Dispersive bottleneck delaying thermalization of turbulent Bose-Einstein Condensates

Abstract

A new mechanism of thermalization involving a direct energy cascade is obtained in the truncated Gross-Pitaevskii dynamics. A long transient with partial thermalization at small-scales is observed before the system reaches equilibrium. Vortices are found to disappear as a prelude to final thermalization. A bottleneck that produces spontaneous effective self-truncation and delays thermalization is characterized when large dispersive effects are present at the truncation wavenumber. Order of magnitude estimates indicate that self-truncation takes place in turbulent Bose-Einstein condensates. This effect should also be present in classical hydrodynamics and models of turbulence.

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• Finite Temperature Models of Bose-Einstein Condensation
• Hyperviscosity, Galerkin truncation and bottlenecks in turbulence
• Bottleneck crossover between classical and quantum superfluid turbulence

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