Ensembles in thermostatistics: Difference between revisions

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'''Thermostatistical ensembles''' are collectives whose average behaviour reflects the actual behaviour of a physical system.
'''Thermostatistical ensembles''' are collectives whose average behaviour reflects the actual behaviour of a physical system.
==History==
==History==
The concept of thermostatistical ensembles was introduced by [[Josiah Willard Gibbs]] (Ref. ?). [[Albert Einstein]] also also, independently, introduced ensembles (Refs. 2 and 3).
The concept of thermostatistical ensembles was introduced by [[Josiah Willard Gibbs]] (Ref. 1). [[Albert Einstein]] also also, independently, introduced ensembles (Refs. 2 and 3).
==Frequently encountered ensembles==
==Representative ensembles==
*[[Canonical ensemble]] (<math>NVT</math>)
*[[Canonical ensemble]] (<math>NVT</math>)
*[[Gibbs ensemble]]
*[[Gibbs ensemble]]
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*[[Isothermal-isobaric ensemble]] (<math>NpT</math>)
*[[Isothermal-isobaric ensemble]] (<math>NpT</math>)
*[[Microcanonical ensemble]] (<math>NVE</math>)
*[[Microcanonical ensemble]] (<math>NVE</math>)
==See also==
==See also==
*[[Gibbs ensemble Monte Carlo]]
*[[Gibbs ensemble Monte Carlo]]
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*[[Monte Carlo in the microcanonical ensemble]]
*[[Monte Carlo in the microcanonical ensemble]]
==References==
==References==
# Josiah Willard Gibbs "Elementary principles in statistical mechanics developed with especial reference to the rational foundation of thermodynamics" (1902) [http://www.archive.org/download/elementaryprinci00gibbrich/elementaryprinci00gibbrich.pdf (scanned page images in PDF format)]
#[http://dx.doi.org/10.1002/andp.19023141007 A. Einstein "Kinetische Theorie des Wärmegleichgewichtes und des zweiten Hauptsatzes der Thermodynamik", Annalen der Physik '''9''' pp. 417-433 (1902)]
#[http://dx.doi.org/10.1002/andp.19033160510 A. Einstein "Eine Theorie der Grundlagen der Thermodynamik", Annalen der Physik '''11''' pp. 170-187 (1903)]
[[category: statistical mechanics]]
[[category: statistical mechanics]]

Revision as of 13:51, 30 July 2008

Thermostatistical ensembles are collectives whose average behaviour reflects the actual behaviour of a physical system.

History

The concept of thermostatistical ensembles was introduced by Josiah Willard Gibbs (Ref. 1). Albert Einstein also also, independently, introduced ensembles (Refs. 2 and 3).

Representative ensembles

See also

References

  1. Josiah Willard Gibbs "Elementary principles in statistical mechanics developed with especial reference to the rational foundation of thermodynamics" (1902) (scanned page images in PDF format)
  2. A. Einstein "Kinetische Theorie des Wärmegleichgewichtes und des zweiten Hauptsatzes der Thermodynamik", Annalen der Physik 9 pp. 417-433 (1902)
  3. A. Einstein "Eine Theorie der Grundlagen der Thermodynamik", Annalen der Physik 11 pp. 170-187 (1903)