**Texts:**

Introduction to Modern Statistical Mechanics, by David Chandler

Statistical Mechanics, by Donald A. McQuarrie

These should be relatively easy to find at online vendors.

**Other Useful Texts:**

*Molecular Driving Forces*, by Sarina Bromberg and Ken A. Dill*Methods in Molecular Biophysics*, by Igor N. Serdyuk, Nathan R. Zaccai and Joseph Zaccai*The principles of statistical mechanics*, by Richard Chace Tolman, (QC 175.T584p)*Theory of Simple Liquids*, by Jean-Pierre Hansen and Ian McDonald, (QC 145.2.H36 1986)*Understanding molecular simulation*, by Daan Frenkel and Berend Smit, (QD 461 .F86 1996)*Computer Simulation of Liquids*, by M.P. Allen and D.J. Tildesley, (QC 145.2.A43 1992)*Classical Mechanics*, by Herbert Goldstein, (QA 805 .G6 1980)*A modern course in statistical physics*, by L. E. Reichl, (QC 174.8.R44)*Statistical Mechanics*, by Kerson Huang, (QC 174.8 .H83 1987)*Statistical Mechanics*, by Shang-Keng Ma, (QC 174.8 .M2513 1985)*Mathematical Methods in the Physical Sciences*, by Mary L. Boas, (QA 37.B662)*Statistical Mechanics: a Set of Lectures*, by R.P. Feynman (QC 174.8 .F48)*Statistical thermodynamics of surfaces, interfaces, and membranes*, by Samuel A. Safran, (QC 173.4 .S94 S24 1994)*Hydrodynamic fluctuations, broken symmetry, and correlation functions*, by Dieter Forster, (QC 20.7 .C6 F67)*An Introduction to Statistical Thermodynamics*, by Terrell L. Hill, (QC 20.7 .C6 F67)

**Course Outline:**

- Mathematical Review & Classical Mechanics (McQuarrie, Chapters 1-3 and Chandler, Chapter 3)
- Lagrangian Formulation
- Hamiltonian Formulation
- Poisson Brackets and Canonical Transformations

- Classical approach to Ensembles
- Ensembles and Phase Space
- Liouville's Theorem
- Equilibrium Statistical Mechanics and it's ensembles

- Elementary Probability Theory
- Distributions and Averages
- Cumulants and Fluctuations
- The Central Limit Theorem

- Distributions & Fluctuations (Chandler, Chapter 3)
- Theory of Ensembles, Classical and Quantum
- Equivalence of Ensembles
- Fluctuations of Macroscopic Observables

- Basic Thermodynamics (Chandler, Chapter 1)
- Review of Concepts
- The Laws of Thermodynamics
- Legendre Transforms
- The Maxwell Relations
- The Gibbs-Duhem Equation and Extensive Functions
- Intensive Functions

- Phases & Phase Transitions: The Ising Model (Chandler, Chapter 5)
- Stability of Thermodynamics Phases
- First-order Phase transitions
- Interfaces
- The Ising Model
- Lattice Gas
- Broken Symmetry
- Mean Field Theory

- Methodology (Chandler, Chapter 6)
- Monte Carlo
- Trajectories
- Non-Boltzmann Sampling

- A brief introduction to Liquid Theory (Chandler, Chapter 7 and McQuarrie, Chapter 13)
- Averages
- Distribution Functions
- Reversible Work Theorem
*g(r)*- Molecular liquids

- Non-equilibrium systems (Chandler, Chapter 8 and McQuarrie Chapters 19-21)
- Fluctuation-Dissipation Theorem
- Onsager's Regression Hypothesis
- Brownian Motion, Friction and the Langevin Equation
- Transport
- Time Correlation Functions