Relativistic superfluid profiles near critical surfaces

Fuente: arXiv
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Autori principali: Gavassino, Lorenzo, Soloviev, Alexander
Natura: Preprint
Pubblicazione: 2025
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author Gavassino, Lorenzo
Soloviev, Alexander
author_facet Gavassino, Lorenzo
Soloviev, Alexander
contents Landau's two-fluid model of superfluidity ceases to apply in regions where the condensate amplitude exhibits rapid spatial variation, such as vortex cores or in the vicinity of container walls. A recently proposed relativistic Gross-Pitaevskii-type framework treats the condensate as an independent scalar degree of freedom, enabling a controlled analysis of such regimes. We use it to construct stationary superflows close to the superfluid-normal phase boundary, and examine their stability. We obtain an exact expression for Landau's critical velocity and show that the standard Newtonian profiles (such as the near-vortex condensate depletion or the boundary-layer decay) persist unmodified in the relativistic setting. We further analyse a genuinely relativistic configuration in which an accelerated superfluid develops a phase boundary induced by Tolman temperature gradients.
format Preprint
id arxiv_https___arxiv_org_abs_2512_16797
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Relativistic superfluid profiles near critical surfaces
Gavassino, Lorenzo
Soloviev, Alexander
Nuclear Theory
Quantum Gases
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Landau's two-fluid model of superfluidity ceases to apply in regions where the condensate amplitude exhibits rapid spatial variation, such as vortex cores or in the vicinity of container walls. A recently proposed relativistic Gross-Pitaevskii-type framework treats the condensate as an independent scalar degree of freedom, enabling a controlled analysis of such regimes. We use it to construct stationary superflows close to the superfluid-normal phase boundary, and examine their stability. We obtain an exact expression for Landau's critical velocity and show that the standard Newtonian profiles (such as the near-vortex condensate depletion or the boundary-layer decay) persist unmodified in the relativistic setting. We further analyse a genuinely relativistic configuration in which an accelerated superfluid develops a phase boundary induced by Tolman temperature gradients.
title Relativistic superfluid profiles near critical surfaces
topic Nuclear Theory
Quantum Gases
General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2512.16797