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Physics 418: Statistical Mechanics I
Prof. S. Teitel stte@pas.rochester.edu  Spring 2004
Lecture Notes
My hand written class lecture notes are being scanned and uploaded for you to view. Please be warned that these are the notes I prepare for myself to lecture from  they are not in general carefully prepared for others to read. I make no guarentees about their legibility, or that they are totally free of errors. I hope, nevertheless that you will find them useful. The lectures are uploaded as pdf files, so you will need Adobe Acrobat Reader in order to read them. You can download Acrobat Reader for free here.
The lecture note files correspond roughly to the material presented in a given day's lecture. But you may on occassion find the end of one day's lecture at the start of the file for the next day's lecture, so please look there if you think there might be something missing.
 Lecture 1  Basic postulates of classical thermodynamics; the entropy and maximum entropy principal; extensive and intensive variables; thermal, mechanical and chemical equilibrium
 Lecture 2  Concavity of the entropy; equations of state; Euler and GibbsDuhem relations; minimum energy principal
 Lecture 3  Legendre transformations
 Lecture 4  Other Thermodynamic Potentials: Helmholtz and Gibbs free energies, enthalpy, the grand potential; extremum principals for free
energies; Maxwell relations
 Lecture 5  Response functions and the relations between them; specific
heats, compressibilities, coeficient of thermal expansion; stability
and convexity or concavity of free energies
 Lecture 6  Kinetic theory of the ideal gas; Maxwell velocity distribution; ensembles and Liouville's theorem
 Lecture 7  The Microcanonical Ensemble and Entropy; entropy of an ideal gas
 Lecture 8  The entropy of mixing and Gibbs' paradox; indistinguishable particles; the canonical ensemble and partition function
 Lecture 9  The canoncial partition function and the Helmholtz free energy; the equivalence of the canonical and microcanonical ensembles;
the ideal gas in the canonical ensemble
 Lecture 9 Appendix  Derivation of Stirling's formula; entropy of the ideal gas in the microcanonical vs. canonical ensembles; average energy vs. most probable energy in the canonical ensemble
 Lecture 10  Virial and equipartition theorems; applications: Law of Dulong and Petit, Curie paramagnetism
 Lecture 11  Entropy and information theory
 Lecture 12  Grand canonical ensemble: grand partition function and grand potential, particle number and energy fluctuations
 Lecture 13  Grand canonical ensemble for noninteracting degrees of freedom; Quantum ensembles and the density operator
 Lecture 14  Quantum grand canonical ensemble; quantum statistics, fermions and bosons; two particle density matrix
 Lecture 15  Quantum Nparticle canonical partition function; quantum grand canonical partition functions for fermions and bosons
 Lecture 16  Occupation numbers in quantum and classical grand canonical ensemble; the classical limit of quantum ensembles
 Lecture 17  Chemical equilibrium; Debye model for specific heat of a solid; black body radiation
 Lecture 18  Energy and pressure of ideal quantum gases, the nondegenerate limit, Sommerfeld model for electrons in a metal
 Lecture 19  Sommerfeld model continued: finite temperature expansion, chemical potential, specific heat
 Lecture 20  Pauli paramagnetism, Landau diamagnetism
 Lecture 21  Landau diamagnetism continued
 Lecture 22  Bose Einstein condensation
 Lecture 23  Bose Einstein condensation, thermodynamic properties
 Lecture 24  Superfluid ^{4}He and BEC in laser cooled gases
 Lecture 24.5  Classical ideal gas with internal degrees of freedom
 Lecture 25  Nonideal classical gas: the Mayer cluster expansion
 Lecture 26  The virial expansion and Van der Waal's equation of state
 Lecture 27  Van der Waal's equation of state and the liquidgas phase transition; Maxwell's construction
 Lecture 28  Behavior at the liquidgas critical point in the Van der Waal theory; critical exponents
