Parallel Numerical Simulation of the Magnetic Moment Reversal within the φ₀-Josephson Junction Spintronic Model

¹ University of Plovdiv Paisii Hilendarski, Tzar Asen 24, 4000 Plovdiv, Bulgaria
² Department of Physics, Sofia University, J. Bourchier Blvd. 5, 1164 Sofia, Bulgaria
³ Joint Institute of Nuclear Research, 141980 Dubna, Moscow Region, Russia
⁴ Dubna State University, 141980 Dubna, Russia
⁵ Umarov Physical Technical Institute, TAS, 734063 Dushanbe, Tajikistan

^★ e-mail: stefani.panaiotova93@gmail.com
^★★ e-mail: bashashinmv@jinr.ru

Published online: 20 January 2020

Abstract

The φ₀-Josephson Dushanbe, Tajikistanjunction model with a coupling between the magnetic moment and the Josephson current in the “superconductor–ferromagnet–superconductor” system has been investigated. Numerical solution of the respective system of nonlinear differential equations is based on the two-stage Gauss–Legendre algorithm. For numerical simulation in a wide range of parameters which requires a significant computer time, a parallel MPI=C++ computer code has been developed. Results of numerical study of the magnetization effect depending on physical parameters, as well as results of methodological calculations demonstrating the efficiency of the parallel implementation, are presented. Calculations have been carried out at the Heterogeneous Platform “HybriLIT” and on the supercomputer “Govorun” of the Multifunctional Information and Computing Complex of the Laboratory of Information Technologies, JINR (Dubna).