Thermal fluctuations of magnetic nanoparticles
arXiv:1209.0298 · doi:10.1063/1.4754272
Abstract
The reversal time (superparamagnetic relaxation time) of the magnetization of fine single domain ferromagnetic nanoparticles owing to thermal fluctuations plays a fundamental role in information storage, paleomagnetism, biotechnology, etc. Here a comprehensive tutorial-style review of the achievements of fifty years of development and generalizations of the seminal work of Brown [W.F. Brown, Jr., Phys. Rev., 130, 1677 (1963)] on thermal fluctuations of magnetic nanoparticles is presented. Analytical as well as numerical approaches to the estimation of the damping and temperature dependence of the reversal time based on Brown's Fokker-Planck equation for the evolution of the magnetic moment orientations on the surface of the unit sphere are critically discussed while the most promising directions for future research are emphasized.
an updated version with corrections; this version also includes our reply to a comment arXiv:1210.2436 by J.-L. Dejardin et al
References in corpus (7)
- Simple models for dynamic hysteresis loops calculation: Application to hyperthermia optimization
- Thermal fluctuations of magnetic nanoparticles
- Mapping Monte Carlo to Langevin dynamics: A Fokker-Planck approach
- Switching speed distribution of spin-torque-induced magnetic reversal
- Attempt frequency of magnetization in nanomagnets with thin-film geometry
- Thermal and surface anisotropy effects on the magnetization reversal of a nanocluster
- Comment on "Thermal fluctuations of magnetic nanoparticles" [arXiv:1209.0298]
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