Pulse-noise approach for classical spin systems

Garanin, D. A.

doi:10.1103/PhysRevE.95.013306

Title: Pulse-noise approach for classical spin systems

Journal Article · Tue Jan 17 00:00:00 EST 2017 · Physical Review E

DOI:https://doi.org/10.1103/PhysRevE.95.013306· OSTI ID:1593717

Garanin, D. A. ^[1]

City Univ. of New York (CUNY), NY (United States)

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

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Research Organization:: City Univ. of New York (CUNY), NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: FG02-93ER45487

OSTI ID:: 1593717

Alternate ID(s):: OSTI ID: 1339779

Journal Information:: Physical Review E, Vol. 95, Issue 1; ISSN 2470-0045

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 8 works

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Cited By (4)

Thermal collapse of a skyrmion Derras-Chouk, Amel; Chudnovsky, Eugene M.; Garanin, Dmitry A. Journal of Applied Physics, Vol. 126, Issue 8 https://doi.org/10.1063/1.5109728	journal	August 2019
Uniform and non-uniform thermal switching of magnetic particles Garanin, D. A. arXiv https://doi.org/10.48550/arxiv.1803.03988	text	January 2018
Effective anisotropy due to the surface of magnetic nanoparticles Garanin, D. A. arXiv https://doi.org/10.48550/arxiv.1803.10406	text	January 2018
Thermal Collapse of a Skyrmion Derras-Chouk, Amel; Chudnovsky, Eugene M.; Garanin, Dmitry A. arXiv https://doi.org/10.48550/arxiv.1906.09132	text	January 2019

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