Name: Disorder in Complex Systems
Start: 2022-06-07T08:00:00+02:00
End: 2022-06-17T21:00:00+02:00
Location: Institut Pascal

Disorder in Complex Systems

from Tuesday, June 7, 2022 (8:00 AM) to Friday, June 17, 2022 (9:00 PM)

Monday, June 6, 2022
Tuesday, June 7, 2022

9:10 AM Introduction
Introduction
9:10 AM - 9:40 AM
10:00 AM Introduction to the statistical physics of phase transitions and critical phenomena - Emmanuel Trizac (Université Paris-Saclay)
Introduction to the statistical physics of phase transitions and critical phenomena
- Emmanuel Trizac (Université Paris-Saclay)
10:00 AM - 11:30 AM
The material covered deals with collective phenomena and the various approaches to treat phase transitions. We will start by discussing the notion of symmetry breakdown, the effect of dimensionality, and how order is inferred, down to the microscopic scale. We will then present how appropriate field theories can be constructed, where symmetry considerations play an important role. Perturbation approaches, exact calculations, and renormalization group will be employed to emphasize the emergence of scale invariance (self-similariry) and universality, which are important hallmarks of critical phenomena. Only basic familiarity with statistical physics will be assumed.
11:30 AM Poster Session - Setup
Poster Session - Setup
11:30 AM - 12:30 PM

12:30 PM Break
Break
12:30 PM - 2:00 PM
2:00 PM An introduction to hydrodynamic turbulence - Pierre-Philippe Cortet (CNRS, Université Paris-Saclay) Benjamin Favier (CNRS, Aix-Marseille University) Basile Gallet (SPEC, CEA)
An introduction to hydrodynamic turbulence
- Pierre-Philippe Cortet (CNRS, Université Paris-Saclay)
- Benjamin Favier (CNRS, Aix-Marseille University)
- Basile Gallet (SPEC, CEA)
2:00 PM - 3:30 PM
Lecture 1 by Benjamin Favier: Basics on hydrodynamic turbulence Lecture 2 by Pierre-Philippe Cortet: Turbulence in rotating fluids Lecture 3 by Basile Gallet: Turbulent convection Hydrodynamic turbulence ispart of our daily lives but remains a fundamental research challenge in fluid mechanics, with applications ranging from turbulent transfer and mixing in industrial flows to improved predictions of extreme weather events in a warming climate. In the first lecture, we will discuss the phenomenology of turbulence in three dimensions, characteristic of most fluid flows surrounding us, before addressing the two-dimensional case as a first model of large-scale geophysical flows. The second and the third lectureswill address turbulence subject to two important physical ingredients of natural flows: global rotation and thermal effects. Global rotation is one of the key ingredients of turbulent flows encountered in oceanic, atmospheric and astrophysical contexts. An important consequence of global rotation is the emergence of a specific class of waves, resulting from the action of the Coriolis force and propagating in the volume of the fluid. These waves and the classical vortex structures of fluid dynamics coexist and interact, which results in a strongly modified turbulence phenomenology. We will introduce this scenario and illustrate it with laboratory observations. Thermal convection refers to flows induced by unstable temperature gradients within a fluid: cool fluid is heavier than warm fluid and spontaneously "falls" under the latter. Turbulent convective flows arise in industrial, geophysical and astrophysical contexts, where the nature of the asymptotic turbulent convection regime remains a delicate and highlydebated topic. Motivated by geophysical and astrophysical flows, we will review the various theoretical predictions and their recent validation in laboratory experiments.
3:30 PM Statistical Physics of Active Matter - Julien Tailleur (Université de Paris)
Statistical Physics of Active Matter
- Julien Tailleur (Université de Paris)
3:30 PM - 4:30 PM
Active matter describes systems in which individual units dissipate energy to exert forces on their environment. Abundant in the biological world, active systems can also be engineered in the lab where they take the form of self-propelling droplets, particles and grains. The disconnection between dissipation and injection of energy at the microscopic scale drives these systems strongly out of thermal equilibrium. This leads to a phenomenology markedly different from that of equilibrium systems, such as the emergence of dense phases of matter in the absence of cohesive forces. In this lecture, I will review recent theoretical developments in the study of active-matter systems, from the discovery of their anomalous mechanical properties to the characterization of their rich many-body physics. In particular, I will show how disorder impacts scalar active matter much more strongly than in passive systems.
4:30 PM Poster Session
Poster Session
4:30 PM - 6:00 PM
Wednesday, June 8, 2022
9:30 AM Introduction to the statistical physics of phase transitions and critical phenomena - Emmanuel Trizac (Université Paris-Saclay)
Introduction to the statistical physics of phase transitions and critical phenomena
- Emmanuel Trizac (Université Paris-Saclay)
9:30 AM - 11:00 AM
The material covered deals with collective phenomena and the various approaches to treat phase transitions. We will start by discussing the notion of symmetry breakdown, the effect of dimensionality, and how order is inferred, down to the microscopic scale. We will then present how appropriate field theories can be constructed, where symmetry considerations play an important role. Perturbation approaches, exact calculations, and renormalization group will be employed to emphasize the emergence of scale invariance (self-similariry) and universality, which are important hallmarks of critical phenomena. Only basic familiarity with statistical physics will be assumed.
11:00 AM Break
Break
11:00 AM - 11:30 AM

