51. A Dynamical Self-Consistent Finite-Temperature Kinetic Theory: The ZNG Scheme
- Author
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A. Joy Allen, Carlo F. Barenghi, Nick P. Proukakis, and Eugene Zaremba
- Subjects
Condensed Matter::Quantum Gases ,Physics ,Local variable ,Mechanics ,01 natural sciences ,010305 fluids & plasmas ,Vortex ,Distribution function ,Scheme (mathematics) ,0103 physical sciences ,Thermal ,Kinetic theory of gases ,Dissipative system ,010306 general physics ,Quantum - Abstract
We review a self-consistent scheme for modelling trapped weakly-interacting quantum gases at temperatures where the condensate coexists with a significant thermal cloud. This method has been applied to atomic gases by Zaremba, Nikuni, and Gri n, and is often referred to as ZNG. It describes both mean-field-dominated and hydrodynamic regimes, except at very low temperatures or in the regime of large fluctuations. Condensate dynamics are described by a dissipative Gross‐Pitaevskii equation (or the corresponding quantum hydrodynamic equation with a source term), while the non-condensate evolution is represented by a quantum Boltzmann equation, which additionally includes collisional processes which transfer atoms between these two subsystems. In the mean-field-dominated regime collisions are treated perturbatively and the full distribution function is needed to describe the thermal cloud, while in the hydrodynamic regime the system is parametrised in terms of a set of local variables. Applications to finite temperature induced damping of collective modes and vortices in the mean-field-dominated regime are presented.
- Published
- 2013
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