MATSUMOTO MITSUHIRO (Graduate School of Engineering Associate Professor) KUROSE RYOUICHI (Graduate School of Engineering Professor)

Outline and Purpose of the Course

Based on elementary thermodynamics and statistical physics, I will describe non-equilibrium thermodynamics and advanced statistical physics, including phase transition, pattern formation, and entropy production.

Course Goals

Understanding the principle mechanisms of phase transition, cooperation phenomena, patern formation, and relaxation phenomena, in terms of advanced statistical mechanics and non-equilibrium thermodynamics.

Schedule and Contents

Elementary statistical physics: review,1time,Review of equilibrium statistical mechanics
Phase transition as a cooperative phenomenon,3times,Statistical mechanics of interacting particle system - Exact calculation - Monte Carlo simulation - Mean field approximation
Pattern formation of non-equilibrium systems,3times,After a time dependent Ginzburg-Landau (TDGL) model is introduced, formation of spatial patterns is discussed from various viewpoints.
Equilibrium thermodynamics: review,2times,Review of elementary thermodynamics
Non-equilibrium thermodynamics: Basics,5times,System stability and the principle of irreversible process are discussed in terms of thermodynamics.
Non-equilibrium thermodynamics: Applications,3times,- Entropy production - Linear response theory - Onsager's reciprocal relation
Check and Feedback,1time,

Evaluation Methods and Policy

Paper assignments

Course Requirements

Undergraduate level of Thermophysics, Heat transfer phenomena, and Statistical physics

Study outside of Class (preparation and review)

Exercises with simple numerical simulations are given.