11:30 AM Poster Session
Poster Session
11:30 AM - 2:00 PM
2:00 PM Statics and Dynamics of Disordered Elastic Systems - Thierry Giamarchi (University of Geneva) Elisabeth Agoritsas (EPFL)
Statics and Dynamics of Disordered Elastic Systems
- Thierry Giamarchi (University of Geneva)
- Elisabeth Agoritsas (EPFL)
2:00 PM - 3:30 PM
The theoretical framework of disordered elastic systems has been successfully applied, over the last decades, to a wide range of physical systems with very different microphysics and characteristic scales. These range for instance from ferroic domain walls, vortices in superconductors, biophysics interfaces to fracture cracks and earthquakes. Experimentally, this framework provides effective descriptions at a mesoscopic scale, theoretically tractable and experimentally testable. From a fundamental point of view, it encompasses prototypical models of classical statistical physics, where the role of disorder can be systematically investigated, while triggering the development of new theoretical tools to tackle out-of-equilibrium issues.    This lecture will be an introduction to the statics and dynamics of these systems, both from theoretical and experimental perspectives. We will in particular focus on the dynamical critical phenomena they exhibit in response to external forces –such as the depinning transition and the response to small forces (creep)– and on the analogy drawn with other driven complex systems, such as shear amorphous materials and their corresponding ‘yielding’ transition.
3:30 PM Break
Break
3:30 PM - 4:00 PM
4:00 PM Colloquium - J. M. Kosterlitz - J. Michael Kosterlitz
Colloquium - J. M. Kosterlitz
- J. Michael Kosterlitz
4:00 PM - 5:30 PM
Thursday, June 9, 2022
9:30 AM Statics and Dynamics of Disordered Elastic Systems - Elisabeth Agoritsas (EPFL) Thierry Giamarchi (University of Geneva)
Statics and Dynamics of Disordered Elastic Systems
- Elisabeth Agoritsas (EPFL)
- Thierry Giamarchi (University of Geneva)
9:30 AM - 11:00 AM
The theoretical framework of disordered elastic systems has been successfully applied, over the last decades, to a wide range of physical systems with very different microphysics and characteristic scales. These range for instance from ferroic domain walls, vortices in superconductors, biophysics interfaces to fracture cracks and earthquakes. Experimentally, this framework provides effective descriptions at a mesoscopic scale, theoretically tractable and experimentally testable. From a fundamental point of view, it encompasses prototypical models of classical statistical physics, where the role of disorder can be systematically investigated, while triggering the development of new theoretical tools to tackle out-of-equilibrium issues.    This lecture will be an introduction to the statics and dynamics of these systems, both from theoretical and experimental perspectives. We will in particular focus on the dynamical critical phenomena they exhibit in response to external forces –such as the depinning transition and the response to small forces (creep)– and on the analogy drawn with other driven complex systems, such as shear amorphous materials and their corresponding ‘yielding’ transition.
11:00 AM Break
Break
11:00 AM - 11:30 AM
11:30 AM Introduction to the statistical physics of phase transitions and critical phenomena - Emmanuel Trizac (Université Paris-Saclay)
Introduction to the statistical physics of phase transitions and critical phenomena
- Emmanuel Trizac (Université Paris-Saclay)
11:30 AM - 12:30 PM
The material covered deals with collective phenomena and the various approaches to treat phase transitions. We will start by discussing the notion of symmetry breakdown, the effect of dimensionality, and how order is inferred, down to the microscopic scale. We will then present how appropriate field theories can be constructed, where symmetry considerations play an important role. Perturbation approaches, exact calculations, and renormalization group will be employed to emphasize the emergence of scale invariance (self-similariry) and universality, which are important hallmarks of critical phenomena. Only basic familiarity with statistical physics will be assumed.
