Stable and fast semi-implicit integration of the stochastic Landau–Lifshitz equation
We propose new semi-implicit numerical methods for the integration of the stochastic Landau-Lifshitz equation with built-in angular momentum conservation. The performance of the proposed integrators is tested on the 1D Heisenberg chain. For this system, our schemes show better stability properties a...
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| Veröffentlicht in: | Journal of physics. Condensed matter 2010-05, Vol.22 (17), p.176001-176001 |
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| container_end_page | 176001 |
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| container_issue | 17 |
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| container_title | Journal of physics. Condensed matter |
| container_volume | 22 |
| creator | Mentink, J H Tretyakov, M V Fasolino, A Katsnelson, M I Rasing, Th |
| description | We propose new semi-implicit numerical methods for the integration of the stochastic Landau-Lifshitz equation with built-in angular momentum conservation. The performance of the proposed integrators is tested on the 1D Heisenberg chain. For this system, our schemes show better stability properties and allow us to use considerably larger time steps than standard explicit methods. At the same time, these semi-implicit schemes are also of comparable accuracy to and computationally much cheaper than the standard midpoint implicit method. The results are of key importance for atomistic spin dynamics simulations and the study of spin dynamics beyond the macro spin approximation. |
| doi_str_mv | 10.1088/0953-8984/22/17/176001 |
| format | Article |
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| language | eng |
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| source | Institute of Physics Journals |
| subjects | Condensed matter: electronic structure, electrical, magnetic, and optical properties Exact sciences and technology General theory and models of magnetic ordering Magnetic properties and materials Physics |
| title | Stable and fast semi-implicit integration of the stochastic Landau–Lifshitz equation |
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