Classical Fluid Analogies for Schr\"odinger-Newton Systems
Cosmology and Nongalactic Astrophysics
2025-07-15 v2 General Relativity and Quantum Cosmology
Abstract
The Schr\"odinger-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 Schr\"odinger-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.
Cite
@article{arxiv.2507.08583,
title = {Classical Fluid Analogies for Schr\"odinger-Newton Systems},
author = {Peter Coles and Aoibhinn Gallagher},
journal= {arXiv preprint arXiv:2507.08583},
year = {2025}
}
Comments
8 pages, 1 figure. arXiv admin note: text overlap with arXiv:2208.13851