Non-Hydrodynamic Initial Conditions are Not Soon Forgotten
Statistical Mechanics
2021-10-05 v2 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Abstract
Solutions to hydrodynamic equations, which are used for a vast variety of physical problems, are assumed to be specified by boundary conditions and initial conditions on the hydrodynamic variables only. Initial values of other variables are assumed to be irrelevant for a hydrodynamic description. This assumption is not correct because of the existence of long-time-tail effects that are ubiquitous in systems governed by hydrodynamic equations. We illustrate this breakdown of a hydrodynamic description by means of the simple example of diffusion in a disordered electron system.
Keywords
Cite
@article{arxiv.2102.08447,
title = {Non-Hydrodynamic Initial Conditions are Not Soon Forgotten},
author = {T. R. Kirkpatrick and D. Belitz and J. R. Dorfman},
journal= {arXiv preprint arXiv:2102.08447},
year = {2021}
}
Comments
5pp