On a simple derivation of the very low damping escape rate for classical spins by modifying the method of Kramers

D.J. Byrne, W.T. Coffey, Yu.P. Kalmykov and S.V. Titov

Physica A: Statistical Mechanics and its Applications, 2019, vol. 527, issue C

Abstract: The original perturbative Kramers’ method (starting from the phase space coordinates) (Kramers, 1940) of determining the energy-controlled-diffusion equation for Newtonian particles with separable and additive Hamiltonians is generalized to yield the energy-controlled diffusion equation and thus the very low damping (VLD) escape rate including spin-transfer torque for classical giant magnetic spins with two degrees of freedom. These have dynamics governed by the magnetic Langevin and Fokker–Planck equations and thus are generally based on non-separable and non-additive Hamiltonians. The derivation of the VLD escape rate directly from the (magnetic) Fokker–Planck equation for the surface distribution of magnetization orientations in the configuration space of the polar and azimuthal angles (ϑ,φ) is much simpler than those previously used.

Keywords: Magnetization reversal mechanisms; Fokker–Planck equation statistical physics; Spintronics (search for similar items in EconPapers)
Date: 2019
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437119307198
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:527:y:2019:i:c:s0378437119307198

DOI: 10.1016/j.physa.2019.121195

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().