Magnetization direction in the Heisenberg model exhibiting fractional Brownian motion

Zhengping Zhang; Ole G. Mouritsen; Martin J. Zuckermann

doi:10.1103/PhysRevE.48.R2327

Magnetization direction in the Heisenberg model exhibiting fractional Brownian motion

Zhengping Zhang, Ole G. Mouritsen, Martin J. Zuckermann

Research output: Contribution to journal › Journal article › Research › peer-review

3 Citations (Scopus)

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 H1 has been found to apply in the ferromagnetic phase characterizing fractional Brownian motion, whereas a value H0.5, 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.

Original language	English
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	48
Issue number	4
Pages (from-to)	R2327-R2330
ISSN	2470-0045
DOIs	https://doi.org/10.1103/PhysRevE.48.R2327
Publication status	Published - 1993
Externally published	Yes

Access to Document

10.1103/PhysRevE.48.R2327

Cite this

@article{1d1350c263124909b9e0b96f4ce6aaba,

title = "Magnetization direction in the Heisenberg model exhibiting fractional Brownian motion",

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 H1 has been found to apply in the ferromagnetic phase characterizing fractional Brownian motion, whereas a value H0.5, 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.",

author = "Zhengping Zhang and Mouritsen, {Ole G.} and Zuckermann, {Martin J.}",

year = "1993",

doi = "10.1103/PhysRevE.48.R2327",

language = "English",

volume = "48",

pages = "R2327--R2330",

journal = "Physical Review E",

issn = "2470-0045",

publisher = "American Physical Society",

number = "4",

}

TY - JOUR

T1 - Magnetization direction in the Heisenberg model exhibiting fractional Brownian motion

AU - Zhang, Zhengping

AU - Mouritsen, Ole G.

AU - Zuckermann, Martin J.

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 H1 has been found to apply in the ferromagnetic phase characterizing fractional Brownian motion, whereas a value H0.5, 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 H1 has been found to apply in the ferromagnetic phase characterizing fractional Brownian motion, whereas a value H0.5, 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

AN - SCOPUS:25944437463

VL - 48

SP - R2327-R2330

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 4

ER -