Thermal quasi-equilibrium states across Landau horizons in the effective gravity of superfluids

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  • 6 March 2000
Abstract
We describe the classical thermal counterpart of Hawking radiation in the presence of a quasiparticle ``Landau'' horizon. To this end, we first give an account of the physical behaviour of a quasiparticle horizon due to non-Lorentz invariant modifications of the effective space-time experienced by the quasiparticles (``matter'') for high momenta. By introducing a ``relativistic'' conserved energy-momentum tensor, we then derive equilibrium and quasi-equilibrium states of the fluid across the Landau horizon. It is argued, for the 1+1-dimensional case, that equilibrium states do only exist if quasiparticle motion is restricted exclusively to the low energy linear, ``relativistic'' corner of the energy spectrum. Dispersion establishes quasiparticle communication and exchange across the horizon, and is responsible for the production of entropy, caused by large momentum quasiparticles traversing the Landau horizon.

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