes that are easily executed and utilize readily available starting materials to produce optically active products with high regio, chemo, diastereo, and enantioselectivity.
The proposal aims to discover, develop, and study a collection of enantioselective olefin functionalization reactions that provide access to useful building blocks, such as amines, azides, hydrazines, nitriles, alcohols, involving acyclic, cyclic and bicyclic structures. The catalyst will be derived from earth abundant metals, such as Fe, Mn, and Co and incorporate novel chiral ligands. The study includes the design and preparation of two structural classes of novel, chiral boric acids that are expected to serve as catalyst for the enantioselective functionalization of unsaturated carboxylic acids and boronic acids.
The methods are expected to substantially impact the development of novel strategies for complex molecule synthesis. In this regard, we propose to use the catalysts form this study to convert dienes and trienes into polyols with characteristic stereochemical and oxidation patterns found in bioactive agents, including pharma- and nutraceuticals (carnitine). Such advances enable new approaches that go beyond the well-established methods such as aldol/allylation for the preparation of stereochemically complex fragments. Catalysts will also be developed that convert acyclic olefinic alcohols and amines into optically active, saturated furans, pyrans, pyrrolidines, and piperidines. The implementation of the various catalytic methods in complex settings enables efficient, convergent routes to bioactive agents.
Max ERC Funding
2 498 635 €
Duration
Start date: 2019-09-01, End date: 2024-08-31
Project acronym PonD
Project Particles-on-Demand for Multiscale Fluid Dynamics
Researcher (PI) Ilya KARLIN
Host Institution (HI) EIDGENOESSISCHE TECHNISCHE HOCHSCHULE ZUERICH
Country Switzerland
Call Details Advanced Grant (AdG), PE8, ERC-2018-ADG
Summary Computational fluid dynamics achieved undeniable success in many sectors of flowing matter. However, with the variety of different physical phenomena involved, also the computational methods have specialized and a uniform platform for high-quality simulations has long been in pursuit. With its roots in kinetic theory and statistical mechanics, the lattice Boltzmann method was conceived as an alternative paradigm for fluid dynamics but only partially succeeded in a subclass of incompressible flows. The reasons for that are structural: fixed particles’ velocities in traditional approaches imply rigid constraints on Mach number and temperature in the simulations, and which can only be mitigated at a price of ever increased number of particles’ speeds. A novel formulation of fluid dynamics as a kinetic theory with a small number of tailored, on-demand constructed particles removes any restrictions on flow speed and temperature as compared the lattice Boltzmann methods and their modifications. Particles-on-Demand method is a disruptive change of perspective on computational fluid dynamics through kinetic theory that opens up an unprecedented wide domain of applications, and for the first time delivers a seamless and universal computing of any type of flow, from high Knudsen number rarefied gas to supersonic flow and turbulence. Our approach is inherently physical and rigorous, with kinetic theory translated onto a fully discrete framework in position, momentum, time and space system. Particle-on-Demand shall deliver new solutions to hypersonic flows involving fluid-structure interaction and makes it easy to incorporate mixing and chemical reactions. The strength and universality of PonD method shall be demonstrated with simulations of a wide spectrum of multiscale problems such as atmospheric reentry, geostrophic turbulence, micro-flows and multiphase flow.
Summary
Computational fluid dynamics achieved undeniable success in many sectors of flowing matter. However, with the variety of different physical phenomena involved, also the computational methods have specialized and a uniform platform for high-quality simulations has long been in pursuit. With its roots in kinetic theory and statistical mechanics, the lattice Boltzmann method was conceived as an alternative paradigm for fluid dynamics but only partially succeeded in a subclass of incompressible flows. The reasons for that are structural: fixed particles’ velocities in traditional approaches imply rigid constraints on Mach number and temperature in the simulations, and which can only be mitigated at a price of ever increased number of particles’ speeds. A novel formulation of fluid dynamics as a kinetic theory with a small number of tailored, on-demand constructed particles removes any restrictions on flow speed and temperature as compared the lattice Boltzmann methods and their modifications. Particles-on-Demand method is a disruptive change of perspective on computational fluid dynamics through kinetic theory that opens up an unprecedented wide domain of applications, and for the first time delivers a seamless and universal computing of any type of flow, from high Knudsen number rarefied gas to supersonic flow and turbulence. Our approach is inherently physical and rigorous, with kinetic theory translated onto a fully discrete framework in position, momentum, time and space system. Particle-on-Demand shall deliver new solutions to hypersonic flows involving fluid-structure interaction and makes it easy to incorporate mixing and chemical reactions. The strength and universality of PonD method shall be demonstrated with simulations of a wide spectrum of multiscale problems such as atmospheric reentry, geostrophic turbulence, micro-flows and multiphase flow.
