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Conservation-laws-preserving algorithms for spin dynamics simulations

I. P. Omelyan·I. M. Mryglod·R. Folk
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Abstract

We propose new algorithms for numerical integration of the equations of motion for classical spin systems with fixed spatial site positions. The algorithms are derived on the basis of a mid-point scheme in conjunction with the multiple time staging propagation. Contrary to existing predictor-corrector and decomposition approaches, the algorithms introduced preserve all the integrals of motion inherent in the basic equations. As is demonstrated for a lattice ferromagnet model, the present approach appears to be more efficient even over the recently developed decomposition method.

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I. P. Omelyan, I. M. Mryglod, R. Folk. 2000-12-07. Conservation-laws-preserving algorithms for spin dynamics simulations. https://doi.org/10.1209/epl%2Fi2000-00480-8

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