Course program

[1] CLASSICAL THERMODYNAMICS (128--150)

Work and internal energy
Heat
Absolute temperature
Heat capacity and specific heat
Entropy
Extensive and intensive parameters

[2] SOME APPLICATIONS OF CLASSICAL THERMODYNAMICS (152--175)

Properties of ideal gases
Maxwell relations and thermodynamic functions

[3] STATISTICAL DESCRIPTION OF PARTICLE SYSTEMS (47--66)

Description of the states of a system
Statistical ensembles
Ground postulates
Probability calculations
Density of states

[4] DIFFERENT KINDS OF INTERACTION (66--74)

Thermal interaction
Mechanical interaction
General forms of interaction

[5] STATISTICAL THERMODYNAMICS (87--111)

Reversible and irreversible processes
Distribution of energy between systems in equilibrium
Entropy
Thermal equilibrium
Temperature
Heat reservoirs
The shape of the probability distribution

[6] EXAMPLES OF PHYSICALLY INTERESTING SITUATIONS (122--124; 201--219; 229--232)

Isolated systems
Systems in contact with a heat reservoir
Calculation of mean values for a canonical ensemble
Alternative derivation of the canonical distribution
Connections to thermodynamics
The laws of thermodynamics

[7] SOME APPLICATIONS OF STATISTICAL MECHANICS (237--256)

The partition function and its properties
Calculation of the thermodynamical properties of an ideal gas
Gibbs' paradox
The classical approximation
Proof of the equipartition theorem
Some simple applications of the equipartition theorem
Specific heat for solids
Paramagnetism

[8] DIFFERENT KINDS OF STATISTICS (MAXWELL-BOLTZMANN, BOSE-EINSTEIN, FERMI-DIRAC) (225--229; 331--362)

Identical particles and symmetry requirements
Foprmulation of statistical problems
Quantum mechanical distribution functions
Maxwell-Boltzmann statistics
Photon statistics
Bose-Einstein statistics
Fermi-Dirac statistics
General canonical ensembles
Quantum statistics in the classical limit
Calculation of the partition function

[9] BLACK BODY RADIATION (373--388)

Electro magnetic radiation in thermal equilibrium inside a cavity
Radiation emitted from a body
Stefan-Boltzmann's law
Radiation pressure

[10] CONDUCTION ELECTRONS IN METALS (388--397)

Consequences of the Fermi-Dirac distribution
Calculation of the electron contribution to the specific heat

[11] GENERAL EQUILIBRIUM CONDITIONS (288--301)

An isolated system
A system in contact with a reservoir with constant temperature
A system in contact with a reservoir with constant temperature and pressure
Stability conditions for a homogeneous substans

[12] EQUILIBRIUM BETWEEN PHASES AND CHEMICAL SUBSTANCES (301--325)

Clausius-Clapeyron's equation
The equation of state
Phase transitions
General properties of a system with several components
Equilibrium between phases
General conditions for chemical equilibrium
Chemical equilibrium between ideal gases
The chemical potential
The law of mass action

[13] SYSTEMS OF INTERACTING PARTICLES IN SOLIDS (407--418)

Lattice vibration
Debye approximation

[14] ELEMENTARY THEORY OF TRANSPORT PROCESSES (461--490)

Collision time
Scattering cross section
Viscosity
Difusion
Thermal and electrical conductivity