Dynamic relaxation of topological defect at Kosterlitz-Thouless phase transition

With Monte Carlo methods we study the dynamic relaxation of a vortex state at the Kosterlitz-Thouless phase transition of the two-dimensional XY model. A local pseudo-magnetization is introduced to characterize the symmetric structure of the dynamic systems. The dynamic scaling behavior of the pseud...

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Published inJournal of physics. A, Mathematical and theoretical Vol. 44; no. 34; pp. 345005 - 15
Main Authors QIN, X. P, ZHENG, B, ZHOU, N. J
Format Journal Article
LanguageEnglish
Published Bristol IOP 26.08.2011
Subjects
Defects
Dynamic tests
Dynamical systems
Dynamics
Exact sciences and technology
Fluid flow
Mathematical models
Phase transformations
Physics
Vortices
Universality class
Topological defect
Spin waves
Magnetization
Two dimensional model
Long wave radiation
Relaxation
Monte Carlo methods
Dynamics
Vortices
Kosterlitz-Thouless transition
Spin state
Critical exponents
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Summary:With Monte Carlo methods we study the dynamic relaxation of a vortex state at the Kosterlitz-Thouless phase transition of the two-dimensional XY model. A local pseudo-magnetization is introduced to characterize the symmetric structure of the dynamic systems. The dynamic scaling behavior of the pseudo-magnetization and Binder cumulant is carefully analyzed, and the critical exponents are determined. To illustrate the dynamic effect of the topological defect, similar analysis for the dynamic relaxation with a spin-wave initial state is also performed for comparison. We demonstrate that a limited amount of quenched disorder in the core of the vortex state may alter the dynamic universality class. Furthermore, theoretical calculations based on the long-wave approximation are presented.
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ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8113/44/34/345005