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11510PHYS522000

統計力學二

Statistical Mechanics (II)

Instructor

  • Prof. Pochung Chen
  • R521, Physics building
  • pcchen {at} phys {dot} nthu {dot} edu {dot} tw

Lecture Time

  • R5R6R7

Room

  • Phys-208

Evaluation

Homework (60%), Final project (40%)

References

Course Description

We will roughly follow the chatper structure of N. D. Goldenfeld's Lectures on Phase Transitions and the Renormalisation Group up to the concerpt of renormalization group. We will supplement with materials from Dvaid Tong's two books as well as other references.

Chapter 1 Introduction

  • Question 0: Why do phase transitions occur at all?
  • Question 1: How can we calculate the phase diagram of a system as we change the external parameters?
  • Question 2: How do we compute the exponents which are observed at continuous transition?
  • Question 3: Why does universality occur, and what are the factors that determine which set of phenomena have the same critical expoents?

Tasks:

  • Task-1: Read Sec 5.1 Liquid-Gas Transition of Statistical Physics by David Tong. Make sure you understand how to study liquid-gas transition by the van der Waals equation. How to determine critical temperature and critical exponents. Write the code to generate figures.

  • Task-2: Read 5.2 The Ising Model of Statistical Physics by David Tong. Make sure you undersatnd the mean-field theory. How to determine critical temperature and critical exponents. Write the code to generate figures.

Weekly schedule

  • Week 01: 09/10/2026
  • Week 02: 09/17/2026
  • Week 03: 09/24/2026
  • Week 04: 10/01/2026
  • Week 05: 10/08/2026
  • Week 06: 10/15/2026
  • Week 07: 10/22/2026
  • Week 08: 10/29/2026
  • Week 09: 11/05/2026
  • Week 10: 11/12/2026
  • Week 11: 11/19/2026
  • Week 12: 11/26/2026
  • Week 13: 12/03/2026
  • Week 14: 12/10/2026
  • Week 15: 12/17/2026
  • Week 16: 12/24/2026