Dynamical scaling, domain-growth kinetics, and domain-wall shapes of quenched two-dimensional anisotropic XY models

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Dynamical scaling, domain-growth kinetics, and domain-wall shapes of quenched two-dimensional anisotropic XY models. / Mouritsen, Ole G.; Praestgaard, Eigil.

In: Physical Review B (Condensed Matter and Materials Physics), Vol. 38, No. 4, 1988, p. 2703-2714.

Research output: Contribution to journalJournal articleResearchpeer-review

Harvard

Mouritsen, OG & Praestgaard, E 1988, 'Dynamical scaling, domain-growth kinetics, and domain-wall shapes of quenched two-dimensional anisotropic XY models', Physical Review B (Condensed Matter and Materials Physics), vol. 38, no. 4, pp. 2703-2714. https://doi.org/10.1103/PhysRevB.38.2703

APA

Mouritsen, O. G., & Praestgaard, E. (1988). Dynamical scaling, domain-growth kinetics, and domain-wall shapes of quenched two-dimensional anisotropic XY models. Physical Review B (Condensed Matter and Materials Physics), 38(4), 2703-2714. https://doi.org/10.1103/PhysRevB.38.2703

Vancouver

Mouritsen OG, Praestgaard E. Dynamical scaling, domain-growth kinetics, and domain-wall shapes of quenched two-dimensional anisotropic XY models. Physical Review B (Condensed Matter and Materials Physics). 1988;38(4):2703-2714. https://doi.org/10.1103/PhysRevB.38.2703

Author

Mouritsen, Ole G. ; Praestgaard, Eigil. / Dynamical scaling, domain-growth kinetics, and domain-wall shapes of quenched two-dimensional anisotropic XY models. In: Physical Review B (Condensed Matter and Materials Physics). 1988 ; Vol. 38, No. 4. pp. 2703-2714.

Bibtex

@article{b79b627873094579b6f402ff973db84a,
title = "Dynamical scaling, domain-growth kinetics, and domain-wall shapes of quenched two-dimensional anisotropic XY models",
abstract = "The domain-growth kinetics in two different anisotropic two-dimensional XY-spin models is studied by computer simulation. The models have uniaxial and cubic anisotropy which leads to ground-state orderings which are twofold and fourfold degenerate, respectively. The models are quenched from infinite to zero temperature as well as to nonzero temperatures below the ordering transition. The continuous nature of the spin variables causes the domain walls to be soft and characterized by a finite thickness. The steady-state thickness of the walls can be varied by a model parameter, P. At zero temperature, the domain-growth kinetics is found to be independent of the value of this parameter over several decades of its range. This suggests that a universal principle is operative. The domain-wall shape is analyzed and shown to be well represented by a hyperbolic tangent function. The growth process obeys dynamical scaling and the shape of the dynamical scaling function pertaining to the structure factor is found to depend on P. Specifically, this function is described by a Porod-law behavior, q-, where increases with the wall softness. The kinetic exponent, which describes how the linear domain size varies with time, R(t)tn, is for both models at zero temperature determined to be n0.25, independent of P. At finite temperatures, the growth kinetics is found to cross over to the Lifshitz-Allen-Cahn law characterized by n0.50. The results support the idea of two separate zero-temperature universality classes for soft-wall and hard-wall kinetics, and furthermore suggest that these classes become identical at finite temperatures.",
author = "Mouritsen, {Ole G.} and Eigil Praestgaard",
year = "1988",
doi = "10.1103/PhysRevB.38.2703",
language = "English",
volume = "38",
pages = "2703--2714",
journal = "Physical Review B (Condensed Matter and Materials Physics)",
issn = "2469-9950",
publisher = "American Physical Society",
number = "4",

}

RIS

TY - JOUR

T1 - Dynamical scaling, domain-growth kinetics, and domain-wall shapes of quenched two-dimensional anisotropic XY models

AU - Mouritsen, Ole G.

AU - Praestgaard, Eigil

PY - 1988

Y1 - 1988

N2 - The domain-growth kinetics in two different anisotropic two-dimensional XY-spin models is studied by computer simulation. The models have uniaxial and cubic anisotropy which leads to ground-state orderings which are twofold and fourfold degenerate, respectively. The models are quenched from infinite to zero temperature as well as to nonzero temperatures below the ordering transition. The continuous nature of the spin variables causes the domain walls to be soft and characterized by a finite thickness. The steady-state thickness of the walls can be varied by a model parameter, P. At zero temperature, the domain-growth kinetics is found to be independent of the value of this parameter over several decades of its range. This suggests that a universal principle is operative. The domain-wall shape is analyzed and shown to be well represented by a hyperbolic tangent function. The growth process obeys dynamical scaling and the shape of the dynamical scaling function pertaining to the structure factor is found to depend on P. Specifically, this function is described by a Porod-law behavior, q-, where increases with the wall softness. The kinetic exponent, which describes how the linear domain size varies with time, R(t)tn, is for both models at zero temperature determined to be n0.25, independent of P. At finite temperatures, the growth kinetics is found to cross over to the Lifshitz-Allen-Cahn law characterized by n0.50. The results support the idea of two separate zero-temperature universality classes for soft-wall and hard-wall kinetics, and furthermore suggest that these classes become identical at finite temperatures.

AB - The domain-growth kinetics in two different anisotropic two-dimensional XY-spin models is studied by computer simulation. The models have uniaxial and cubic anisotropy which leads to ground-state orderings which are twofold and fourfold degenerate, respectively. The models are quenched from infinite to zero temperature as well as to nonzero temperatures below the ordering transition. The continuous nature of the spin variables causes the domain walls to be soft and characterized by a finite thickness. The steady-state thickness of the walls can be varied by a model parameter, P. At zero temperature, the domain-growth kinetics is found to be independent of the value of this parameter over several decades of its range. This suggests that a universal principle is operative. The domain-wall shape is analyzed and shown to be well represented by a hyperbolic tangent function. The growth process obeys dynamical scaling and the shape of the dynamical scaling function pertaining to the structure factor is found to depend on P. Specifically, this function is described by a Porod-law behavior, q-, where increases with the wall softness. The kinetic exponent, which describes how the linear domain size varies with time, R(t)tn, is for both models at zero temperature determined to be n0.25, independent of P. At finite temperatures, the growth kinetics is found to cross over to the Lifshitz-Allen-Cahn law characterized by n0.50. The results support the idea of two separate zero-temperature universality classes for soft-wall and hard-wall kinetics, and furthermore suggest that these classes become identical at finite temperatures.

U2 - 10.1103/PhysRevB.38.2703

DO - 10.1103/PhysRevB.38.2703

M3 - Journal article

AN - SCOPUS:4243587309

VL - 38

SP - 2703

EP - 2714

JO - Physical Review B (Condensed Matter and Materials Physics)

JF - Physical Review B (Condensed Matter and Materials Physics)

SN - 2469-9950

IS - 4

ER -

ID: 238390255