Discrete Dynamics in Nature and Society 
Volume 2004 (2004), Issue 1, Pages 3-17
doi:10.1155/S1026022604401010

Superfluidity in the stochastic limit

L. Accardi1 and S. V. Kozyrev2

 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

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.