Quenched Kosterlitz-Thouless Superfluid Transitions

2000/10/31 by Han-Ching Chu, Gary A. Williams · 2 citations
Physics and Astronomy · #Condensed matter physics #Critical exponent #Exponent #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum vortex #Quantum, superfluid, helium dynamics #Scaling #Superfluid helium-4 #Superfluidity #Theoretical and Computational Physics #Thermodynamics #Vortex #cond-mat.stat-mech #hep-lat #hep-ph

paper · pdf · doi:10.1103/physrevlett.86.2585

4 pages, 5 figures, revtex4, version accepted for PRL

arxiv created 2001/02/06 · openalex publication_date 2001/03/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Rapidly quenched Kosterlitz-Thouless (KT) superfluid transitions are studied by solving the Fokker-Planck equation for the vortex-pair dynamics in conjunction with the KT recursion relations. Power-law decays of the vortex density at long times are found, and the results are in agreement with a scaling proposal made by Minnhagen and co-workers for the dynamical critical exponent. The superfluid density is strongly depressed after a quench, with the subsequent recovery being logarithmically slow for starting temperatures near T(KT). No evidence is found of vortices being "created" in a rapid quench; there is only decay of the existing thermal vortex pairs.

Citations

• Dynamic critical exponent of two-, three-, and four-dimensionalXYmodels with relaxational and resistively shunted junction dynamics
• Vortex String Formation in a 3D U(1) Temperature Quench
• The critical properties of the two-dimensional xy model
• Nonappearance of Vortices in Fast Mechanical Expansions of Liquid4Hethrough the Lambda Transition
• Ordering, metastability and phase transitions in two-dimensional systems

Cited by

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