 99230 Joel L. Lebowitz, Marco Lenci and Herbert Spohn
 Large deviations for ideal quantum systems
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Jun 16, 99

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Abstract. We consider a general ddimensional quantum system of noninteracting
particles, with suitable statistics, in a very large (formally
infinite) container. We prove that, in equilibrium, the fluctuations
in the density of particles in a subdomain of the container are
described by a large deviation function related to the pressure of
the system. That is, untypical densities occur with a probability
exponentially small in the volume of the subdomain, with the
coefficient in the exponent given by the appropriate thermodynamic
potential. Furthermore, small fluctuations satisfy the central limit
theorem.
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