CH7320 – Introduction to Statistical Thermodynamics

CH7320 – Introduction to Statistical Thermodynamics

Course Content:

Postulates of statistical mechanics, isolated system, entropy, correspondence of statistical approach with laws of macroscopic thermodynamics, ensembles: NVE, NVT, NPT, μVT. Entropy maximization. Partition functions and derivatives, fluctuations, energy, density, pressure, configurational integral, virial equation of state, ideal and non-ideal monoatomic and polyatomic gases, particle densities & molecular distribution functions (canonical ensemble). Equations relating thermodynamic properties to g(r). Potential of mean force. Grand-canonical ensemble & distribution functions, compressibility equation.

Integral equation theories I: g(r), YBG equations, BBGKY hierarchy, integral equation theories II: density expansion of pair correlaton function & direct correlation function; Ornstein-Zernicke equation, approximate closures & the PY and HNC equation, average energy, compressibility. Hard-sphere (HS) fluids & extended hard sphere theories (scaled-particle theory), Wertheim’s and Thiele’s solution to HS fluids. Analytical solutions of HS fluid EOS.

EOS for dense gases and liquids, intermolecular potentials. Einstein and Debye theory of crystals.


  1. T.L. Hill, Introduction to statistical thermodynamics, Addison-Wesley (1960)
  2. T.L. Hill, Statisical mechanics, McGraw-Hill (1956)
  3. Munster, Statistical thermodynamics, Springer, Vols. 1, 2 (1970)
  4. A. McQuarrie, Statistical Mechanics, University Science Books (2000)
  5. T.M. Reed & K.E. Gubbins, Applied statistical mechanics, McGraw-Hill (1973)
  6. Attard, Thermodynamics and statistical mechanics, Academic Press, Elsevier (2002)