Statistical Physics, Second Revised and Enlarged Edition

Preface xi

A SURVIVAL GUIDE TO STATISTICAL PHYSICS

Chapter 1Assembly of NN identical particles

volumeVVV, in thermal equilibrium at

temperature T

Chapter 12 or 14 could help

orr read a thicker book

orrgive up!

Chapters 4,

is occupation number of each statef<< 1?

Chapters 2,

use Boltzmann statistics

Chapters 6, 7

use MB statistics

partition function:

for a monatomic gas

all

states

i.e. isA= 2 Mk

kkBT

2 MkkkBT

h^2

ZN

h^2

are the particles weakly interacting?

YES

gaseous particles?

YES

YES

3 / 2

3 / 2

N

V

Z = V

<<1?

NO

NO

(

( (

TT(

( (

nnjj=NZexp (–εεj/kkkBTTT)

Z=Σ(–εεj/kkkBTTT)

F=––NkkkBTlnZ

F=–kkkBTln

f(ε) =NZexp (–ε/kkkBTTT)

N

is ΨAor S?

NO

Chapter 8

use FD statistics

Chapter 9

use BE statistics

A S

f(ε) =^1

exp {(ε – )/kkkBT} + 1

f(ε)=^1

Bexp {ε/kkkBT} – 1

applies to odd-half integral

s 3 pin particles (electrons,

He, nucleons, some cold

atoms)

applies to zero or integral

spin particles (some cold

atoms,^4 He) Set B=1 if

no particle conservation

(photons, phonons)