Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.
MiS Preprint
77/2007
Interacting Brownian motions and the Gross-Pitaevskii formula
Stefan Adams and Wolfgang König
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.
large deviations, Gross-Pitaevskii-formula, interacting brownian motions, Bosons
Related publications
inBook
2008
Repository Open Access
Stefan Adams and Wolfgang König
Interacting Brownian motions and the Gross-Pitaevskii formula
In: Analysis and stochastics of growth processes and interface models : selected papers based on the presentations at a regional meeting of the London Mathematical Society and a workshop on `Analysis and stochastics of growth processes', Bath, UK, September 1 / Peter Mörters (ed.) Oxford : Oxford University Press, 2008. - pp. 173-193
