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arXiv · 1208.5545

Decomposition of modified Landau-Lifshitz-Gilbert equation and corresponding analytic solutions

Taichi Kosugi
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Abstract

The Suzuki-Trotter decomposition in general allows one to divide the equation of motion of a dynamical system into smaller parts whose integration are easier than the original equation. In this study, we first rewrite by employing feasible approximations the modified Landau-Lifshitz-Gilbert equation for localized spins in a suitable form for simulations using the Suzuki-Trotter decomposition. Next we decompose the equation into parts and demonstrate that the parts are classified into three groups, each of which can be solved exactly. Since the modified Landau-Lifshitz-Gilbert equation from which we start is in rather a general form, simulations of spin dynamics in various systems accompanying only small numerical errors are possible.

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Taichi Kosugi. 2012-08-28. Decomposition of modified Landau-Lifshitz-Gilbert equation and corresponding analytic solutions. https://doi.org/10.1103/physrevb.86.104402

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