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arXiv · 2106.14689

Energy balance and energy correction in dynamics of classical spin systems

Dmitry A. Garanin
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Abstract

Energy-correction method is proposed as an addition to mainstream integrators for equations of motion of systems of classical spins. This solves the problem of non-conservation of energy in long computations and makes mainstream integrators competitive with symplectic integrators for spin systems that for different-site interactions conserve the energy explicitly. The proposed method is promising for spin systems with single-site interactions for which symplectic integrators do not conserve energy and thus have no edge against mainstream integrators. From the energy balance in the spin system with a phenomenological damping and Langevin fields, a formula for the dynamical spin temperature in the presence of single-site anisotropy is obtained.

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Dmitry A. Garanin. 2021-06-25. Energy balance and energy correction in dynamics of classical spin systems. https://doi.org/10.1103/physreve.104.055306

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