TY - JOUR
T1 - Magnetization direction in the Heisenberg model exhibiting fractional Brownian motion
AU - Zhang, Zhengping
AU - Mouritsen, Ole G.
AU - Zuckermann, Martin J.
N1 - Copyright (1993) by the American Physical Society.
PY - 1993
Y1 - 1993
N2 - 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.
AB - 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.
U2 - 10.1103/PhysRevE.48.R2327
DO - 10.1103/PhysRevE.48.R2327
M3 - Journal article
SN - 1063-651X
VL - 48
SP - R2327-R2330
JO - Physical Review E. Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E. Statistical, Nonlinear, and Soft Matter Physics
IS - 4
ER -