Instructor: Prof. Paulo Bedaque
3147 Physical Sciences Complex
Grader: TBA
Lecture times/place: Thuesdays & Thursdays, 9:30am to 10:45am on room 1201 in the (old) Physics building
Office hours: TBA
Textbook(s): We will not follow
closely any textbook. A book that is not too different from the lectures is "Statistical Mechanics"
by Pathria.
Interesting links
Accessible, short
discussion of ergodic theory (somewhat dated).
Charles Bennett on the
Maxwell's demon.
Lecture Notes (beware: mostly for my own private use, your mileage may vary)
Foundations
Thermodynamics
Canonical Ensemble
Canonical Ensemble
Quantum Gases
Approximation Methods
Phase Transitions
Homeworks
homework 1 solution
homework_2 solution
homework_3 solution
homework 4 solution
homework 5 solution
homework 6 solution
homework 7 solution
homework_8 solution
homework_9 solution
homework_10
Tentative Syllabus:
Introduction
Microcopic and macroscopic variables
Ensembles in phase space, ergodic hypothesis, microcanonical ensemble
Thermodynamics
The fundamental problem of thermodynamics, entropy
Energy minimum principle
Thermodynamics processes and engines
Other ensembles
Canonical ensemble, fluctuations of energy, equivalence to microcanonical ensembe, free energy
Grand canonical ensemble, fluctuations of particle
number , equivalence to microcanonical ensembe, Gibbs potential
Other thermodynamical potentials
Quantum statistical mechanics
Density matrices and mixed states
Quantum gases
Ideal Bose gas, boson condensation; Black body radiation
Ideal Fermi gas, Fermi pressure and White dwarfs, paramagnetism and diamagnetism
Phase transitions
First order phase transition, Maxwell construction
Second order phase transitions; Guinsburg-Landau; spontaneous symmetry
breaking, long range correlations, Landau-Wilson ideology, universality