Chapter 4
Perfect Classical Gases
A perfect classical gas is an idealization of a real gas at high temperature
in which (1) the interaction between the atoms is ignored and (2) the atoms
are treated as classical particles. Gases were the subject of intens
Chapter 5
The Gibbs Statistical
Mechanics
In Chapter 3 we developed Boltzmanns statistical mechanics and in
Chapter 4 we applied it to perfect gases of non-interacting classical atoms and
molecules. Strictly, Boltzmanns statistical method, the method of t
Chapter 6
The Ensembles
In this chapter we discuss the three ensembles of statistical mechanics, the
microcanonical ensemble, the canonical ensemble and the grand canonical ensemble. Here canonical means simply standard or acceptable and the canonical
ens
Chapter 8
Fermi Systems
8.1
The Perfect Fermi Gas
In this chapter, we study a gas of non-interacting, elementary Fermi particles. Since the particles are non-interacting, the potential energy is zero, and
p2
the energy of each Fermion is simply related to
Chapter 7
Bose Systems
In this chapter we apply the results of section 5.3 to systems of particles
satisfying Bose-Einstein statistics. The examples are Black Body radiation (the
photon gas), atomic vibration in solids (the phonon gas) and alkali atoms in
Chapter 3
The Method of the Most
Probable Distribution
3.1
Averages and Perfect Classical Gases
In the introduction we noted that statistical mechanics has a single purpose: to nd the distribution of N weakly interacting systems over the energy
states ava
Chapter 2
Thermodynamic Resume
Thermodynamics is the study of the macroscopic properties of many particle bodies. It consists of relating these macroscopic properties to one another
and to specifying how the properties change when the constraints on the b
Chapter 1
Introduction
1.1
The Purpose of Statistical Mechanics
Statistical Mechanics is the mechanics developed to treat a collection of
a large number of atoms or particles. Such a collection is, for example, a solid
made up of N 1023 atoms or a liquid
Chapter 9
Statistical Interpretation of
Temperature and Entropy
Temperature and entropy were introduced initially as thermodynamic
quantities and interpreted in terms of macroscopic properties of a body in
Chapter 2. For example, for every uid it is possi