Entropy maximisation problem for quantum relativistic particles

Miguel Escobedo; Stéphane Mischler; Manuel A. Valle

Bulletin de la Société Mathématique de France (2005)

  • Volume: 133, Issue: 1, page 87-120
  • ISSN: 0037-9484

Abstract

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The entropy of an ideal gas, both in the case of classical and quantum particles, is maximised when the number particle density, linear momentum and energy are fixed. The dispersion law energy to momentum is chosen as linear or quadratic, corresponding to non-relativistic or relativistic behaviour.

How to cite

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Escobedo, Miguel, Mischler, Stéphane, and Valle, Manuel A.. "Entropy maximisation problem for quantum relativistic particles." Bulletin de la Société Mathématique de France 133.1 (2005): 87-120. <http://eudml.org/doc/272508>.

@article{Escobedo2005,
abstract = {The entropy of an ideal gas, both in the case of classical and quantum particles, is maximised when the number particle density, linear momentum and energy are fixed. The dispersion law energy to momentum is chosen as linear or quadratic, corresponding to non-relativistic or relativistic behaviour.},
author = {Escobedo, Miguel, Mischler, Stéphane, Valle, Manuel A.},
journal = {Bulletin de la Société Mathématique de France},
keywords = {entropy; maximisation problem; moments; bosons; fermions},
language = {eng},
number = {1},
pages = {87-120},
publisher = {Société mathématique de France},
title = {Entropy maximisation problem for quantum relativistic particles},
url = {http://eudml.org/doc/272508},
volume = {133},
year = {2005},
}

TY - JOUR
AU - Escobedo, Miguel
AU - Mischler, Stéphane
AU - Valle, Manuel A.
TI - Entropy maximisation problem for quantum relativistic particles
JO - Bulletin de la Société Mathématique de France
PY - 2005
PB - Société mathématique de France
VL - 133
IS - 1
SP - 87
EP - 120
AB - The entropy of an ideal gas, both in the case of classical and quantum particles, is maximised when the number particle density, linear momentum and energy are fixed. The dispersion law energy to momentum is chosen as linear or quadratic, corresponding to non-relativistic or relativistic behaviour.
LA - eng
KW - entropy; maximisation problem; moments; bosons; fermions
UR - http://eudml.org/doc/272508
ER -

References

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