Statistical mechanics

B

• BBGKY hierarchy
• Boltzmann average
• Boltzmann constant
• Boltzmann distribution
• Boltzmann factor
• Born-Green equation
• Brownian motion

C

• Canonical ensemble
• Chemical potential
• Compressibility equation
• Critical points
• Curie's law

D

• de Broglie thermal wavelength

E

• Energy equation
• Entropy

F

• Four-body function

G

• Gibbs distribution
• Gibbs ensemble
• Gibbs paradox
• Goldstone modes
• Grand canonical ensemble

I

• Internal energy
• Intermolecular pair potential
• Isothermal-isobaric ensemble

J

• Joule-Thomson effect

K

• Kirkwood superposition approximation

L

• Law of corresponding states
• Liouville's theorem
• Lyapunov exponents

M

• Maxwell velocity distribution
• Microcanonical ensemble
• Microstate

P

• Pair distribution function
• Parrondo's paradox
• Partition function
• Phase space
• Phase transitions
• Poincaré theorem
• Pressure
• Pressure equation (aka. virial equation)

Q

• Quantum statistics

R

• Radial distribution function

S

• Semi-grand ensembles
• Structure factor
• Surface tension

T

• Temperature
• Thermodynamic limit

Z

• Zermelo’s paradox

General interest

• D. Ter Haar "Foundations of Statistical Mechanics", Reviews of Modern Physics 27 pp. 289 - 338 (1955)
• O. Penrose "Foundations of statistical mechanics", Reports on Progress in Physics 42 pp. 1937-2006 (1979)
• P. W. Anderson "More Is Different", Science 177 pp. 393-396 (1972)
• J. S. Rowlinson "The evolution of some statistical mechanical ideas", Molecular Physics 104 pp. 3399 - 3410 (2006)
• Elliott H. Lieb "Some problems in statistical mechanics that I would like to see solved", Physica A 263 pp. 491-499 (1999)
• Joel L. Lebowitz "Emergent Phenomena", Physik Journal 6 #9 pp. 41-46 (2007)

Information theory

• E. T. Jaynes "Information Theory and Statistical Mechanics", Physical Review 106 pp. 620 - 630 (1957)
• E. T. Jaynes "Information Theory and Statistical Mechanics. II", Physical Review 108 pp. 171 - 190 (1957)