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arXiv · 0709.2771

Interacting Brownian motions and the Gross-Pitaevskii formula

Stefan Adams·Wolfgang König
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Abstract

We review probabilistic approaches to the Gross-Pitaevskii theory describing interacting dilute systems of particles. The main achievement are large deviations principles for the mean occupation measure of a large system of interacting Brownian motions in a trapping potential. The corresponding rate functions are given as variational problems whose solution provide effective descriptions of the infinite system.

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Stefan Adams, Wolfgang König. 2007-09-18. Interacting Brownian motions and the Gross-Pitaevskii formula. https://arxiv.org/abs/0709.2771

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