Out-of-equilibrium dynamics of the vortex glass

TL;DR

This paper investigates the out-of-equilibrium relaxation behavior of flux lines in high-temperature superconductors with disorder, revealing aging, FDT violation, and an effective temperature in the vortex glass phase.

Contribution

It provides a detailed analysis of the non-equilibrium dynamics of vortex lines, highlighting the emergence of aging and effective temperature concepts in the vortex glass.

Findings

At high temperatures, the system exhibits stationary dynamics with FDT validity.

At low temperatures, the system shows aging and FDT violation.

Scaling laws of the vortex glass dynamics are governed by single elastic line behavior.

Abstract

We study the relaxational dynamics of flux lines in high-temperature superconductors with random pinning using Langevin dynamics. At high temperatures the dynamics is stationary and the fluctuation dissipation theorem (FDT) holds. At low temperatures the system does not equilibrate with its thermal bath: a simple multiplicative aging is found, the FDT is violated and we found that an effective temperature characterizes the slow modes of the system. The generic features of the evolution -- scaling laws -- are dictated by the ones of the single elastic line in a random environment.