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Thermal fluctuations in the Landau-Lifshitz-Bloch model

Journal Article · · Physical Review B
 [1];  [2]
  1. Univ. of California, San Diego, La Jolla, CA (United States); OSTI
  2. Univ. of California, San Diego, La Jolla, CA (United States)
A formulation for thermal noise in the stochastic form of the Landau-Lifshitz-Bloch equation used for modeling the magnetization dynamics at elevated temperatures is presented here. The diffusion coefficients for thermal fluctuations are obtained via the Fokker-Plank equation using the mean-field approximation of the field in defining the free energy. The presented model leads to a mean magnetization consistent with the equilibrium magnetization for small and large particles. The distribution of the magnetization magnitude is of the Maxwell-Boltzmann type. The presented model was tested by studying the equilibrium magnetization in macrospin particles at high temperatures. The model is appealing for multiscale modeling, such as modeling heat assisted magnetic recording systems and all-optical magnetization reversal.
Research Organization:
Energy Frontier Research Centers (EFRC) (United States). Quantum-Materials for Energy Efficient Neuromorphic-Computing (Q-MEEN-C); Univ. of California, San Diego, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
SC0019273
OSTI ID:
1803658
Journal Information:
Physical Review B, Journal Name: Physical Review B Journal Issue: 2 Vol. 102; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (27)

Parameter estimation from magnitude MR images journal January 1999
Brownian dynamics approach to interacting magnetic moments journal October 2003
Data distributions in magnetic resonance images: A review journal November 2014
Magnetization dynamics at elevated temperatures journal August 2012
How additive noise generates a phantom attractor in a model with cubic nonlinearity journal October 2016
Magnetisation switching of FePt nanoparticle recording medium by femtosecond laser pulses journal June 2017
Resolving the role of femtosecond heated electrons in ultrafast spin dynamics journal February 2014
Self-consistent Bloch equation and Landau-Lifshitz-Bloch equation of ferromagnets: A comparison journal April 2013
The fluctuation-dissipation theorem journal January 1966
Thermal or nonthermal? That is the question for ultrafast spin switching in GdFeCo journal August 2013
Atomistic spin model simulations of magnetic nanomaterials journal February 2014
A method for the numerical simulation of the thermal magnetization fluctuations in micromagnetics journal November 1993
Dynamics of single-domain magnetic particles at elevated temperatures journal October 2015
Thermal Fluctuations of a Single-Domain Particle journal June 1963
Accumulative Magnetic Switching of Ultrahigh-Density Recording Media by Circularly Polarized Light journal November 2016
Fokker-Planck and Landau-Lifshitz-Bloch equations for classical ferromagnets journal February 1997
Langevin-dynamics study of the dynamical properties of small magnetic particles journal December 1998
Thermal fluctuations and longitudinal relaxation of single-domain magnetic particles at elevated temperatures journal December 2004
Towards multiscale modeling of magnetic materials: Simulations of FePt journal May 2008
Stochastic form of the Landau-Lifshitz-Bloch equation journal January 2012
Multiscale dynamics of helicity-dependent all-optical magnetization reversal in ferromagnetic Co/Pt multilayers journal December 2017
Helicity-dependent all-optical domain wall motion in ferromagnetic thin films journal February 2018
HAMR Noise Mechanism Study With Spin-Stand Testing journal November 2015
Parametric Comparison of Modeled and Measured Heat-Assisted Magnetic Recording Using a Common Signal-to-Noise Metric journal July 2016
Micromagnetic Study of Media Noise Plateau in Heat-Assisted Magnetic Recording journal February 2019
Studies of HAMR Recording by Hybrid Monte Carlo Micromagnetics journal July 2019
All-optical control of ferromagnetic thin films and nanostructures journal August 2014

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