Ordering dynamics of microscopic models with nonconserved order parameter of continuous symmetry

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Ordering dynamics of microscopic models with nonconserved order parameter of continuous symmetry. / Zhang, Z.; Mouritsen, O. G.; Zuckermann, M. J.

In: Physical Review E, Vol. 48, No. 4, 1993, p. 2842-2849.

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

Harvard

Zhang, Z, Mouritsen, OG & Zuckermann, MJ 1993, 'Ordering dynamics of microscopic models with nonconserved order parameter of continuous symmetry', Physical Review E, vol. 48, no. 4, pp. 2842-2849. https://doi.org/10.1103/PhysRevE.48.2842

APA

Zhang, Z., Mouritsen, O. G., & Zuckermann, M. J. (1993). Ordering dynamics of microscopic models with nonconserved order parameter of continuous symmetry. Physical Review E, 48(4), 2842-2849. https://doi.org/10.1103/PhysRevE.48.2842

Vancouver

Zhang Z, Mouritsen OG, Zuckermann MJ. Ordering dynamics of microscopic models with nonconserved order parameter of continuous symmetry. Physical Review E. 1993;48(4):2842-2849. https://doi.org/10.1103/PhysRevE.48.2842

Author

Zhang, Z. ; Mouritsen, O. G. ; Zuckermann, M. J. / Ordering dynamics of microscopic models with nonconserved order parameter of continuous symmetry. In: Physical Review E. 1993 ; Vol. 48, No. 4. pp. 2842-2849.

Bibtex

@article{19f03314875942bd9678ef29ddc608e2,
title = "Ordering dynamics of microscopic models with nonconserved order parameter of continuous symmetry",
abstract = "Numerical Monte Carlo temperature-quenching experiments have been performed on two three-dimensional classical lattice models with continuous ordering symmetry: the Lebwohl-Lasher model [Phys. Rev. A 6, 426 (1972)] and the ferromagnetic isotropic Heisenberg model. Both models describe a transition from a disordered phase to an orientationally ordered phase of continuous symmetry. The Lebwohl-Lasher model accounts for the orientational ordering properties of the nematic-isotropic transition in liquid crystals and the Heisenberg model for the ferromagnetic-paramagnetic transition in magnetic crystals. For both models, which have a nonconserved order parameter, it is found that the linear scale, R(t), of the evolving order, following quenches to below the transition temperature, grows at late times in an effectively algebraic fashion, R(t)∼tn, with exponent values which are strongly temperature dependent and furthermore vary for different measures of the time-dependent length scale. The results are discussed in relation to modern theories of ordering dynamics in systems with continuous order-parameter symmetry.",
author = "Z. Zhang and Mouritsen, {O. G.} and Zuckermann, {M. J.}",
year = "1993",
doi = "10.1103/PhysRevE.48.2842",
language = "English",
volume = "48",
pages = "2842--2849",
journal = "Physical Review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "4",

}

RIS

TY - JOUR

T1 - Ordering dynamics of microscopic models with nonconserved order parameter of continuous symmetry

AU - Zhang, Z.

AU - Mouritsen, O. G.

AU - Zuckermann, M. J.

PY - 1993

Y1 - 1993

N2 - Numerical Monte Carlo temperature-quenching experiments have been performed on two three-dimensional classical lattice models with continuous ordering symmetry: the Lebwohl-Lasher model [Phys. Rev. A 6, 426 (1972)] and the ferromagnetic isotropic Heisenberg model. Both models describe a transition from a disordered phase to an orientationally ordered phase of continuous symmetry. The Lebwohl-Lasher model accounts for the orientational ordering properties of the nematic-isotropic transition in liquid crystals and the Heisenberg model for the ferromagnetic-paramagnetic transition in magnetic crystals. For both models, which have a nonconserved order parameter, it is found that the linear scale, R(t), of the evolving order, following quenches to below the transition temperature, grows at late times in an effectively algebraic fashion, R(t)∼tn, with exponent values which are strongly temperature dependent and furthermore vary for different measures of the time-dependent length scale. The results are discussed in relation to modern theories of ordering dynamics in systems with continuous order-parameter symmetry.

AB - Numerical Monte Carlo temperature-quenching experiments have been performed on two three-dimensional classical lattice models with continuous ordering symmetry: the Lebwohl-Lasher model [Phys. Rev. A 6, 426 (1972)] and the ferromagnetic isotropic Heisenberg model. Both models describe a transition from a disordered phase to an orientationally ordered phase of continuous symmetry. The Lebwohl-Lasher model accounts for the orientational ordering properties of the nematic-isotropic transition in liquid crystals and the Heisenberg model for the ferromagnetic-paramagnetic transition in magnetic crystals. For both models, which have a nonconserved order parameter, it is found that the linear scale, R(t), of the evolving order, following quenches to below the transition temperature, grows at late times in an effectively algebraic fashion, R(t)∼tn, with exponent values which are strongly temperature dependent and furthermore vary for different measures of the time-dependent length scale. The results are discussed in relation to modern theories of ordering dynamics in systems with continuous order-parameter symmetry.

U2 - 10.1103/PhysRevE.48.2842

DO - 10.1103/PhysRevE.48.2842

M3 - Journal article

AN - SCOPUS:0348001265

VL - 48

SP - 2842

EP - 2849

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 4

ER -

ID: 236890344