Advanced Statistical Physics and new Applications - Département de Physique de l'Ecole Normale supérieure

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Advanced Statistical Physics and new Applications

Accès rapides

Prochain Séminaire de la FIP :
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Retrouvez toutes les informations pour vos stages :
Stages L3
Stages M1 ICFP

Actualités : Séminaire de Recherche ICFP
du 14 au 18 novembre 2022 :
Retrouvez le programme complet

Contact - Secrétariat de l’enseignement :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr

Accès rapides

Prochain Séminaire de la FIP :
Accéder au programme

Retrouvez toutes les informations pour vos stages :
Stages L3
Stages M1 ICFP

Actualités : Séminaire de Recherche ICFP
du 14 au 18 novembre 2022 :
Retrouvez le programme complet

Contact - Secrétariat de l’enseignement :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr

Theoretical Physics = compulsory

Faculty : Frédéric Van Wijland

Tutor : Charlie Duclut

ECTS credits : 6

Language of instruction : English

Examination :
1st session : Homework 30% - written exam with handwritten document only 70%
2nd session :written exam with handwritten document only, 100%

Web site : https://frederic.vanwijland.org/enseignement-teaching/m2-icfp-2023-2024-advanced-statistical-mechanics

Description

Statistical physics is witnessing a revolution : understanding the dynamics of a very large number of interactive degrees of freedom, which has been from the beginning the main aim of statistical physics, has become now a central problem in many fields such as physics, biology, computer science, to name but a few.
Now more than ever, statistical physics is both for its methods and its applications a very powerful field endowed with a very broad range of theoretical methods and ramifications in many branches of science.

The aim of this series of lectures is twofold. The students will be introduced to this very rich state of the art. This will require learning new techniques and tools, and applying those to modern applications in physics and beyond.

The tentative outline of the lectures is as follows :

Statistical dynamics, Markov processes

Stochastic dynamics

Time reversal, and its consequences

Metastability and rare events

The mean-field approximation

Exactly solvable models

Critical dynamics, and renormalization

Dynamics with disorder

Prerequisites

Concepts and techniques to be revised before the beginning of the first semester :

Equilibrium statistical physics : statistical ensembles, thermodynamics, basic notions of phase transitions.

Students should have a good knowledge of statistical ensembles (canonical, micro-canonical and grand-canonical) and their use to compute thermodynamic properties of equilibrium systems. Basic notions and examples of phase transitions are also required.

Students can use their favourite book to revise.
A non-exhaustive list of possible sources from which one can choose :
Statistical Physics of Particles, M. Kardar
Principles of condensed matter physics, P. Chaikin, T. Lubensky
Statistical Mechanics, K. Huang
Statistical Mechanics, R. Kubo
An introduction to modern statistical mechanics, D. Chandler

Mathematical tools : basic probability theory, operator formalism.

A good working knowledge of basic probability theory will be important, in particular probability measures, conditioned probability, averages and moments.
The basic working knowledge on operator formalism used for quantum mechanics will be also required (functional operator, eigenstates, eigenvalues, etc).
The undergraduate texts the students had already used on these topics
will be enough to revise.

Accès rapides

Prochain Séminaire de la FIP :
Accéder au programme

Retrouvez toutes les informations pour vos stages :
Stages L3
Stages M1 ICFP

Actualités : Séminaire de Recherche ICFP
du 14 au 18 novembre 2022 :
Retrouvez le programme complet

Contact - Secrétariat de l’enseignement :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr