Lattice Gas Dynamics; Application to Driven Vortices in Two Dimensional Superconductors

TL;DR

This paper develops a lattice gas Monte Carlo model to study driven vortex states in 2D superconductors, revealing significant differences from simpler models and complex finite size effects.

Contribution

It introduces a continuous time Monte Carlo lattice gas dynamics approach for modeling driven vortex states in two-dimensional superconductors.

Findings

Differences observed compared to Metropolis dynamics.

Finite size effects at low temperature.

Transition from smectic to anisotropic liquid states.

Abstract

A continuous time Monte Carlo lattice gas dynamics is developed to model driven steady states of vortices in two dimensional superconducting networks. Dramatic differences are found when compared to a simpler Metropolis dynamics. Subtle finite size effects are found at low temperature, with a moving smectic that becomes unstable to an anisotropic liquid on sufficiently large length scales.