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Magnetization direction in the Heisenberg model exhibiting fractional Brownian motion

Zhengping Zhang, Ole G. Mouritsen, and Martin J. Zuckermann
Phys. Rev. E 48, R2327(R) – Published 1 October 1993
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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≃1 has been found to apply in the ferromagnetic phase characterizing fractional Brownian motion, whereas a value H≃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.

  • Received 29 June 1993

DOI:https://doi.org/10.1103/PhysRevE.48.R2327

©1993 American Physical Society

Authors & Affiliations

Zhengping Zhang

  • Centre for the Physics of Materials, Department of Physics, McGill University, Rutherford Building, 3600 University Street, Montréal, Québec, Canada H3A 2T8

Ole G. Mouritsen

  • Canadian Institute of Advanced Research
  • Department of Physical Chemistry, The Technical University of Denmark, Building 206, DK-2800 Lyngby, Denmark

Martin J. Zuckermann

  • Centre for the Physics of Materials, Department of Physics, McGill University, Rutherford Building, 3600 University Street, Montréal, Québec, Canada H3A 2T8

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Vol. 48, Iss. 4 — October 1993

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