Off-equilibrium dynamics in a singular diffusion model

TL;DR

This paper presents a non-linear diffusion model exhibiting complex out-of-equilibrium behaviors like aging, slow decay of correlations, and heterogeneities, studied through simulations and mean field analysis.

Contribution

It introduces a new schematic non-linear diffusion model that captures rich off-equilibrium dynamics including glassy states and aging phenomena.

Findings

Identification of a long glassy region at low temperatures and high densities.

Observation of aging and slow autocorrelation decay.

Detection of spatial heterogeneities and fluctuation dissipation violation.

Abstract

We introduce a schematic non-linear diffusion model where density fluctuations induce a rich out of equilibrium dynamics. The properties of the model are studied by numerical simulations and analytically in a mean field approximation. At low temperatures and high densities we find a long off-equilibrium glassy region, where the system evolves out of an initially pinned state showing aging and a slow decay of the autocorrelation as an enhanced power law, along with strong spatial heterogeneities and violation of the fluctuation dissipation theorem.