Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/103380
Title: Effects of interactions on magnetization relaxation dynamics in ferrofluids
Authors: Ivanov, A. O.
Camp, P. J.
Issue Date: 2020
Publisher: American Physical Society
Citation: Ivanov A. O. Effects of interactions on magnetization relaxation dynamics in ferrofluids / A. O. Ivanov, P. J. Camp. — DOI 10.1103/PhysRevE.102.032610 // Physical Review E. — 2020. — Vol. 102. — Iss. 3. — 032610.
Abstract: The dynamics of magnetization relaxation in ferrofluids are studied with statistical-mechanical theory and Brownian dynamics simulations. The particle dipole moments are initially perfectly aligned, and the magnetization is equal to its saturation value. The magnetization is then allowed to decay under zero-field conditions toward its equilibrium value of zero. The time dependence is predicted by solving the Fokker-Planck equation for the one-particle orientational distribution function. Interactions between particles are included by introducing an effective magnetic field acting on a given particle and arising from all of the other particles. Two different approximations are proposed and tested against simulations: a first-order modified mean-field theory and a modified Weiss model. The theory predicts that the short-time decay is characterized by the Brownian rotation time τB, independent of the interaction strength. At times much longer than τB, the asymptotic decay time is predicted to grow with increasing interaction strength. These predictions are borne out by the simulations. The modified Weiss model gives the best agreement with simulation, and its range of validity is limited to moderate, but realistic, values of the dipolar coupling constant. © 2020 American Physical Society.
Keywords: DISTRIBUTION FUNCTIONS
DYNAMICS
FOKKER PLANCK EQUATION
MAGNETIC FLUIDS
MEAN FIELD THEORY
BROWNIAN DYNAMICS SIMULATIONS
EQUILIBRIUM VALUE
INTERACTION STRENGTH
MAGNETIZATION RELAXATION
MODIFIED MEAN FIELDS
ORIENTATIONAL DISTRIBUTION FUNCTIONS
SATURATION VALUES
STATISTICAL MECHANICAL THEORY
SATURATION MAGNETIZATION
ARTICLE
DIPOLE
FIELD STUDY
LEISURE
MAGNETIC FIELD
PREDICTION
ROTATION
SIMULATION
THEORETICAL STUDY
VALIDITY
URI: http://hdl.handle.net/10995/103380
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85093910878
PURE ID: 14152409
0f5902ee-8ee7-466d-992e-e6dea4a89e9e
ISSN: 24700045
DOI: 10.1103/PhysRevE.102.032610
metadata.dc.description.sponsorship: A.O.I. gratefully acknowledges research funding from the Ministry of Science and Higher Education of the Russian Federation (Contract No. 02.A03.21.006, Ural Mathematical Center Project No. 075-02-2020-1537/1).
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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