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PHY 418: Statistical Mechanics I
Prof. S. Teitel: stte@pas.rochester.edu  Spring 2021
Notes
On the Calendar
page, each Wednesday shows how far in the notes you should have read up to. For example, Wednesday February 10 says "Notes 16", meaning you should have completed reading through to the end of Notes 16 by that day's Discusssion Session.
 Unit 1  Classical Thermodynamics
 Notes 11  Postulates and Variables of Classical Thermodynamics
 Notes 12  Conditions for Equilibrium, Concavity of the Entropy
 Notes 13  The GibbsDuhem Relation, Entropy of the Ideal Gas, Energy Minimum Principle
 Notes 14  Legendre Transformations
 Notes 15  Free Energies
 Notes 16  Reservoirs and the Extremum Principles for Free Energy
 Notes 17  The Maxwell Relations
 Notes 18  Response Functions
 Notes 19  Stability and Response Functions
 Notes 110  Heat Engines
 Notes 110  Supplemental note on the Carnot Cycle
 Unit 2  Classical Ensembles
 Notes 21  Kinetic Theory of the Ideal Gas and the Maxwell Velocity Distribution
 Notes 22  The Ergodic Hypothesis  Time vs Ensemble Averages
 Notes 23  Liouville's Theorem
 Notes 24  The Microcannonical Ensemble and Entropy
 Notes 25  Entropy of the Ideal Gas in the Microcanonical Ensemble
 Notes 26  Entropy of Mixing and the Gibbs Paradox
 Notes 27  Indistinguishable Particles
 Notes 28  The Canonical Ensemble
 Notes 29  Equivalence of the Microcanonical and Canonical Ensembles
 Notes 210  Average Energy Vs Most Probably Energy; Stirling's Formula
 Notes 211  Factorization of the Canonical Partition Function for NonInteracting Particles
 Notes 212  The Virial Theorem and the Equipartition Theorem for Classical Systems
 Notes 213  Examples: The Specific Heat of Solids, Curie Paramagnetism
 Notes 214  A Note About the Proper Choice of Coordinates
 Notes 215  Entropy and Information
 Notes 216  The Grand Canonical Ensemble
 Notes 217  The Grand Canonical Ensemble and the Grand Potential
 Notes 218  NonInteracting Particles in the Grand Canonical Ensemble
 Notes 219  Chemical Equilibrium and an Example: A Gas in Equillibrium with Adsorption Sites
 Unit 3  Quantum Ensembles
 Notes 31  Quantum Ensembles and the Density Matrix
 Notes 32  Quantum Many Particle Systems  Bosons vs Fermions
 Notes 33  Particle in a Box States, the Two Particle Density Matrix
 Notes 34  Quantum Partition Function for NonInteracting Particles
 Notes 35  Average Occupation Numbers and Comparison of Quantum and Classical Ideal Gases
 Notes 36  The Quantized Harmonic Oscillator as Bosons, the Debye Model for the Specific Heat of a Solid
 Notes 37  Black Body Radiation
 Notes 38  The Quantum Ideal Gas and the Leading Quantum Correction to the Ideal Gas Law
 Notes 39  The Degenerate Fermi Gas, the Sommerfeld Model for Electrons in a Conductor
 Notes 310  Pauli Paramagnetism of the Electron Gas
 Notes 311  The Ideal Bose Gas and BoseEinstein Condensation
 Unit 4  Phase Transitions
 Notes 41  Classical Spin Models
 Notes 42  The Ising Model  A Qualitative Discussion
 Notes 43  The MeanField Approxximation for the Ising Model
 Notes 44  Critical Exponents within the MeanField Approximation
 Notes 45  The Maxwell Construction and the Gibbs Free Energy
 Notes 46  The LiquidGas Phase Transition
 Notes 47  The Infinite Range Ising Model and the 1D Ising Model
 Notes 48  Fluctuations and the Ginzburg Criterion

