Model of amplitude modulations induced by phase slips in one-dimensional superconductors

TL;DR

This paper introduces a linear model describing amplitude modulations caused by phase slips in one-dimensional superconductors, emphasizing the constancy of the wave number during phase slip center formation.

Contribution

It presents a novel linear analytical model that captures amplitude modulations in phase slip centers while considering constant wave number during formation.

Findings

Model provides closed-form solutions for amplitude modulations.

Captures various modulation forms analytically.

Highlights the role of constant wave number in phase slip dynamics.

Abstract

We propose a linear model for the dynamics of amplitudes associated with formation of phase slip centers in a one-dimensional superconductor. The model is derived taking into account the fact that, during the formation of phase slip centers the wave number of the superconducting phase remains practically constant. The model captures various forms of amplitude modulations associated with PSCs in closed analytic forms.