Non-Hydrodynamic Initial Conditions are Not Soon Forgotten

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.

arXiv comment5pp

References in corpus (3)

• Many-body localization, thermalization, and entanglement
• Hydrodynamic Fluctuations, Long-time Tails, and Supersymmetry
• Prescaling and far-from-equilibrium hydrodynamics in the quark-gluon plasma

Cited by in corpus (4)

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• Effective dissipation rate in a Liouvillian graph picture of high-temperature quantum hydrodynamics
• Velocity-Dependent Forces and Non-Hydrodynamic Initial Conditions in Quantum and Classical Fluids
• Thermal versus entropic Mpemba effect in molecular gases with nonlinear drag