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Title: Landau superfluids as nonequilibrium stationary states

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.4905084· OSTI ID:22403078
 [1]
  1. Instituto de Fisica USP, Rua do Matão, s.n., Travessa R 187, 05508-090 São Paulo (Brazil)

We define a superfluid state to be a nonequilibrium stationary state (NESS), which, at zero temperature, satisfies certain metastability conditions, which physically express that there should be a sufficiently small energy-momentum transfer between the particles of the fluid and the surroundings (e.g., pipe). It is shown that two models, the Girardeau model and the Huang-Yang-Luttinger (HYL) model, describe superfluids in this sense and, moreover, that, in the case of the HYL model, the metastability condition is directly related to Nozières’ conjecture that, due to the repulsive interaction, the condensate does not suffer fragmentation into two (or more) parts, thereby assuring its quantum coherence. The models are rigorous examples of NESS in which the system is not finite, but rather a many-body system.

OSTI ID:
22403078
Journal Information:
Journal of Mathematical Physics, Vol. 56, Issue 1; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
Country of Publication:
United States
Language:
English

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