Max ERC Funding
2 448 750 €
Duration
Start date: 2019-09-01, End date: 2024-08-31
Project acronym PrISMoID
Project Photonic Structural Materials with Controlled Disorder
Researcher (PI) Ullrich STEINER
Host Institution (HI) UNIVERSITE DE FRIBOURG
Country Switzerland
Call Details Advanced Grant (AdG), PE3, ERC-2018-ADG
Summary "Structural colour reflected by photonic materials is typically attributed to highly ordered nanostructures with periodicities on the 100-nm length scale. When investigating structural colour in animals and plants, it is however becoming increasingly evident that brilliant photonic colour can also arise from seemingly disordered morphologies. This is surprising as uncontrolled disorder in photonic materials usually severely degrades their colour response. While some recent theories exist, the emergence of structural colour from disordered morphologies is fundamentally not understood. It is clear however that these disordered morphologies must possess ""hidden correlations"", which enable the formation of a photonic band gap.
This project will uncover the design rules that underlie disordered photonic morphologies, thereby contributing to the fundamental understanding of photonic materials. The project has a strong nature-inspired component, but will go beyond the examination of natural photonic materials. WP1 and WP2 will examine 3D and 2D disordered photonic morphologies in animals and plants, respectively. The structural analysis of these materials will uncover hidden correlations in seemingly random morphologies. WP2 and WP3 will manufacture materials that implement these correlations to recreate the optical signatures of the biological model organisms. This will test the statistical analysis of WP1 and WP2 and shed light on the \textit{in vivo} synthesis of the disordered photonic morphologies. WP4 ties WP1-WP3 together by performing optical experiments and computer simulations. By analysing both the far- and near-field results of the simulations and comparing them with the structural correlations and optical experiments, the four WPs will not only provide a fundamental understanding of the interplay of structural correlations with optical interference in disordered materials, it will also establish design rules allowing their facile manufacture."
Summary
"Structural colour reflected by photonic materials is typically attributed to highly ordered nanostructures with periodicities on the 100-nm length scale. When investigating structural colour in animals and plants, it is however becoming increasingly evident that brilliant photonic colour can also arise from seemingly disordered morphologies. This is surprising as uncontrolled disorder in photonic materials usually severely degrades their colour response. While some recent theories exist, the emergence of structural colour from disordered morphologies is fundamentally not understood. It is clear however that these disordered morphologies must possess ""hidden correlations"", which enable the formation of a photonic band gap.
This project will uncover the design rules that underlie disordered photonic morphologies, thereby contributing to the fundamental understanding of photonic materials. The project has a strong nature-inspired component, but will go beyond the examination of natural photonic materials. WP1 and WP2 will examine 3D and 2D disordered photonic morphologies in animals and plants, respectively. The structural analysis of these materials will uncover hidden correlations in seemingly random morphologies. WP2 and WP3 will manufacture materials that implement these correlations to recreate the optical signatures of the biological model organisms. This will test the statistical analysis of WP1 and WP2 and shed light on the \textit{in vivo} synthesis of the disordered photonic morphologies. WP4 ties WP1-WP3 together by performing optical experiments and computer simulations. By analysing both the far- and near-field results of the simulations and comparing them with the structural correlations and optical experiments, the four WPs will not only provide a fundamental understanding of the interplay of structural correlations with optical interference in disordered materials, it will also establish design rules allowing their facile manufacture."
Max ERC Funding
2 499 990 €
Duration
Start date: 2019-09-01, End date: 2024-08-31
Project acronym QUAMAP
Project Quasiconformal Methods in Analysis and Applications
Researcher (PI) Kari ASTALA
Host Institution (HI) AALTO KORKEAKOULUSAATIO SR
Country Finland
Call Details Advanced Grant (AdG), PE1, ERC-2018-ADG
Summary The use of delicate quasiconformal methods, in conjunction with convex integration and/or nonlinear Fourier analysis, will be the common theme of the proposal. A number of important outstanding problems are susceptible to attack via these methods. First and foremost, Morrey's fundamental question in two dimensional vectorial calculus of variations will be considered as well as the related conjecture of Iwaniec regarding the sharp $L^p$ bounds for the Beurling transform. Understanding the geometry of conformally invariant random structures will be one of the central goals of the proposal. Uhlmann's conjecture regarding the optimal regularity for uniqueness in Calder\'on's inverse conductivity problem will also be considered, as well as the applications to imaging. Further goals are to be found in fluid mechanics and scattering, as well as the fundamental properties of quasiconformal mappings, interesting in their own right, such as the outstanding deformation problem for chord-arc curves.
Summary
The use of delicate quasiconformal methods, in conjunction with convex integration and/or nonlinear Fourier analysis, will be the common theme of the proposal. A number of important outstanding problems are susceptible to attack via these methods. First and foremost, Morrey's fundamental question in two dimensional vectorial calculus of variations will be considered as well as the related conjecture of Iwaniec regarding the sharp $L^p$ bounds for the Beurling transform. Understanding the geometry of conformally invariant random structures will be one of the central goals of the proposal. Uhlmann's conjecture regarding the optimal regularity for uniqueness in Calder\'on's inverse conductivity problem will also be considered, as well as the applications to imaging. Further goals are to be found in fluid mechanics and scattering, as well as the fundamental properties of quasiconformal mappings, interesting in their own right, such as the outstanding deformation problem for chord-arc curves.
Max ERC Funding
2 280 350 €
Duration
Start date: 2019-09-01, End date: 2024-08-31