Methods of Statistical Physics

PHY 603- Spring 2016

PHY 603- Spring 2016

Instructor: Prof. Paulo Bedaque

3147 Physical Sciences Complex

Grader: TBA

Lecture times/place: Thuesdays & Thursdays, 9:30am to 10:45am on room 1201 in the (old) Physics building

Office hours: TBA

Textbook(s): We will not follow closely any textbook. A book that is not too different from the lectures is "Statistical Mechanics" by Pathria.

Interesting links

Accessible, short discussion of ergodic theory (somewhat dated).

Charles Bennett on the Maxwell's demon.

Lecture Notes (beware: mostly for my own private use, your mileage may vary)

Foundations

Thermodynamics

Canonical Ensemble

Canonical Ensemble

Quantum Gases

Approximation Methods

Phase Transitions

Homeworks

homework 1 solution

homework_2 solution

homework_3 solution

homework 4 solution

homework 5 solution

homework 6 solution

homework 7 solution

homework_8 solution

homework_9 solution

homework_10

Tentative Syllabus:

Introduction

Microcopic and macroscopic variables

Ensembles in phase space, ergodic hypothesis, microcanonical ensemble

Thermodynamics

The fundamental problem of thermodynamics, entropy

Energy minimum principle

Thermodynamics processes and engines

Other ensembles

Canonical ensemble, fluctuations of energy, equivalence to microcanonical ensembe, free energy

Grand canonical ensemble, fluctuations of particle number , equivalence to microcanonical ensembe, Gibbs potential

Other thermodynamical potentials

Quantum statistical mechanics

Density matrices and mixed states

Quantum gases

Ideal Bose gas, boson condensation; Black body radiation

Ideal Fermi gas, Fermi pressure and White dwarfs, paramagnetism and diamagnetism

Phase transitions

First order phase transition, Maxwell construction

Second order phase transitions; Guinsburg-Landau; spontaneous symmetry breaking, long range correlations, Landau-Wilson ideology, universality

3147 Physical Sciences Complex

Grader: TBA

Lecture times/place: Thuesdays & Thursdays, 9:30am to 10:45am on room 1201 in the (old) Physics building

Office hours: TBA

Textbook(s): We will not follow closely any textbook. A book that is not too different from the lectures is "Statistical Mechanics" by Pathria.

Interesting links

Accessible, short discussion of ergodic theory (somewhat dated).

Charles Bennett on the Maxwell's demon.

Lecture Notes (beware: mostly for my own private use, your mileage may vary)

Foundations

Thermodynamics

Canonical Ensemble

Canonical Ensemble

Quantum Gases

Approximation Methods

Phase Transitions

Homeworks

homework 1 solution

homework_2 solution

homework_3 solution

homework 4 solution

homework 5 solution

homework 6 solution

homework 7 solution

homework_8 solution

homework_9 solution

homework_10

Tentative Syllabus:

Introduction

Microcopic and macroscopic variables

Ensembles in phase space, ergodic hypothesis, microcanonical ensemble

Thermodynamics

The fundamental problem of thermodynamics, entropy

Energy minimum principle

Thermodynamics processes and engines

Other ensembles

Canonical ensemble, fluctuations of energy, equivalence to microcanonical ensembe, free energy

Grand canonical ensemble, fluctuations of particle number , equivalence to microcanonical ensembe, Gibbs potential

Other thermodynamical potentials

Quantum statistical mechanics

Density matrices and mixed states

Quantum gases

Ideal Bose gas, boson condensation; Black body radiation

Ideal Fermi gas, Fermi pressure and White dwarfs, paramagnetism and diamagnetism

Phase transitions

First order phase transition, Maxwell construction

Second order phase transitions; Guinsburg-Landau; spontaneous symmetry breaking, long range correlations, Landau-Wilson ideology, universality