English

Energy balance and energy correction in dynamics of classical spin systems

Computational Physics 2021-11-18 v2 Materials Science

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.

Keywords

Cite

@article{arxiv.2106.14689,
  title  = {Energy balance and energy correction in dynamics of classical spin systems},
  author = {Dmitry A. Garanin},
  journal= {arXiv preprint arXiv:2106.14689},
  year   = {2021}
}

Comments

7 PR pages, 6 figures