Effective temperature in driven vortex lattices with random pinning

TL;DR

This paper numerically investigates the effective temperature in driven vortex lattices with random pinning, revealing how it varies with driving force and relates to melting and freezing phenomena.

Contribution

It introduces a method to compute the effective temperature in non-equilibrium vortex systems using a generalized fluctuation-dissipation relation.

Findings

Effective temperature decreases with increasing drive.

Effective temperature equals equilibrium melting temperature at transverse freezing.

Proposes experimental measurement via a generalized Kubo formula.

Abstract

We study numerically correlation and response functions in non-equilibrium driven vortex lattices with random pinning. From a generalized fluctuation-dissipation relation we calculate an effective transverse temperature in the fluid moving phase. We find that the effective temperature decreases with increasing driving force and becomes equal to the equilibrium melting temperature when the dynamic transverse freezing occurs. We also discuss how the effective temperature can be measured experimentally from a generalized Kubo formula.