Conservation-laws-preserving algorithms for spin dynamics simulations

Details Conservation-laws-preserving algorithms for spin dynamics simulations Conservation-laws-preserving algorithms for spin dynamics simulations

2000-12-07

arxiv.org/abs/cond-mat/0012108v1

Europhysics Letters, vol. 52, No 6, p. 603-609 (2000)

Physics

Condensed Matter

Statistical Mechanics

13 pages, 2 figures

Scientific paper

10.1209/epl/i2000-00480-8

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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