PHYS 305

PHYS 305: Statistical Mechanics and Thermodynamics

Syllabus
 

Textbook: Kittel and Kroemer, Thermal Physics, 2nd ed., Freeman (1997)
 
Part I: Thermodynamics
 
1.      Zeroth Law of Thermodynamics
  • temperature
  • heat
2.      The First Law of Thermodynamics
  • internal energy
3.      The Second Law of thermodynamics
  • heat engine
  • Carnot cycle
  • Carnot's theorem
  • entropy 
  • reversible and irreversible change of state,
  • Maxwell's demon
4.      Thermodynamic Functions
  • the central equation of thermodynamics
  • energy, enthalpy
  • Helmholtz free energy
  • Gibbs free energy
  • the Clausius-Clapeyron equation
  • the Joul-Thomson effect
     
Part II: Statistical Mechanics
 
5.      General Treatment of Localized Assembly
  • a specific example
  • counting states
  • a binary model system
  • Lagrange's method of undetermined multipliers
  • two assemblies that can share energy
6.      Statistical Interpretation of Entropy
  • the Boltzmann factor
  • the partition function
7.      Idea Gas: a First Look
  • states of a particle in a box
  • partition function for N particles in a box
  • entropy of mixing
8.      Blackbody Radiation
  • photons
  • Planck distribution function
9.      Phonons in Solids: Debye Theory
 
10.    Chemical Potential
  • diffusive equilibrium
  • chemical work
  • internal and total chemical potential
  • batteries
11.    Gibbs Factor and Gibbs Sum
 
12.    Ideal Gas: a Second Look
  • Fermi-Dirac, Bose-Einstein, and Maxwell-Boltzmann distribution functions
  • internal degrees of freedom
13.    Fermi Gases
  • density of states
  • electrons in metals
14.    Bose Gases
  • Bose-Einstein condensation