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Main Authors: Coles, Peter, Gallagher, Aoibhinn
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2507.08583
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author Coles, Peter
Gallagher, Aoibhinn
author_facet Coles, Peter
Gallagher, Aoibhinn
contents The Schrödinger-Poisson formalism has found a number of applications in cosmology, particularly in describing the growth by gravitational instability of large-scale structure in a universe dominated by ultra-light scalar particles. Here we investigate the extent to which the behaviour of this and the more general case of a Schrödinger-Newton system, can be described in terms of classical fluid concepts such as viscosity and pressure. We also explore whether such systems can be described by a pseudo-Reynolds number as for classical viscous fluids. The conclusion we reach is that this is indeed possible, but with important restrictions to ensure physical consistency.
format Preprint
id arxiv_https___arxiv_org_abs_2507_08583
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Classical Fluid Analogies for Schrödinger-Newton Systems
Coles, Peter
Gallagher, Aoibhinn
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
The Schrödinger-Poisson formalism has found a number of applications in cosmology, particularly in describing the growth by gravitational instability of large-scale structure in a universe dominated by ultra-light scalar particles. Here we investigate the extent to which the behaviour of this and the more general case of a Schrödinger-Newton system, can be described in terms of classical fluid concepts such as viscosity and pressure. We also explore whether such systems can be described by a pseudo-Reynolds number as for classical viscous fluids. The conclusion we reach is that this is indeed possible, but with important restrictions to ensure physical consistency.
title Classical Fluid Analogies for Schrödinger-Newton Systems
topic Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2507.08583