Home / Magistrale 2 / LM 2 Fisica, concetti e applicazioni / Corsi / To Ex M2 P / Période 4a - PHE
Période 4a - PHE
Période 4a - PHE

Période 4a - PHE (6)

Venerdì 28 Ottobre 2016 14:34

Active Matter

Written by Administrator

Active Matter

Informations pratiques


Discipline :

Physique

Niveau :

Master 2

Semestre :

S4a

Crédits ECTS :

3

Volume Horaire :

18h Cours

Responsable :

Questo indirizzo e-mail è protetto dallo spam bot. Abilita Javascript per vederlo.

 

Intervenants :

 

Questo indirizzo e-mail è protetto dallo spam bot. Abilita Javascript per vederlo.

 

Objectif

Active matter encompasses a broad range of systems ranging from animal groups to shaken grains, to motile colloids to cell tissues and bacteria suspensions. We will introduce some generic concepts and tools borrowed from soft condensed matter and statistical physics to account for the large-scale properties of these systems driven out of thermal equilibrium at the level of the elementary units.

 

The course will both cover well established results and on going developments in the field. The outline will be adjusted accordingly.

 

 

Plan du cours

1-Self propelled bodies and persistent random walkers: statistics of active-particle trajectories.

2-Interacting active particles: active forces, torques and fields.

3-Continuum description of active matter: conserved and broken symmetry fields.

4-A selection of more advanced topics will be discussed during the last three/four lectures such as Kinetic theories of active matter, Fluctuation and instabilities of broken-symmetry phases (active nematics and flocks), Motility Induced Phase Separation & active-matter thermodynamics, Active stresses, Active tesselations, 1D systems & traffic models,…)

 

Langue d'enseignement

 

English or French  (upon request)

 

Giovedì 22 Ottobre 2015 09:55

Advanced mechanics

Written by Administrator

Advanced Mechanics

Informations pratiques


Discipline :

Physique

Niveau :

Master 2

Semestre :

S4a

Crédits ECTS :

3

Volume Horaire :

18h Cours

Responsable :

Questo indirizzo e-mail è protetto dallo spam bot. Abilita Javascript per vederlo.

Questo indirizzo e-mail è protetto dallo spam bot. Abilita Javascript per vederlo.

CNRS, ESCPI Paris

Intervenants :

 

Questo indirizzo e-mail è protetto dallo spam bot. Abilita Javascript per vederlo.

 

Questo indirizzo e-mail è protetto dallo spam bot. Abilita Javascript per vederlo.

Objectives 


Pattern formation and energy focussing can be easily experienced when crumpling a sheet of paper or when tearing it. Indeed, nonlinear behaviours arise out of geometry, even when the material is described with a linearly elastic constitutive law. The main objective of this course is to demonstrate how geometrical constraints yield ordered and disordered patterns in elastic media under mechanical loading. The course will cover a whole spectrum from theoretical descriptions and approaches to applications such as micro-fabrication, biological growth, foldable structures, fragmentation, geophysical patterns, earthquakes, or contact between solids.

 


Outline

 

I.- Introduction to elasticity of continuous media

II.- Thin elastic plates

II.1.- Introduction: differential geometry of a surface, equations

II.2.- Buckling: roll-like patterns, growth-induced patterns

II.3.- Singularities: focussing of energy around points (developable cones) and lines (stretching ridges)

II.4.- Patterns from singularities and foldable structures

III.- Fracture and related problems

III.1.- Introduction to brittle fracture mechanics

III.2.- Quasi-static crack propagation: instabilities and crack-induced patterns

III.3.- Fast fracture: dynamics, instabilities, and fractography

III.4.- Friction: from fracture to earthquakes

III.5.- Adhesion and contact mechanics

 

Prerequisite

Undergraduate course on continuum mechanics and elastic media

Exam

Presentation of a research article

 

Giovedì 04 Luglio 2013 20:05

Transizioni di fasi mediante esempio

Written by Administrator

Nonlinear dynamics and statistical theories for geophysical flows

Informations pratiques


Discipline :

Physique

Niveau :

Master 2

Semestre :

S4a

Crédits ECTS :

3

Volume Horaire :

18h Cours

Responsable :

Antoine Venaille

Université Claude Bernard Lyon 1, Institut Lumière Matière

Intervenants :

Antoine Venaille

Plan du cours

 

1) Large scale flow patterns in forced-dissipative rotating fluids (Kelvin circulation theorem, role of symmetries and boundaries)

2) Rossby waves and baroclinic instability (linear dynamics and stability analysis)

3) Conservation laws and self-organization in 2D turbulence (statistical mechanics and turbulence)

4) Topological protection of equatorial waves (Consequences of breaking time reversal symmetry)

5) The thermal structure of planetary flows (radiative equilibrium, convection)

6) Predictability (dynamical system approach)

 

 

Modalité de l'examen

 

Large deviation theory and its main applications in
physics

Informations pratiques


Discipline :

Physique

Niveau :

Master 2

Semestre :

S4a

Crédits ECTS :

3

Volume Horaire :

18h Cours

Responsable :

Freddy Bouchet

CNRS & École Normale Supérieure de Lyon, Laboratoire de Physique

Intervenants :

Freddy Bouchet

Objectif

 

Large deviation theory describes rare fluctuations beyond the central limit theorem. For twenty years, this theory progressively became the main language of contemporary statistical mechanics. Its theoretical framework also became one of the basic tools of theoretical and mathematical physics besides statistical physics, with applications in field theory, condensed matter, fluid mechanics, turbulence, and also in a number of other domains of physics, theoretical chemistry or theoretical biology.

