Compensation of numerical noise at large time steps using temperature fluctuations in an atomistic spin dynamics

The atomistic model of classical Heisenberg magnetic material is a system of stochastic differential equations of Landau-Lifshitz with a Langevin source. Strong local exchange interaction leads to the appearance of numerical noise, which significantly limits the time step. Numerical noise manifests itself similarly to temperature fluctuations, which makes it possible to try to compensate for the noise by reducing the temperature. The temperature correction is calculated based on the second equation of correlation magnetodynamics. This approach allows increasing the integration step by almost an order of magnitude, while maintaining the error level at an acceptable level.