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Article Dans Une Revue Markov Processes And Related Fields Année : 2005

Generalized susceptibilities for a perfect quantum gas

Résumé

The system we consider here is a charged fermions gas in the effective mass approximation, and in grand-canonical conditions. We assume that the particles are confined in a three dimensional cubic box $\\Lambda$ with side $L\\geq 1$, and subjected to a constant magnetic field of intensity $ B \\geq 0 $. Define the grand canonical generalized susceptibilities $\\chi_L^N$, $N\\geq 1$, as successive partial derivatives with respect to $B$ of the grand canonical pressure $P_L$. Denote by $P_{\\infty}$ the thermodynamic limit of $P_L$. Our main result is that $\\chi_L^N$ admit as thermodynamic limit the corresponding partial derivatives with respect to $B$ of $P_{\\infty}$. In this paper we only give the main steps of the proofs, technical details will be given elsewhere.
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Dates et versions

hal-00015961 , version 1 (15-12-2005)

Identifiants

  • HAL Id : hal-00015961 , version 1

Citer

Philippe Briet, Horia Decebal Cornean, Louis Delphine. Generalized susceptibilities for a perfect quantum gas. Markov Processes And Related Fields, 2005, 11, pp.177-188. ⟨hal-00015961⟩
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