Magnetization direction in the Heisenberg model exhibiting fractional Brownian motion

Research output: Contribution to journalJournal articleResearchpeer-review

Standard

Magnetization direction in the Heisenberg model exhibiting fractional Brownian motion. / Zhang, Zhengping; Mouritsen, Ole G.; Zuckermann, Martin J.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 48, No. 4, 1993, p. R2327-R2330.

Research output: Contribution to journalJournal articleResearchpeer-review

Harvard

Zhang, Z, Mouritsen, OG & Zuckermann, MJ 1993, 'Magnetization direction in the Heisenberg model exhibiting fractional Brownian motion', Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 48, no. 4, pp. R2327-R2330. https://doi.org/10.1103/PhysRevE.48.R2327

APA

Zhang, Z., Mouritsen, O. G., & Zuckermann, M. J. (1993). Magnetization direction in the Heisenberg model exhibiting fractional Brownian motion. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 48(4), R2327-R2330. https://doi.org/10.1103/PhysRevE.48.R2327

Vancouver

Zhang Z, Mouritsen OG, Zuckermann MJ. Magnetization direction in the Heisenberg model exhibiting fractional Brownian motion. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 1993;48(4):R2327-R2330. https://doi.org/10.1103/PhysRevE.48.R2327

Author

Zhang, Zhengping ; Mouritsen, Ole G. ; Zuckermann, Martin J. / Magnetization direction in the Heisenberg model exhibiting fractional Brownian motion. In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 1993 ; Vol. 48, No. 4. pp. R2327-R2330.

Bibtex

@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",

}

RIS

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 -

ID: 236890141