1993
DOI: 10.1103/physreve.47.1525
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Coarsening dynamics of theXYmodel

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Cited by 157 publications
(191 citation statements)
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“…Finally, we close with some physical discussion on reasons for the difference between the GP model, and quenches in the purely dissipative Model A [14,15]. The dynamics in the GP model proceeds via the annihilation of nearby vortex-antivortex pairs (in d = 2) as in Model A.…”
mentioning
confidence: 71%
“…Finally, we close with some physical discussion on reasons for the difference between the GP model, and quenches in the purely dissipative Model A [14,15]. The dynamics in the GP model proceeds via the annihilation of nearby vortex-antivortex pairs (in d = 2) as in Model A.…”
mentioning
confidence: 71%
“…Here t R is again the time after which no annihilations take place. The exponent value is considerably higher than the asymptotic value (η d = 1) found in simulations of the XY model with linear damping and local interactions [1,17,35].…”
Section: A Time Evolution Of Energy and Defect Densitiesmentioning
confidence: 55%
“…These exponents show little change (within error bars) when using the Gilbert damping constant α within the range of 144428-8 0.01-0.1 and are found to be robust against adding quenched disorder of moderate strength. When α is increased further, the relaxation exponents approach the asymptotic value for the XY model with local interactions (η d = 1) [1]. This should be due to the large damping practically eliminating the precessional motion of the magnetic moments so that they align with the local effective field almost immediately; thus, the dynamics of the magnetic moments starts to resemble that of the XY model in the no-inertia (overdamped) limit.…”
Section: Discussionmentioning
confidence: 86%
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