Magnetization direction in the Heisenberg model exhibiting fractional Brownian motion

Zhengping Zhang, Ole G. Mouritsen, Martin J. Zuckermann

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Abstract

The temporal magnetization-direction fluctuations in the three-dimensional classical ferromagnetic Heisenberg model have been generated by Monte Carlo simulation and analyzed by the rescaled-range method to yield the Hurst exponent H. A value of H congruent-to 1 has been found to apply in the ferromagnetic phase characterizing fractional Brownian motion, whereas a value H congruent-to 0. 5, reflecting ordinary Brownian motion, applies in the paramagnetic phase. A field-induced crossover from fractional to ordinary Brownian motion has been observed in the ferromagnetic phase.
Original languageEnglish
JournalPhysical Review E. Statistical, Nonlinear, and Soft Matter Physics
Volume48
Issue number4
Pages (from-to)R2327-R2330
ISSN1063-651X
DOIs
Publication statusPublished - 1993

Bibliographical note

Copyright (1993) by the American Physical Society.

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