12:30 PM Break
Break
12:30 PM - 2:00 PM
2:00 PM An introduction to hydrodynamic turbulence - Pierre-Philippe Cortet (CNRS, Université Paris-Saclay) Benjamin Favier (CNRS, Aix-Marseille University) Basile Gallet (SPEC, CEA)
An introduction to hydrodynamic turbulence
- Pierre-Philippe Cortet (CNRS, Université Paris-Saclay)
- Benjamin Favier (CNRS, Aix-Marseille University)
- Basile Gallet (SPEC, CEA)
2:00 PM - 3:30 PM
Lecture 1 by Benjamin Favier: Basics on hydrodynamic turbulence Lecture 2 by Pierre-Philippe Cortet: Turbulence in rotating fluids Lecture 3 by Basile Gallet: Turbulent convection Hydrodynamic turbulence ispart of our daily lives but remains a fundamental research challenge in fluid mechanics, with applications ranging from turbulent transfer and mixing in industrial flows to improved predictions of extreme weather events in a warming climate. In the first lecture, we will discuss the phenomenology of turbulence in three dimensions, characteristic of most fluid flows surrounding us, before addressing the two-dimensional case as a first model of large-scale geophysical flows. The second and the third lectureswill address turbulence subject to two important physical ingredients of natural flows: global rotation and thermal effects. Global rotation is one of the key ingredients of turbulent flows encountered in oceanic, atmospheric and astrophysical contexts. An important consequence of global rotation is the emergence of a specific class of waves, resulting from the action of the Coriolis force and propagating in the volume of the fluid. These waves and the classical vortex structures of fluid dynamics coexist and interact, which results in a strongly modified turbulence phenomenology. We will introduce this scenario and illustrate it with laboratory observations. Thermal convection refers to flows induced by unstable temperature gradients within a fluid: cool fluid is heavier than warm fluid and spontaneously "falls" under the latter. Turbulent convective flows arise in industrial, geophysical and astrophysical contexts, where the nature of the asymptotic turbulent convection regime remains a delicate and highlydebated topic. Motivated by geophysical and astrophysical flows, we will review the various theoretical predictions and their recent validation in laboratory experiments.
3:30 PM From Sandpiles to Disordered Elastic Systems - Kay Wiese (LPENS)
From Sandpiles to Disordered Elastic Systems
- Kay Wiese (LPENS)
3:30 PM - 5:00 PM
Sandpile models are discrete stochastic systems. We show how to map the Manna sandpile onto disordered elastic manifolds. This is surprising as the latter has quenched disorder, while the former does not. In our derivation we also learn how do model discrete stochastic systems via a continuous Langevin equation.
Friday, June 10, 2022
9:30 AM Statics and Dynamics of Disordered Elastic Systems - Thierry Giamarchi (University of Geneva) Elisabeth Agoritsas (EPFL)
Statics and Dynamics of Disordered Elastic Systems
- Thierry Giamarchi (University of Geneva)
- Elisabeth Agoritsas (EPFL)
9:30 AM - 11:00 AM
The theoretical framework of disordered elastic systems has been successfully applied, over the last decades, to a wide range of physical systems with very different microphysics and characteristic scales. These range for instance from ferroic domain walls, vortices in superconductors, biophysics interfaces to fracture cracks and earthquakes. Experimentally, this framework provides effective descriptions at a mesoscopic scale, theoretically tractable and experimentally testable. From a fundamental point of view, it encompasses prototypical models of classical statistical physics, where the role of disorder can be systematically investigated, while triggering the development of new theoretical tools to tackle out-of-equilibrium issues.    This lecture will be an introduction to the statics and dynamics of these systems, both from theoretical and experimental perspectives. We will in particular focus on the dynamical critical phenomena they exhibit in response to external forces –such as the depinning transition and the response to small forces (creep)– and on the analogy drawn with other driven complex systems, such as shear amorphous materials and their corresponding ‘yielding’ transition.
