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Physics 418: Statistical Mechanics I
Prof. S. Teitel stte@pas.rochester.edu  Spring 2005
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; extensive and intensive variables; maximum entropy principle and conditions for equilibrium
 Lecture 2  concavity of entropy; Euler relation; GibbsDuhem relation; minimum energy principle
 Lecture 3  Legendre transform and alternate thermodynamic potentials: Helmholtz and Gibbs free energies, enthalpy, the grand potential
 Lecture 4  reservoirs, minimum principle for free energies, Maxwell relations, response functions
 Lecture 5  response functions: relations between them and conditions imposed by the requirements of thermodynamic stability
 Lecture 6  kinetic theory of the ideal gas law, Maxwell's velocity distribution, statistical ensembles and the ergodic hypothesis
 Lecture 7  Liouville's Theorem and equilibrium ensembles, density of states and number of states in the microcanonical ensemble
 Lecture 8  number of states and entropy, the ideal gas, entropy of mixing and Gibbs' parodox
 Lecture 9  indistinguishable particles, the canonical ensemble, the canonical partition function and the Helmholtz free energy
 Lecture 10  energy fluctuations, equivalence of canonical and microcanonical ensembles, Stirling's formula, factorization of canonical partition function for noninteracting particles
 Lecture 11  virial and equipartition theorems, thermal vibrations of crystals and the Law of Dulong and Petit, Curie paramagnetism
 Lecture 12  entropy and information theory
 Lecture 13  grand canonical ensemble, energy and particle fluctuations
 Lecture 14  grand canonical partition function for noninteracting particles, chemical equilibrium, quantum ensembles
 Lecture 15  quantum many particle systems, BoseEinstein and FermiDirac statistics
 Lecture 16  two particle density matrix, grand partition function for noninteracting fermions and bosons
 Lecture 17  average occupation numbers for bosons and fermions, the classical limit of quantum ensembles, harmonic oscillator vs. bosons
 Lecture 18  Debye theory of the specific heat of solids, black body radiation
 Lecture 19  ideal quantum gases, single particle density of states, the "standard" functions, quantum correction to the equation of state at low densities, degenerate Fermi gas at T=0
 Lecture 20  degenerate Fermi gas: Sommerfeld expansion at low T, specific heat, Pauli paramagnetism
 Lecture 21  Pauli paramagnetism continued, ideal bose gas and BoseEinstein condensation
 Lecture 22  thermodynamics of BoseEinstein condensation, BEC in laser cooled atomic gases
 Lecture 23  classical gas of molecules with internal degrees of freedom
 Lecture 24  the classical nonideal gas and the Mayer cluster expansion
 Lecture 25  the virial expansion and the Van der Waals equation of state
 Lecture 26  the Van der Waals theory of the liquidgas phase transition
 Lecture 27  the Van der Waals theory of the liquidgas phase transition continued
 Lecture 28  free energy along the coexistence curve, ClausisuClapeyron relation, Gibbs phase rule (notes combined with those of lecture 27)
