Magnetic flux dynamics in critical state of one-dimensional discrete superconductor

TL;DR

This paper presents a theoretical model of magnetic flux avalanches in one-dimensional superconductors, demonstrating self-organized criticality and power-law flux jumps, aligning qualitatively with experimental observations.

Contribution

It introduces a one-dimensional multijunction SQUID model to describe avalanche dynamics and self-organized criticality in type-II superconductors.

Findings

Flux avalanches follow a power-law size distribution.

The model reproduces key magnetic properties of superconductors.

Results align qualitatively with experimental data.

Abstract

We give a theoretical description of avalanche-like dynamics of magnetic flux in the critical state of "hard" type-II superconductors using a model of a one-dimensional multijunction SQUID that well reproduces the main magnetic properties of these objects. We show that the system under consideration demonstrates the self-organized criticality. The avalanches of vortices manifest themselves as jumps of the total magnetic flux in the sample. The sizes of these jumps have a power-law distribution. Our results are in qualitative agreement with experiments.