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Physics 418: Statistical Mechanics I
Prof. S. Teitel stte@pas.rochester.edu  Spring 2002
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.
These lecture notes are also available online from the University Library's Voyager system. Just go to Voyager, click on "Search Voyager Catalogue", choose "Course Reserve", select "Teitel, S" from the instructor menu, and hit the "Search" button. On the resulting page, click on "Course notes [electronic]".
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; extensive and intensive variables; maximum entropy principle and conditions for equilibrium
 Lecture 2 concavity of entropy; Euler relation; GibbsDuhem relation; minimum energy principle (updated with minor corrections 2/21)
 Lecture 3 Legendre transform and alternate thermodynamic potentials (Helmholtz and Gibbs free energies)
 Lecture 4 Minimization principles for thermodynamic potentials, Maxwell relations, response functions (2nd derivatives)
 Lecture 5 Stability of thermodynamic systems, kinetic theory of the ideal gas, ergodic hypothesis, ensemble averages (updated with minor corrections 2/21)
 Lecture 6 Liouville's theorem, the microcanonical ensemble and its relation to the entropy, application to the ideal gas
 Lecture 7 Entropy of mixing, indistinguishable particles, the canonical ensemble and partition function
 Lecture 8 Helmholtz free energy and the canonical partition function, equivalence of canonical and microcanonical ensembles, noninteracting particles
 Lecture 9 Virial and equipartition theorems, law of Dulong and Petit, Curie paramagnetism
 Lecture 10 Entropy and information theory, grand canonical ensemble and grand canonical partition function
 Lecture 11 Grand potential and grand canonical ensemble, fluctuations, noninteracting particles, ideal gas
 Lecture 12 Quantum ensembles, density matrix, harmonic oscillator, FermiDirac and BoseEinstein symmetries of many particle systems
 Lecture 13 Pauli exclusion principle, real space density matrix for two particles, quantum statistics and spatial correlations
 Lecture 14 FermiDirac and BoseEinstein partition functions for noninteracting particles, occupation numbers, the classical limit, boson picture for harmonic oscillators, chemical equilibrium
 Lecture 15 Debye model for the specific heat of a solid, black body radiation
 Lecture 16 Fermi and Bose gases in the dilute limit  corrections to classical theory, degenerate Fermi gas  T=0 properties
 Lecture 17 Degenerate Fermi gas, low temperature expansion and specific heat
 Lecture 18 Pauli paramagnetism of the noninteracting electron gas
 Lecture 19 Landau diamagnetism of the noninteracting electron gas
 Lecture 20 Bose Einstein condensation in an ideal bose gas
 Lecture 21 Bose Einstein condensation  specific heat and entropy
 Lecture 22 Superfluid ^{4}He, BEC in trapped atomic gases, classical gas with internal degrees of freedom
 Lecture 23 Classical nonideal gas  the Mayer cluster expansion
 Lecture 24 Virial expansion for the equation of state, van der Waals theory of the liquidgas phase transition
 Lecture 25 Liquidgas phase transition continued  Maxwell construction and coexistence curve
 Lecture 26 Liquidgas phase transition continued  behavior near the critical point, critical exponents; ClausiusClapeyron relation and Gibbs sum rule
 Lecture 27 The Ising model, magnetic ensembles, spontaneously broken symmetry, phase transitions and the thermodynamic limit
 Lecture 28 The mean field solution of the Ising model and Landau's theory of 2nd order phase transitions
 Lecture 29 Exact solution of the 1d Ising model, LandauGinzburg theory and fluctuations about the mean field solution, the upper critical dimension
