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Langevin equation for the rotation of a magnetic particle
Author(s) -
Raible Martin,
Engel Andreas
Publication year - 2004
Publication title -
applied organometallic chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.53
H-Index - 71
eISSN - 1099-0739
pISSN - 0268-2605
DOI - 10.1002/aoc.757
Subject(s) - langevin equation , brownian motion , brownian dynamics , fokker–planck equation , covariant transformation , ratchet , langevin dynamics , particle (ecology) , classical mechanics , magnetic field , rotation (mathematics) , diffusion , ferromagnetism , thermal fluctuations , ferrofluid , chemistry , physics , statistical physics , condensed matter physics , mathematical physics , partial differential equation , quantum mechanics , work (physics) , oceanography , geometry , mathematics , geology
We investigate Brownian motion on a curved surface with the help of the covariant Langevin and Fokker–Planck equations. As a special example we address the orientational diffusion of a ferromagnetic particle immersed in a viscous fluid under the influence of a time‐dependent magnetic field. This system may model the recently discovered thermal ratchet behaviour in ferrofluids. Numerical simulations of the Langevin equation are shown to be in good agreement with results from the solution of the Fokker–Planck equation reported previously. Copyright © 2004 John Wiley & Sons, Ltd.