Parallel simulation of the magnetic moment reversal within the $\phi_0$-Josephson junction model

TL;DR

This paper presents a parallel computational approach to simulate magnetization reversal domains in a superconductor-ferromagnetic-superconductor $ $-junction model, revealing effects of ferromagnetic resonance frequency.

Contribution

It introduces two parallel implementations using MPI and OpenMP for simulating the nonlinear dynamics of the $ $-junction model, demonstrating their efficiency.

Findings

Parallel MPI and OpenMP implementations are efficient for the model.

Frequency of ferromagnetic resonance influences MR domain configurations.

Numerical solutions confirm the effectiveness of the parallel methods.

Abstract

Periodic structure of the magnetization reversal (MR) domains is studied within the superconductor-ferromagnetic-superconductor $\phi_0$-junction model. The model is described by the Cauchy problem for the system of nonlinear ordinary equations which is numerically solved by means of the 2-step Gauss-Legendre method. Two versions of parallel implementation on the basis of MPI and OpenMP techniques have been developed. Efficiency of both versions is confirmed by test calculations. An effect of frequency of ferromagnetic resonance on the configuration of MR domains has been investigated.