Boundary effects on flux penetration in disordered superconductors

TL;DR

This paper studies how boundary conditions influence flux penetration in disordered superconductors using molecular dynamics simulations and a non-linear diffusion model, revealing key scaling behaviors.

Contribution

It introduces a phenomenological equation for flux front propagation that accurately captures the system's scaling behavior and boundary effects.

Findings

Boundary conditions significantly affect flux front scaling laws.

A non-linear diffusion equation effectively models flux penetration.

The proposed phenomenological model reproduces observed scaling exponents.

Abstract

We investigate flux penetration in a disordered type II superconductor by molecular dynamics simulations of interacting vortices. We focus on the effect of different boundary conditions on the scaling laws for flux front propagation. The numerical results can be interpreted using a coarse grained description of the system in terms of a non-linear diffusion equation. We propose a phenomenological equation for the front position that captures the essential behavior of the system and recovers the scaling exponents.