Kinetic description of a homogeneous Bose fluid with condensate

Feb 25, 2011, 9:00 AM
45m
FB53 (AlbaNova Main Building)

FB53

AlbaNova Main Building

Speaker

Jani Lukkarinen (University of Helsinki)

Description

In a joint work with Jogia Bandyopadhyay and Antti Kupiainen, we consider the kinetics of a three-dimensional fluid of weakly interacting bosons with supercritical densities. More precisely, we consider the postulated nonlinear Boltzmann-Nordheim equations for this system, in a spatially homogeneous state which has an isotropic momentum distribution. The resulting evolution equations have a surprisingly rich mathematical structure, where proper definitions play an important role. Elaborating on previous results, we propose a definition of the coupled equations for which the thermal equilibrium states are stationary. To test the validity of the equations, we study the global existence and uniqueness of solutions, as a problem about return to equilibrium from a perturbation of a thermal state with a condensate. The lessons learned from this enterprise ough

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