MAGNETIZATION DIRECTION IN THE HEISENBERG-MODEL EXHIBITING FRACTIONALBROWNIAN-MOTION

Authors
ZHANG ZP MOURITSEN OG ZUCKERMANN MJ
Citation
Zp. Zhang et al., MAGNETIZATION DIRECTION IN THE HEISENBERG-MODEL EXHIBITING FRACTIONALBROWNIAN-MOTION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 48(4), 1993, pp. 180002327-180002330
Citations number
6
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
48
Issue
4
Year of publication
1993
Pages
180002327 - 180002330
Database
ISI
SICI code
1063-651X(1993)48:4<180002327:MDITHE>2.0.ZU;2-I
Abstract
The temporal magnetization-direction fluctuations in the three-dimensi onal classical ferromagnetic Heisenberg model have been generated by M onte Carlo simulation and analyzed by the rescaled-range method to yie ld the Hurst exponent H. A value of H congruent-to 1 has been found to apply in the ferromagnetic phase characterizing fractional Brownian m otion, whereas a value H congruent-to 0. 5, reflecting ordinary Browni an motion, applies in the paramagnetic phase. A field-induced crossove r from fractional to ordinary Brownian motion has been observed in the ferromagnetic phase.