The impact of thermal noise on kink propagation through a heterogeneous system

TL;DR

This paper investigates how thermal noise affects the movement of kinks in a long Josephson junction, providing an analytical formula for transmission probability and validating it with simulations.

Contribution

It introduces an analytical formula for kink transmission probability under thermal noise and compares it with numerical simulations in a heterogeneous system.

Findings

Analytical formula accurately predicts kink transmission probability.

Thermal noise significantly influences kink propagation.

Simulation results confirm the analytical model's validity.

Abstract

The impact of thermal noise on kink motion through the curved region of the long Josephson junction is studied. On the basis of the Fokker-Planck equation the analytical formula that describes the probability of transmission of the kink over the potential barrier is proposed. The analytical results are compared with the simulations based on the field model.