**Copyright Information:**Mehran Kardar. 8.333 Statistical Mechanics I: Statistical Mechanics of Particles, Fall 2013. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed 4 Apr, 2016). License: Creative Commons BY-NC-SA

### Lecture Description

Topics: Canonical Formulation, Grand Canonical Formulation

### Course Index

- Thermodynamics I: The Zeroth & First Laws
- Thermodynamics II: The Second Law & Carnot Engines
- Thermodynamics III: Thermodynamic Potentials
- Thermodynamics IV: Third Law of Thermodynamics
- Probability I: Randonm Variables and Probability Distributions
- Probability II: The Central Limit Theorem
- Kinetic Theory of Gases I: Liouville's Theorem
- Kinetic Theory of Gases II: The Boltzmann Equation
- Kinetic Theory of Gases III: H-Theorem and Irreversibility
- Kinetic Theory of Gases IV: Conservation Laws
- Kinetic Theory of Gases V: Zeroth & First Orders of Hydrodynamics
- Classical Statistical Mechanics I: The Microcanonical Ensemble
- Classical Statistical Mechanics II: Mixing Entropy and Gibbs' Paradox
- Classical Statistical Mechanics III: The Gibbs & Grand Canonical Ensembles
- Interacting Particles I: The Cumulant Expansion
- Interacting Particles II: The Cluster Expansion
- Interacting Particles III: Van der Waals Equation
- Interacting Particles IV: Critical Point Behavior
- Interacting Particles V: Mean field theory of Condensation
- Quantum Statistical Mechanics I: Vibrations of a Solid
- Quantum Statistical Mechanics II: Microstates & Macrostates
- Ideal Quantum Gases I: Hilbert Space of Identical Particles
- Ideal Quantum Gases II: Grand Canonical Formulation
- Ideal Quantum Gases III: The Degenerate Fermi Gas
- Ideal Quantum Gases IV: The Degenerate Bose Gas
- Ideal Quantum Gases V: Superfluid He4

### Course Description

This is a two-semester course on statistical mechanics. Basic principles examined in this course are: The laws of thermodynamics and the concepts of temperature, work, heat, and entropy, postulates of classical statistical mechanics, microcanonical, canonical, and grand canonical distributions; applications to lattice vibrations, ideal gas, photon gas, quantum statistical mechanics; Fermi and Bose systems, interacting systems: Cluster expansions, van der Waal's gas, and mean-field theory.

Topics from modern statistical mechanics are explored in the next course in this sequence, 8.334 Statistical Mechanics II. These include: The hydrodynamic limit and classical field theories; phase transitions and broken symmetries: Universality, correlation functions, and scaling theory; the renormalization approach to collective phenomena; dynamic critical behavior; random systems.