11:00 AM Break
Break
11:00 AM - 11:30 AM
11:30 AM Introduction to the statistical physics of phase transitions and critical phenomena - Emmanuel Trizac (Université Paris-Saclay)
Introduction to the statistical physics of phase transitions and critical phenomena
- Emmanuel Trizac (Université Paris-Saclay)
11:30 AM - 12:30 PM
The material covered deals with collective phenomena and the various approaches to treat phase transitions. We will start by discussing the notion of symmetry breakdown, the effect of dimensionality, and how order is inferred, down to the microscopic scale. We will then present how appropriate field theories can be constructed, where symmetry considerations play an important role. Perturbation approaches, exact calculations, and renormalization group will be employed to emphasize the emergence of scale invariance (self-similariry) and universality, which are important hallmarks of critical phenomena. Only basic familiarity with statistical physics will be assumed.
12:30 PM Break
Break
12:30 PM - 2:00 PM
2:00 PM An introduction to hydrodynamic turbulence - Basile Gallet (SPEC, CEA) Benjamin Favier (CNRS, Aix-Marseille University) Pierre-Philippe Cortet (CNRS, Université Paris-Saclay)
An introduction to hydrodynamic turbulence
- Basile Gallet (SPEC, CEA)
- Benjamin Favier (CNRS, Aix-Marseille University)
- Pierre-Philippe Cortet (CNRS, Université Paris-Saclay)
2:00 PM - 3:30 PM
Lecture 1 by Benjamin Favier: Basics on hydrodynamic turbulence Lecture 2 by Pierre-Philippe Cortet: Turbulence in rotating fluids Lecture 3 by Basile Gallet: Turbulent convection Hydrodynamic turbulence ispart of our daily lives but remains a fundamental research challenge in fluid mechanics, with applications ranging from turbulent transfer and mixing in industrial flows to improved predictions of extreme weather events in a warming climate. In the first lecture, we will discuss the phenomenology of turbulence in three dimensions, characteristic of most fluid flows surrounding us, before addressing the two-dimensional case as a first model of large-scale geophysical flows. The second and the third lectureswill address turbulence subject to two important physical ingredients of natural flows: global rotation and thermal effects. Global rotation is one of the key ingredients of turbulent flows encountered in oceanic, atmospheric and astrophysical contexts. An important consequence of global rotation is the emergence of a specific class of waves, resulting from the action of the Coriolis force and propagating in the volume of the fluid. These waves and the classical vortex structures of fluid dynamics coexist and interact, which results in a strongly modified turbulence phenomenology. We will introduce this scenario and illustrate it with laboratory observations. Thermal convection refers to flows induced by unstable temperature gradients within a fluid: cool fluid is heavier than warm fluid and spontaneously "falls" under the latter. Turbulent convective flows arise in industrial, geophysical and astrophysical contexts, where the nature of the asymptotic turbulent convection regime remains a delicate and highlydebated topic. Motivated by geophysical and astrophysical flows, we will review the various theoretical predictions and their recent validation in laboratory experiments.
3:30 PM Poster Session
Poster Session
3:30 PM - 6:00 PM
Saturday, June 11, 2022
Sunday, June 12, 2022

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