# Thermal flux-flow regime in long Josephson tunnel junctions

## TL;DR

This paper investigates how soliton motion in long Josephson junctions influences thermal transport, revealing temperature profiles and the effects of bias current, magnetic field, and friction on thermal behavior.

## Contribution

It introduces a detailed analysis of thermal flux-flow regimes in long Josephson junctions, considering external fields and friction effects, which is a novel exploration of thermal dynamics in these systems.

## Key findings

- Steady multi-peaked temperature profiles linked to soliton distribution.
- Bias current and magnetic field determine flux-flow regime conditions.
- Friction impacts the thermal evolution and soliton dynamics.

## Abstract

We study thermal transport induced by soliton dynamics in a long Josephson tunnel junction operating in the flux-flow regime. A thermal bias across the junction is established by imposing the superconducting electrodes to reside at different temperatures, when solitons flow along the junction. Here, we consider the effect of both a bias current and an external magnetic field on the thermal evolution of the device. In the flux-flow regime, a chain of magnetically-excited solitons rapidly moves along the junction driven by the bias current. We explore the range of bias current triggering the flux-flow regime at fixed values of magnetic field, and the stationary temperature distribution in this operation mode. We evidence a steady multi-peaked temperature profile which reflects on the average soliton distribution along the junction. Finally, we analyse also how the friction affecting the soliton dynamics influences the thermal evolution of the system.