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PHY 418: Statistical Mechanics I
Prof. S. Teitel stte@pas.rochester.edu  Spring 2018
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 guarantees 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 0  Sketching the history of statistical mechanics and thermodynamics (another such page here.)
 Lecture 1  Postulates of classical thermodynamics, entropy, temperature, pressure, chemical potential
 Lecture 2  Conditions for thermal, mechanical and chemical equilibrium, concavity of the entropy, equations of state, Euler relation, GibbsDuhem relation
 Lecture 3  Entropy of the ideal gas, entropy maximum vs energy minimum principle, Legendre transformation
 Lecture 4  Legendre transformations, Helmholtz and Gibbs free energies, enthalpy, the grand potential, reservoirs, extremum principles for free energies
 Lecture 5  Maxwell relations, response functions and relations between them, stability constraints on response functions
 Lecture 6  Curvature of free energies and stability requirements for response functions, heat engines, thermodynamic efficiency, Carnot cycle
 Lecture 7  Kinetic theory of ideal gas, Maxwell velocity distribution, Ergodic hypothesis, statisitcal ensembles, density matrix
 Lecture 8  Liouville's theorem, microcanonical ensemble, density of states and connection to entropy
 Lecture 9  Entropy of the ideal gas and problem of extensivity, entropy of mixing and Gibbs paradox, indistinguishable particles
 Lecture 10  The canonical ensemble and the canonical partition function, Helholtz free energy and the canonical partition function, energy fluctuations, equivalence of canonical and microcanonical ensembles in the thermodynamic limit
 Lecture 11  Average energy vs most probably energy, Stirling's formula, factoring the canonical partition function for noninteracting objects, the ideal gas in the canonical ensemble
 Lecture 12  Maxwell velocity distribution revisited, the virial theorm, the equipartition theorem, elastic vibrations of a solid and the law of Dulong and Petit, paramagnetism of classical spins
 Lecture 13  The Curie law of paramagnetic susceptibility, a note about the proper choice of coordinates, entropy and information
 Lecture 14  Entropy and information, the grand canonical ensemble
 Lecture 15  The grand canonical partition function and the grand potential, fluctuations of the number of particles

