Statistical mechanics: Difference between revisions

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*[[Liouville's theorem]]
<blockquote>''"Ludwig Boltzmann, who spent much of his life studying statistical mechanics, died in 1906, by his own hand. Paul Ehrenfest, carrying on the work, died similarly in 1933. Now it is our turn to study statistical mechanics."''
:David L. Goodstein "States of Matter" Prentice-Hall (1975) ISBN 978-0138435578 (Chapter 1 page 1).</blockquote>
{{columns-list|3|
==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==
*[[Darwin-Fowler method]]
*[[de Broglie thermal wavelength]]
*[[de Broglie thermal wavelength]]
==E==
*[[Energy equation]]
*[[Entropy]]
*[[Entropy]]
*[[Partition function]]
*[[Ensembles in thermostatistics]]
*[[Boltzmann distribution]]
*[[Ergodic hypothesis]]
 
==F==
*[[Fermi-Pasta-Ulam experiment]]
*[[Fisher–Ruelle stability criteria]]
*[[Fisher-Widom line]]
*[[Four-body function]]
*[[Frenkel line]]
 
==G==
*[[Gibbs distribution]]
*[[Gibbs ensemble]]
*[[Gibbs ensemble]]
*[[Gibbs distribution]]
*[[Gibbs measures]]
*[[Canonical ensemble]]
*[[Gibbs paradox]]
*[[Goldstone modes]]
*[[Grand canonical ensemble]]
 
==I==
*[[Information theory]]
*[[Internal energy]]
*[[Intermolecular pair potential]]
*[[Isoenthalpic–isobaric ensemble]]
*[[Isothermal-isobaric ensemble]]
==J==
*[[Joule-Thomson effect]]
==K==
*[[Kirkwood superposition approximation]]
*[[Kolmogorov–Arnold–Moser theorem]]
 
==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]]
*[[Microcanonical ensemble]]
*[[Grand canonical 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==
*[[Quantum statistics]]
==R==
*[[Radial distribution function]]
*[[Ross melting rule]]
==S==
*[[Semi-grand ensembles]]
*[[Semi-grand ensembles]]
*[[Kirkwood superposition approximation]]
*[[Stochastic transition]]
*[[Born-Green equation]]
*[[Classical critical points]]
*[[Quantum critical points]]
*[[Structure factor]]
*[[Structure factor]]
*[[Curie's law]]
*[[Surface tension]]
*[[Maxwell velocity distribution]]
 
==T==
*[[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/10.1088/0034-4885/42/12/002 O. Penrose "Foundations of statistical mechanics", Reports on Progress in Physics '''42''' pp. 1937-2006 (1979)]
*[http://dx.doi.org/10.1126/science.177.4047.393 P. W. Anderson "More Is Different", Science '''177''' pp. 393-396 (1972)]
*[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://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__

Latest revision as of 10:46, 12 January 2020

"Ludwig Boltzmann, who spent much of his life studying statistical mechanics, died in 1906, by his own hand. Paul Ehrenfest, carrying on the work, died similarly in 1933. Now it is our turn to study statistical mechanics."

David L. Goodstein "States of Matter" Prentice-Hall (1975) ISBN 978-0138435578 (Chapter 1 page 1).


B

C

D

E

F

G

I

J

K

L

M

P

Q

R

S

T

W

Y

Z

General reading[edit]

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

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