Statistical mechanics: Difference between revisions
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==F== | ==F== | ||
*[[Fermi-Pasta-Ulam experiment]] | *[[Fermi-Pasta-Ulam experiment]] | ||
*[[Fisher–Ruelle stability criteria]] | |||
*[[Fisher-Widom line]] | *[[Fisher-Widom line]] | ||
*[[Four-body function]] | *[[Four-body function]] | ||
*[[Frenkel line]] | |||
==G== | ==G== | ||
| Line 59: | Line 61: | ||
==M== | ==M== | ||
*[[MaxEnt thermodynamics]] | |||
*[[Maxwell velocity distribution]] | *[[Maxwell velocity distribution]] | ||
*[[Maxwell's demon]] | *[[Maxwell's demon]] | ||
*[[Mean field models]] | |||
*[[Melting curve]] | |||
*[[Microcanonical ensemble]] | *[[Microcanonical ensemble]] | ||
*[[Microstate]] | *[[Microstate]] | ||
| Line 79: | Line 84: | ||
==R== | ==R== | ||
*[[Radial distribution function]] | *[[Radial distribution function]] | ||
*[[Ross melting rule]] | |||
==S== | ==S== | ||
*[[Semi-grand ensembles]] | *[[Semi-grand ensembles]] | ||
| Line 88: | Line 94: | ||
*[[Temperature]] | *[[Temperature]] | ||
*[[Thermodynamic limit]] | *[[Thermodynamic limit]] | ||
*[[Transfer matrices]] | |||
==W== | |||
*[[Widom line]] | |||
*[[Wigner's distribution function]] | |||
==Y== | |||
*[[Yang-Yang anomaly]] | |||
==Z== | ==Z== | ||
*[[Zermelo’s paradox]] (Wiederkehreinwand) | *[[Zermelo’s paradox]] (Wiederkehreinwand) | ||
| Line 97: | Line 109: | ||
* Terrell L. Hill "Statistical Mechanics: Principles and Selected Applications" (1956) ISBN 0486653900 | * Terrell L. Hill "Statistical Mechanics: Principles and Selected Applications" (1956) ISBN 0486653900 | ||
* Terrell L. Hill "An Introduction to Statistical Thermodynamics" (1986) ISBN 0486652424 | * Terrell L. Hill "An Introduction to Statistical Thermodynamics" (1986) ISBN 0486652424 | ||
* Arieh Ben-Naim " Statistical Thermodynamics With Applications to the Life Sciences", World Scientific Publishing (2014) ISBN 978-981-4579-15-5 | |||
'''Papers''' | '''Papers''' | ||
*[http://dx.doi.org/10.1103/RevModPhys.27.289 D. Ter Haar "Foundations of Statistical Mechanics", Reviews of Modern Physics '''27''' pp. 289 - 338 (1955)] | *[http://dx.doi.org/10.1103/RevModPhys.27.289 D. Ter Haar "Foundations of Statistical Mechanics", Reviews of Modern Physics '''27''' pp. 289 - 338 (1955)] | ||
Revision as of 13:20, 19 October 2016
B
- BBGKY hierarchy
- Boltzmann average
- Boltzmann constant
- Boltzmann distribution
- Boltzmann factor
- Born-Green equation
- Brownian motion
C
- Canonical ensemble
- Chemical potential
- Compressibility equation
- Critical exponents
- Critical points
- Curie's law
D
E
F
- Fermi-Pasta-Ulam experiment
- Fisher–Ruelle stability criteria
- Fisher-Widom line
- Four-body function
- Frenkel line
G
- Gibbs distribution
- Gibbs ensemble
- Gibbs measures
- Gibbs paradox
- Goldstone modes
- Grand canonical ensemble
I
- Information theory
- Internal energy
- Intermolecular pair potential
- Isoenthalpic–isobaric ensemble
- Isothermal-isobaric ensemble
J
K
L
- Law of corresponding states
- Liouville's theorem
- Loschmidt's paradox (Umkehreinwand)
- Lyapunov exponents
M
- MaxEnt thermodynamics
- Maxwell velocity distribution
- Maxwell's demon
- Mean field models
- Melting curve
- Microcanonical ensemble
- Microstate
- Mixing systems
P
- Pair distribution function
- Parrondo's paradox
- Partition function
- Phase space
- Phase transitions
- Poincaré theorem
- Pressure
- Pressure equation (aka. virial equation)
Q
R
S
T
W
Y
Z
- Zermelo’s paradox (Wiederkehreinwand)
General reading
Books
- Donald A. McQuarrie "Statistical Mechanics", University Science Books (1984) (Re-published 2000) ISBN 978-1-891389-15-3
- L. D. Landau and E. M. Lifshitz "Statistical Physics", Course of Theoretical Physics volume 5 Part 1 3rd Edition (1984) ISBN 0750633727
- Terrell L. Hill "Statistical Mechanics: Principles and Selected Applications" (1956) ISBN 0486653900
- Terrell L. Hill "An Introduction to Statistical Thermodynamics" (1986) ISBN 0486652424
- Arieh Ben-Naim " Statistical Thermodynamics With Applications to the Life Sciences", World Scientific Publishing (2014) ISBN 978-981-4579-15-5
Papers
- 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)