Magnetization direction in the Heisenberg model exhibiting fractional Brownian motion

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

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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
Issue number4
Pages (from-to)R2327-R2330
Publication statusPublished - 1993

Bibliographical note

Copyright (1993) by the American Physical Society.


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