# Physics 763 (old 203) -
Statistical Mechanics

TuTh 10:05 AM - 11:20 AM Physics 299

#

## Gleb Finkelstein, Rm.
093,
phone: 660-2523, e-mail: gleb at

Office hours: Wednesday 8:45-10:00 am + 15 min. after the class

## TA: Leo (Yao-Lung) Fang, e-mail: leo80042 at gmail

Office hours: Monday 10:00-11:00 am and Friday 3:00-4:00 pm

## Textbooks

Main one:
Statistical Mechanics, 2nd Edition, by R.K. Pathria (Elsevier)

Also, have a look at these
books (

for the following
subjects listed according to the syllabus)

Statistical Physics (Part 1), by Landau & Lifshitz (1c-4a)

Statistical Mechanics, by S.-K. Ma (4)

Fundamentals of Statistical and Thermal Physics, by F. Reif (6,
but also 3-5)

Statistical Mechanics, by K. Huang (5)

Physical Kinetics, by E M Lifshitz and L P Pitaevskii (5)

Statistical Physics I: Equilibrium Statistical Mechanics by M. Toda, R.
Kubo, N. Saito and M. Toda (1-2)

The Principles of Statistical
Mechanics, by R.C. Tolman (1a)

Statistical Mechanics: A Set of Lectures by R.P. Feynman (1c)

Thermodynamics and an Introduction to Thermostatistics, by H.B. Callen
(0 - refresh your thermodynamics)

in no particular order

## Syllabus

**1. Formulation of Statistical
Mechanics:**

a. Ensemble Theory, Liouville's equation

b. Canonical and Grand Canonical Ensemble

c. Density matrix, Wigner function

2. Gases:

a. Classical ideal: rotations, vibrations

b. Bose: condensation, black-body radiation, Debye
model

c. Fermi: heat capacitance, magnetization (Pauli and
Landau), Thomas-Fermi model

3. Non-ideal Gas:

a. Cluster expansion

b. Van der Vaals gas

4. Phase Transitions:

a. **Landau functional **

b. Ising model

c. Mean field approximation

5. Kinetic Theory:

a. Heat conductance

b. H theorem

6. Fluctuations:

a. Brownian motion,

b. Fluctuation-Dissipation theorem,

c. Johnson–Nyquist noise

Homework
(full set for the year; due dates to be communicated as the course
progresses)

Lecture notes
(they are not original or proof-read, but will give you a general
idea of material covered)

Policy:
It is OK to work in groups on the current homework assignments.

Using homeworks and solutions from the previous years is NOT allowed,

and will be considered as a reason for a failing grade.

Graded Material
Problem sets (mostly weekly): 20 %

Midterm exam: 20 %

Final exam: 60 %

If the final exam and the average home work grades
differ by more than 30/100,

the lower of the two may be taken in lieu
of the higher.

The midterm exam covers all subjects through 2a (classical ideal
gases)

The final includes all subjects covered in HW (syllabus items
1-4, also some material from items 5-6)

Final
EXAMSunday, December 16 2:00 PM - 5:00 PM

Fall *2012, last updated: 17-Aug**-**2012*

Originally prepared for Spring 2007.