The aim of these lectures will be to give an elementary introduction to large deviation theory, aimed at studying its main physical application, at a level appropriate for graduating physicists. We will systematically motivate each chapter by relevant physical phenomena and concepts, before tintroducing the relevant formalism and theoretical tools. The main aim will be to make the students ready for original applications of their own, in physics or related sciences. The required level in theoretical physics will be a rather elementary graduate one. We will for instance deal with the following applications:

 

Plan du cours

1. The relation between large deviation theory and thermodynamical potentials
 
2. Computation of free energy and entropy functions for some basic problems in statistical physics

 

 

3. The relation between large deviation theory and thermodynamical potentials


4. Computation of free energy and entropy functions for some basic problems in statistical physics


5. Gallavoti, Cohen and Evans fluctuation theorems, Crooks and Jarzynski inequality and fluctuation theorem, some of the major developments of statistical mechanics basis during the last two decades


6. The relation between kinetic theory, large deviation theory, and the irreversibility paradox


7. The use of large deviation theory for dynamical system theory (finite time Lyapunov exponents)

 

8. Large deviation theory and disordered systems


9. propagation, transport) and turbulence (self-organization, turbulent transport)


10. The study of multistability phenomena in a multitude of physical applications (magnetic systems, physical chemistry, polymers, turbulence, and so on)


11. Application of large deviation theory for a model of Jupiter's Great Red Spot, and several applications to climate dynamics.)


 

Pré-requis

Physique statistique L3. Suggéré : Physique statistique des processus irréversibles M2

Modalité de l'examen

 

Lunedì 28 Marzo 2011 15:28

Fisica del mezzo interstellare e degli urti

Written by Administrator

Granular, disordered and jammed materials

Informations pratiques


Discipline :

Physique

Niveau :

Master 2

Semestre :

S4a

Crédits ECTS :

3

Volume Horaire :

18h Cours

Responsable :

Questo indirizzo e-mail è protetto dallo spam bot. Abilita Javascript per vederlo.

 

Intervenants :

Questo indirizzo e-mail è protetto dallo spam bot. Abilita Javascript per vederlo.

 

Plan du cours

 

1) Solides jammed et materiaux amorphes

Systemes physiques, observables, modeles microscopiques, dynamique.

2) La transition vitreuse

Transformation liquide-solide, caracteristiques, explications theoriques, heterogeneites dynamiques, modele de pieges.theorie champ moyen.

3) La transition de jamming

Definition, random close packing, compaction granulaire, mecanique statistique, mesure d'Edwards, criticalite.

4) Rheologie et plasticite

Deformation, ecoulement, rheo-epaississement, elasticite-plasticite des systemes amorphes.

 

Langue d'enseignement

Français (english upon request)

Lunedì 28 Marzo 2011 15:13

Fisica reologica

Written by Administrator

Topological defects in materials

Informations pratiques


Discipline :

Physique

Niveau :

Master 2

Semestre :

S3b

Crédits ECTS :

3

Volume Horaire :

18h Cours

Responsable :

Patrick Oswald

CNRS & École Normale Supérieure de Lyon, Laboratoire de Physique

Intervenants :

Patrick Oswald

Objectif et plan

 

Les défauts sont des brisures locales de symétrie dans un milieu ordonné. Ils peuvent être ponctuels, linéiques ou surfaciques. Les plus connus sont les dislocations qui sont des défauts linéaires brisant les symétries de translation. Historiquement, ces défauts ont d’abord été étudiés dans les solides à cause de leur importance en plasticité. Pour cette raison, la première partie du cours portera sur les  dislocations et les défauts ponctuels dans les solides et leur application à la  plasticité. Il existe un autre type de défauts linéaires, les  disinclinaisons, qui brisent cette fois les symétries rotationnelles. Ce sont les défauts de base des milieux avec des symétries continues, comme les cristaux liquides.


La deuxième partie du cours sera donc consacrée à leur étude dans les phases nématique et smectique. Les smectiques ayant une structure en couches, ils contiennent également des dislocations que nous étudierons en détail, notamment dans les films libres où on peut les voir facilement.


Nous terminerons le cours en montrant que, sous certaines conditions, les défauts peuvent proliférer et former des phases de défauts. Comme exemples, nous donnerons les phases bleues cholestériques qui sont  des phases nématiques chirales fortement frustrées, les phases smectiques hexatiques remplies d’un plasma de dislocations où l’ordre translationnel est à quasi-longue portée et les phases TGB (pour Twist-Grain Boundary) qui sont des phases smectiques torsadées analogues à la phase d’Abrikosov des supraconducteurs de type II.

Pré-requis

Physique statistique L3, Mécanique des milieux continus M1

Langue d'enseignement

Cours en français uniquement.

Modalité de l'examen

Écrit