Fiches de cours 2017-2018

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Statistical mechanics

MSE-421

Enseignant(s) :

Ceriotti Michele
Stellacci Francesco

Langue:

English

Summary

This course presents an introduction to statistical mechanics geared towards materials scientists. The concepts of macroscopic thermodynamics will be related to a microscopic picture and a statistical interpretation. Lectures and exercises will be complemented with hands-on simulation projects.

Content

- From macroscopic thermodynamics to statistical mechanics

- Probability: binomial distribution, central limit theorem, normal distribution

- Ensembles, observables and the partition function

- Examples from materials science

- Undistinguishable particles: Fermi and Bose-Einstein distributions

- Phase transitions: Ising model, spin glasses

- Renormalization Group Theory

- Theory of liquids - structure factor and radial distribution function

- Statistical theories of polymers

Learning Prerequisites

Important concepts to start the course

Phenomenological thermodynamics, probability and statistics. A brief "reminder" will be included at the beginning of the course. Practical exercises will be based on Mathematica notebooks: while they are structured in such a way that knowledge of Mathematica programming is not necessary, some familiarity with the software might be useful to go beyond the basic objectives of the exercises. 

Learning Outcomes

Teaching methods

Ex cathedra, exercises, and guided simulation projects

Expected student activities

Students are expected to study demonstrations and fundamental concepts following the course slides and the reference books, to solve the problems given during the exercise sessions, and to prepare (in groups) reports for the computational laboratory activities.

Assessment methods

Continuous evaluation, graded lab reports, final oral exam

Resources

Bibliography

E. Fermi, Thermodynamics, Dover

D. Chandler, Introduction to Modern Statistical Mechanics, Oxford University Press

K. Huang, Statistical Mechanics

J. M. Yeomans, Statistical Mechanics of Phase Transitions

Ressources en bibliothèque
Notes/Handbook

Comprehensive lecture slides will be provided before each lecture

Dans les plans d'études

Semaine de référence

 LuMaMeJeVe
8-9     
9-10     
10-11     
11-12     
12-13     
13-14     
14-15     
15-16     
16-17     
17-18     
18-19     
19-20     
20-21     
21-22     
En construction
 
      Cours
      Exercice, TP
      Projet, autre

légende

  • Semestre d'automne
  • Session d'hiver
  • Semestre de printemps
  • Session d'été
  • Cours en français
  • Cours en anglais
  • Cours en allemand