Section 6: The Boltzmann Distribution ctd: Free energy minimisation Mandl 2.6,
Baierlein chapter 5
Last lecture we derived the Boltzmann distribution for a system in equilibrium with a heat
bath at temperature T and we looked at a simple example of a one
Section 4: Entropy, Equilibrium & the Second Law
At the end of the last lecture we introduced the Boltzmann Law as a denition of entropy.
In this lecture we shall try and understand the signicance of the Boltzmann Law and how
it explains the second law of
Section 10: Ideal Gas and Indistinguishability
So far we have applied the Boltzmann theory for weakly interacting systems to solids and
their magnetic and vibrational properties. We now turn to the other example of a weakly
interacting system mentioned ba
FoMP: Probability & Statistics
1
Introduction
Probability theory allows us to make logical decisions in uncertain situations. This course
explains why probabilistic tools are essential both for theoretical and experimental physics.
It will also touch on t
STATISTICAL MECHANICS
The Classical Limit
7.1
Tutorial Sheet 7
Maxwell velocity distribution [R,S]
Review the arguments leading to the Maxwell distribution for molecular velocities
M
P (vx , vy , vz ) =
2kT
3/2
2
2
2
eM (vx +vy +vz )/2kT
Deduce the molecu
STATISTICAL MECHANICS
The Einstein Model of a Solid; Low density gases
5.1
Tutorial Sheet 5
Statistical mechanics of the 1d harmonic oscillator [R]
Review the argument leading to the result (for the mean energy of a 1d harmonic oscillator
of frequency )
1
STATISTICAL MECHANICS
The Ideal Gas
6.1
Tutorial Sheet 6
Distinguishability and the role of the N ! [S]
A container is divided by a partition into two equal regions of volume V , each holding N
identical molecules of gas, at temperature T . The partition