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.
Domaines
Physique mathématique [math-ph]
Loading...