Universal power law tails of time correlation functions

Abstract

The universal power law tails of single particle and multi-particle time correlation functions are derived from a unifying point of view, solely using the hydrodynamic modes of the system. The theory applies to general correlation functions, and to systems more general than classical fluids. Moreover it is argued that the collisional transfer part of the stress-stress correlation function in dense classical fluids has the same long time tail $\sim t^{-1-d/2}$ as the velocity autocorrelation function in Lorentz gases.

10 pages, 0 figures, Revised version: old Eqs(7)-(8) are replaced by new Eqs (7)-(10), based on renormalization of the fluctuating heat conduction equation for systems with quenched disorder. The new power law tail vanishes on a periodic lattice, as it should

References in corpus (3)

• Dissipative Particle Dynamics with energy conservation
• Static and Dynamic Properties of Dissipative Particle Dynamics
• Dissipative Particle Dynamics with Energy Conservation

Cited by in corpus (5)

• Dynamic regimes of fluids simulated by multiparticle-collision dynamics
• Hydrodynamic anomalies in supercritical fluid
• Model system for classical fluids out of equilibrium
• Power law tails of time correlations in a mesoscopic fluid model
• Generalized hydrodynamics of a dilute finite-sized particles suspension: Dynamic viscosity