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

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.

5 pages, 4 figures

References in corpus (3)

• Vortex dynamics in two-dimensional systems at high driving forces
• Faster Monte Carlo Simulations at Low Temperatures. The Waiting Time Method
• Dynamical Phase Diagrams for Moving Vortices Interacting with Periodic Pinning

Cited by in corpus (6)

• Statics and Dynamics of Skyrmions Interacting with Pinning: A Review
• Moving Vortex Phases, Dynamical Symmetry Breaking, and Jamming for Vortices in Honeycomb Pinning Arrays
• Rectification and Flux Reversals for Vortices Interacting with Triangular Traps
• Relaxation dynamics in type-II superconductors with point-like and correlated disorder
• Vortex Washboard Voltage Noise in Type-II Superconductors
• Continuous Time Monte Carlo and Spatial Ordering in Driven Lattice Gases: Application to Driven Vortices in Periodic Superconducting Networks