Off equilibrium dynamics and aging in unfrustrated systems

TL;DR

This paper investigates the off-equilibrium dynamics and aging phenomena in unfrustrated systems like the random walk, scalar field, XY model, and spinodal decomposition, comparing them with spin-glass models.

Contribution

It provides a detailed analysis of deviations from equilibrium theorems and the asymptotic behavior of these unfrustrated systems, highlighting their aging properties.

Findings

Deviations from FDT and homogeneity in unfrustrated systems

Asymptotic behavior characterized by aging phenomena

Comparison with spin-glass models reveals distinct dynamical features

Abstract

We analyse the Langevin dynamics of the random walk, the scalar field, the X-Y model and the spinoidal decomposition. We study the deviations from the equilibrium dynamics theorems (FDT and homogeneity), the asymptotic behaviour of the systems and the aging phenomena. We compare the results with the dynamical behaviour of (random) spin-glass mean-field models.