Pulse-noise approach for classical spin systems

Abstract

For systems of classical spins interacting with the bath via damping and thermal noise, the approach is suggested to replace the white noise by a pulse noise acting at regular time intervals $\Delta t$, within which the system evolves conservatively. The method is working well in the typical case of a small dimensionless damping constant $\lambda$ and allows a considerable speed-up of computations by using high-order numerical integrators with a large time step $\delta t$ (up to a fraction of the precession period), while keeping $\delta t\ll \Delta t$ to reduce the relative contribution of noise-related operations. In cases when precession can be discarded, $\delta t$ can be increased up to a fraction of the relaxation time $\propto 1/\lambda$ that leads to a further speed-up. This makes equilibration speed comparable with that of Metropolis Monte Carlo. The pulse-noise approach is tested on single-spin and multi-spin models.

8 pages, 7 figure captions, to be published in PRE

References in corpus (8)

• Atomistic spin model simulations of magnetic nanomaterials
• Fokker-Planck and Landau-Lifshitz-Bloch Equations for Classical Ferromagnets
• Dynamic approach for micromagnetics close to the Curie temperature
• Monte Carlo simulation with time step quantification in terms of Langevin dynamics
• Superradiance from crystals of molecular nanomagnets
• Thermally activated escape rates of uniaxial spin systems with transverse field
• Attempt frequency of magnetization in nanomagnets with thin-film geometry
• Unified decoupling scheme for exchange and anisotropy contributions and temperature-dependent spectral properties of anisotropic spin systems

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• Energy balance and energy correction in dynamics of classical spin systems
• Uniform and non-uniform thermal switching of magnetic particles
• Localized Spin-Wave Modes and Microwave Absorption in Random-Anisotropy Ferromagnets
• Skyrmion Crystal in a Microwave Field