11210phys113403

This is an old revision of the document!

Table of Contents

11210PHYS113403
普通物理Ａ一(General Physics A (I))

11210PHYS113403

普通物理Ａ一(General Physics A (I))

Instructor

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

Teaching Assistant

林彥彤 aronton0502 {at} gmail {dot} com

Time

R5R6R7

Room

Room 501

Grade

TBA

References

Daniel Arovas, Lecture Notes on Thermodynamics and Statistical Mechanics, (A Work in Progress), in PDF (2020).
- Chapter 9: Renormalization.
R. J. Baxter, Exactly Solved Models in Statistical Mechanics, in PDF (1989)
- Chapter 2, Chapter 6.
R. K. Pathria, Paul D. Beale, Statistical Mechanics, 3rd Edition (2011).
- Chapter 12, Chapter 13, Chapter 14.

Critical phenomena, Renormalization

Kim Christensen and Nicholas R. Moloney, Complexity and Criticality, 1st Edition, (2005).
- Chapter 2.
Michael Cross, Statistical Physics.
- Lecture 8, 9, 10, 11.
Leonid Levitov, Statistical Physics II, (MIT, 2003).
- Lecture 5, 6, 7.
- Ising Model
- Systematic finite-size scaling methods for analyzing critical points (and ordered phases), Anders W Sandvik, Boston University.

Topics

Phase transitions.
- Abrupt phase transitions.
- Continuous phase transitions.
Mean-field theories.
Landau theory.
Renormalization group.
Tensor network.
Exact solutions.
Models:
- Ising model.
- Potts model.
- XY model.

Weekly schedule

Week 1: 9/17/2020
- The van der Waals system.
- Fluids, Magnets, and the Ising Model.
- Arovas, Chapter 7.2, 7.3.
Week 2: 9/24/2020
- Mean Field Theory.
- Arovas, Chapter 7.4.
Week 3: 10/1/2020 中秋節
- No class.
Week 4: 10/8/2020
- Variational Density Matrix Method.
- Arovas, Chapter 7.5.
Week 5: 10/15/2020
- Variational Density Matrix Method.
- Arovas, Chapter 7.6.
Week 6: 10/22/2020
- Variational Density Matrix Method.
- Landau Theory of Phase Transition.
- Arovas, Chapter 7.5, 7.6.
Week 7: 10/29/2020
- Landau Theory of Phase Transition.
- Ising model.
- Arovas, Chapter 7.6, 6.2.
Week 8: 11/5/2020
- Ising model.
- Transfer matrix, Peierls’ argument.
- Arovas, Chapter 6.2.
- Pathria, Chapter 13.2.
- Baxter, Chapter 2.
Week 9: 11/12/2020
- 2D Ising model.
- High temperature expansion, low temperature expansion.
- Duality transformation.
- Pathria, Chapter 13.4.
- Baxter, Chapter 6.
Week 10: 11/19/2020
- Renormalization group.
Week 11: 11/26/2020
- Renormalization group.
Week 12: 12/3/2020
- Scaling.
- Renormalization group.
Week 13: 12/10/2020
- Renormalization group.
Week 14: 12/17/2020
- Renormalization group.
- Finite size scaling.
Week 15: 12/24/2020
- Renormalization group.
- Finite size scaling.
Week 16: 12/31/2020
- Finite size scaling.
- Tensor renormalization group.
Week 17: 1/7/2021
Week 18: 1/14/2021

Homework

11210phys113403.1686791184.txt.gz · Last modified: 2023/06/15 01:06 by pcchen