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