Eur. Phys. J. B (2015) 88: 32
https://doi.org/10.1140/epjb/e2014-50334-7

Regular Article

Simulation of the Brownian motion of the domain wall in a nonlinear force field of nanowires

¹ Siberian Federal University, 95 Krasnoyarskiy rabochiy prospect, 660025 Krasnoyarsk, Russia
² Krasnoyarsk State Pedagogical University, 89 Lebedevoy ulitsa, 660049 Krasnoyarsk, Russia

^a e-mail: orlhome@rambler.ru

Received: 24 May 2014
Received in final form: 6 December 2014
Published online: 2 February 2015

Abstract

The paper proposes a computer simulation method of the thermo-fluctuational motion of domain walls in ferromagnetic polycrystalline nanowires, taking into account a non-linear force field of magnetic inhomogeneities. The method makes use of stochastic Langevin function. Into the Langevin equation we added a member describing random force pattern of domain wall fixation on magnetic inhomogeneities. A variety of statistic characteristics of domain wall propagation process have been obtained: magnetization jumps distribution, activation energies distribution, distribution of magnetization switch waiting times and distribution of magnetization jump times. Paper shows that it is incorrect to apply Einstein-Smoluchowski equation for particle’s thermo-fluctuational motion in non-linear force field pattern.