Journal article
Magnetization direction in the Heisenberg model exhibiting fractional Brownian motion
In
Physical Review E. Statistical, Nonlinear, and Soft Matter Physics
—
1993, Volume 48, Issue 4, pp. R2327-R2330
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.
| Language: | English |
|---|---|
| Year: | 1993 |
| Pages: | R2327-R2330 |
| ISSN: | 10953787 , 1063651x , 24700053 and 24700045 |
| Types: | Journal article |
| DOI: | 10.1103/PhysRevE.48.R2327 |
