Aging and multiscaling in out of equilibrium dynamical processes in granular media

TL;DR

This paper investigates out-of-equilibrium dynamics in granular media using frustrated lattice gas models, revealing aging effects, irreversible-reversible cycles, and multiscaling properties during compaction.

Contribution

It introduces a model-based analysis of aging and multiscaling in granular media, aligning theoretical predictions with experimental observations.

Findings

Identification of irreversible-reversible cycles during compaction

Observation of aging effects similar to glass transition phenomenology

Demonstration of logarithmic scaling of density correlation functions

Abstract

In the framework of recently introduced frustrated lattice gas models, we study the out of equilibrium dynamical processes during the compaction process in granular media. We find irreversible-reversible cycles in agreement with recent experimental observations. Moreover in analogy with the phenomenology of the glass transition we find aging effects during the compaction process In particular we find that the two time density correlation function $C(t,t')$ asymptotically scales as a function of the single variable $\ln(t')/\ln(t)$. This result is interpreted in terms of multiscaling properties of the system.