About this Journal Submit a Manuscript Table of Contents
Discrete Dynamics in Nature and Society
Volume 2004 (2004), Issue 1, Pages 3-17
http://dx.doi.org/10.1155/S1026022604401010

Superfluidity in the stochastic limit

1Centro Vito Volterra, Università di Roma “Tor Vergata,”, Roma 00133, Italy
2N. N. Semenov Institute of Chemical Physics, Russian Academy of Science, Kosygina Street, Moscow 117334, Russia

Received 5 January 2004

Copyright © 2004 Hindawi Publishing Corporation

Abstract

We discuss the stochastic limit approach to superfluidity. Starting from the usual Hamiltonian describing the interaction between the Bose condensate and the normal phase, we prove the existence of superfluidity in the stochastic limit and deduce a nonlinear (quadratic) kinetic equation describing the evolution of the density of superfluid liquid.