no. 1
Entropy maximisation problem for quantum relativistic particles
[Maximisation d'entropie pour particules relativistes quantiques]
Bulletin de la Société Mathématique de France, Tome 133 (2005) no. 1, pp. 87-120.

L'entropie d'un gaz idéal de particules, classiques ou quantiques, est maximisée lorsque la densité du nombre de particules, l'impulsion et l'énergie sont fixées. La loi de dispersion qui relie l'impulsion et l'énergie est linéaire ou quadratique, selon que le comportement des particules est non relativiste ou relativiste.

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.

DOI : 10.24033/bsmf.2480
Classification : 82B40, 82C40, 83-02
Keywords: entropy, maximisation problem, moments, bosons, fermions
Mot clés : entropie, maximisation, moments, bosons, fermions 
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     title = {Entropy maximisation problem for quantum relativistic particles},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
     pages = {87--120},
     publisher = {Soci\'et\'e math\'ematique de France},
     volume = {133},
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     year = {2005},
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Escobedo, Miguel; Mischler, Stéphane; Valle, Manuel A. Entropy maximisation problem for quantum relativistic particles. Bulletin de la Société Mathématique de France, Tome 133 (2005) no. 1, pp. 87-120. doi : 10.24033/bsmf.2480. http://archive.numdam.org/articles/10.24033/bsmf.2480/

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