Statistical mechanics: Difference between revisions
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{{columns-list|3| | |||
==B== | |||
*[[BBGKY hierarchy]] | *[[BBGKY hierarchy]] | ||
*[[Boltzmann average]] | |||
*[[Boltzmann constant]] | *[[Boltzmann constant]] | ||
*[[Boltzmann distribution]] | *[[Boltzmann distribution]] | ||
*[[Boltzmann factor]] | |||
*[[Born-Green equation]] | *[[Born-Green equation]] | ||
*[[Brownian motion]] | *[[Brownian motion]] | ||
==C== | |||
*[[Canonical ensemble]] | *[[Canonical ensemble]] | ||
*[[Chemical potential]] | *[[Chemical potential]] | ||
*[[Compressibility equation]] | *[[Compressibility equation]] | ||
*[[ | *[[Critical exponents]] | ||
*[[Critical points]] | *[[Critical points]] | ||
*[[Curie's law]] | *[[Curie's law]] | ||
==D== | |||
*[[Darwin-Fowler method]] | |||
*[[de Broglie thermal wavelength]] | *[[de Broglie thermal wavelength]] | ||
==E== | |||
*[[Energy equation]] | *[[Energy equation]] | ||
*[[Entropy]] | *[[Entropy]] | ||
*[[Ensembles in thermostatistics]] | |||
*[[Ergodic hypothesis]] | |||
==F== | |||
*[[Fermi-Pasta-Ulam experiment]] | |||
*[[Fisher–Ruelle stability criteria]] | |||
*[[Fisher-Widom line]] | |||
*[[Four-body function]] | |||
*[[Frenkel line]] | |||
==G== | |||
*[[Gibbs distribution]] | *[[Gibbs distribution]] | ||
*[[Gibbs ensemble]] | *[[Gibbs ensemble]] | ||
*[[Gibbs measures]] | |||
*[[Gibbs paradox]] | |||
*[[Goldstone modes]] | *[[Goldstone modes]] | ||
*[[Grand canonical ensemble]] | *[[Grand canonical ensemble]] | ||
==I== | |||
*[[Information theory]] | |||
*[[Internal energy]] | *[[Internal energy]] | ||
*[[Intermolecular pair potential]] | *[[Intermolecular pair potential]] | ||
*[[Isoenthalpic–isobaric ensemble]] | |||
*[[Isothermal-isobaric ensemble]] | *[[Isothermal-isobaric ensemble]] | ||
==J== | |||
*[[Joule-Thomson effect]] | |||
==K== | |||
*[[Kirkwood superposition approximation]] | *[[Kirkwood superposition approximation]] | ||
*[[Kolmogorov–Arnold–Moser theorem]] | |||
==L== | |||
*[[Law of corresponding states]] | |||
*[[Liouville's theorem]] | *[[Liouville's theorem]] | ||
*[[Loschmidt's paradox]] (Umkehreinwand) | |||
*[[Lyapunov exponents]] | *[[Lyapunov exponents]] | ||
==M== | |||
*[[MaxEnt thermodynamics]] | |||
*[[Maxwell velocity distribution]] | *[[Maxwell velocity distribution]] | ||
*[[Maxwell's demon]] | |||
*[[Mean field models]] | |||
*[[Melting curve]] | |||
*[[Microcanonical ensemble]] | *[[Microcanonical ensemble]] | ||
*[[Microstate]] | |||
*[[Mixing systems]] | |||
==P== | |||
*[[Pair distribution function]] | *[[Pair distribution function]] | ||
*[[Parrondo's paradox]] | |||
*[[Partition function]] | *[[Partition function]] | ||
*[[Phase space]] | *[[Phase space]] | ||
*[[Phase transitions]] | *[[Phase transitions]] | ||
*[[Poincaré theorem]] | |||
*[[Pressure]] | *[[Pressure]] | ||
*[[Pressure equation]] (aka. virial equation) | *[[Pressure equation]] (aka. virial equation) | ||
==Q== | |||
*[[Quantum statistics]] | *[[Quantum statistics]] | ||
==R== | |||
*[[Radial distribution function]] | *[[Radial distribution function]] | ||
*[[Ross melting rule]] | |||
==S== | |||
*[[Semi-grand ensembles]] | *[[Semi-grand ensembles]] | ||
*[[Stochastic transition]] | |||
*[[Structure factor]] | *[[Structure factor]] | ||
=== | *[[Surface tension]] | ||
*[[ | |||
*[[ | ==T== | ||
==General | *[[Temperature]] | ||
*[[Thermodynamic limit]] | |||
*[[Transfer matrices]] | |||
==W== | |||
*[[Widom line]] | |||
*[[Wigner's distribution function]] | |||
==Y== | |||
*[[Yang-Yang anomaly]] | |||
==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''' | |||
*[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)] | ||
*[http://dx.doi.org/10.1088/0034-4885/42/12/002 O. Penrose "Foundations of statistical mechanics", Reports on Progress in Physics '''42''' pp. 1937-2006 (1979)] | *[http://dx.doi.org/10.1088/0034-4885/42/12/002 O. Penrose "Foundations of statistical mechanics", Reports on Progress in Physics '''42''' pp. 1937-2006 (1979)] | ||
Line 45: | Line 116: | ||
*[http://dx.doi.org/10.1080/00268970600965835 J. S. Rowlinson "The evolution of some statistical mechanical ideas", Molecular Physics '''104''' pp. 3399 - 3410 (2006)] | *[http://dx.doi.org/10.1080/00268970600965835 J. S. Rowlinson "The evolution of some statistical mechanical ideas", Molecular Physics '''104''' pp. 3399 - 3410 (2006)] | ||
*[http://dx.doi.org/10.1016/S0378-4371(98)00517-2 Elliott H. Lieb "Some problems in statistical mechanics that I would like to see solved", Physica A '''263''' pp. 491-499 (1999)] | *[http://dx.doi.org/10.1016/S0378-4371(98)00517-2 Elliott H. Lieb "Some problems in statistical mechanics that I would like to see solved", Physica A '''263''' pp. 491-499 (1999)] | ||
*[http://www.pro-physik.de/Phy/pdfstart.do?mid=3&articleid=25753&recordid=25793 Joel L. Lebowitz "Emergent Phenomena", Physik Journal '''6''' #9 pp. 41-46 (2007)] | |||
[[category: statistical mechanics]] | |||
__NOTOC__ |
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)