Driven Diffusion in the Two-Dimensional Lattice Coulomb Gas; A Model for Flux Flow in Superconducting Networks

Abstract

We carry out driven diffusion Monte Carlo simulations of the two dimensional classical lattice Coulomb gas in an applied uniform electric field, as a model for vortex motion due to an applied d.c. current, in a periodic superconducting network. A finite-size version of dynamic scaling is used to extract the dynamic critical exponent z, and infer the non-linear response at the transition temperature. We consider the f=0 and f=1/2 cases, corresponding to no applied magnetic field, and to one half flux quantum per unit cell of the network respectively.

25 pages, 7 figures (available from [email protected]), RevTex3.0, URST121

References in corpus (2)

• I-V Characteristics of High Temperature Superconductors with Columnar Defects
• Flux Pinning and Phase Transitions in Model High-Temperature Superconductors with Columnar Defects

Cited by in corpus (12)

• Vortex dynamics for two-dimensional XY models
• Dynamic scaling for 2D superconductors, Josephson junction arrays and superfluids
• Analysis of current-voltage characteristics of two-dimensional superconductors: finite-size scaling behavior in the vicinity of the Kosterlitz Thouless transition
• Monte Carlo calculation of the current-voltage characteristics of a two dimensional lattice Coulomb gas
• Monte Carlo calculation of the linear resistance of a three dimensional lattice Superconductor model in the London limit
• Resistivity scaling and critical dynamics of fully frustrated Josephson-junction arrays with on-site dissipation
• Resistance scaling at the Kosterlitz-Thouless transition
• Current-voltage characteristics of the two-dimensional XY model with Monte Carlo dynamics
• Ubiquitous finite-size scaling features in IV characteristics of various dynamic XY models in two dimensions
• Two dynamic exponents in the resistive transition of fully frustrated Josephson-junction arrays
• Critical behavior of dynamic vortex Mott transition in superconducting arrays at fractional vortex densities
• Critical exponents and fine-grid vortex model of the dynamic vortex Mott transition in superconducting arrays