Large deviations for the local particle densities

Bru, J.-B. (2004) Large deviations for the local particle densities. (Preprint)

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Abstract

We analyze the relations between the large deviation principle of the “local” particle densities of the x− and k−spaces respectively. Here the k−space means the space of momentums (the Fourier transform counterpart of the x− space). This study gives new insights on the results of papers [2], where the authors have found the corresponding large deviation principle of the local particle density in the x− space. In particular, for a very large class of stable Hamiltonians we show that the “local” particle densities (x− and k−spaces) are equal to each other from the point of view of the large deviation principle. In other words, the “local” particle densities in the x− and k−spaces are in this case exponentially equivalent [1]. Applying this result to the specific case of the Perfect Bose Gas, we found an alternative proof to the one done in [2].

Item Type: Article
Uncontrolled Keywords: Large deviation principle, exponentially equivalent, Bose systems
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 13 Jun 2018 14:37
Last Modified: 16 Jul 2018 12:51
URI: http://dair.dias.ie/id/eprint/462

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