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Statistical Physics : advanced and new Applications

Quick links

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Next student seminar :
Access to the program

Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship

News : ICFP Research seminars
November 14 - 18, 2022 :

All information about the program

Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr

Faculty: Henk Hilhorst
Tutor: Kirone MALLICK
Condensed Matter Physics: Option
Macroscopic Physics and Complexity: Option
Quantum Physics: Option
Theoretical Physics: Compulsory
ECTS credits: 6
Language of instruction: English
Web site:

Description

BASIC TOOLS OF STATISTICAL PHYSICS

  • Statistical Ensembles,
  • Examples
  • Phase transitions
  • Rigorous proofs (Peierls, Griffiths)
  • Series expansions
  • Mean field theory
  • Introduction to the renormalization group. Finite size scaling
  • Stochastic dynamics, detailed balance, Monte Carlo method
  • Langevin equation
  • Non equilibrium systems

GEOMETRICAL MODELS OF STATISTICAL PHYSICS

  • Random walks, Levy laws
  • Polymers, n -> 0 limit, Flory argument, upper critical dimension
  • Percolation, q -> 1 limit,
  • Contact processes

DISORDERED SYSTEMS

  • Introduction, replica method, averaging
  • Lyapounov exponents
  • Harris criterion, Imry Ma argument
  • Diffusion in a random potential
  • Introduction to spin glasses
  • Simple models of evolution

Prerequisites

the students are expected to be familiar with elementary notions of statistical mechanics and of probability theory.

Quick links

Next student seminar :
Access to the program

Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship

News : ICFP Research seminars
November 14 - 18, 2022 :

All information about the program

Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr