Interacting Brownian motions and the Gross-Pitaevskii formula
Probability
2007-09-19 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.0709.2771,
title = {Interacting Brownian motions and the Gross-Pitaevskii formula},
author = {Stefan Adams and Wolfgang König},
journal= {arXiv preprint arXiv:0709.2771},
year = {2007}
}