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Forrester A, Chu HC, Williams GA. Exact solution for vortex dynamics in temperature quenches of two-dimensional superfluids. Phys Rev Lett. 2013;110(16):165303doi: 10.1103/PhysRevLett.110.165303.
Forrester, A., Chu, H. C., & Williams, G. A. (2013). Exact solution for vortex dynamics in temperature quenches of two-dimensional superfluids. Physical review letters, 110(16), 165303. https://doi.org/10.1103/PhysRevLett.110.165303
Forrester, Andrew, et al. "Exact solution for vortex dynamics in temperature quenches of two-dimensional superfluids." Physical review letters vol. 110,16 (2013): 165303. doi: https://doi.org/10.1103/PhysRevLett.110.165303
Forrester A, Chu HC, Williams GA. Exact solution for vortex dynamics in temperature quenches of two-dimensional superfluids. Phys Rev Lett. 2013 Apr 19;110(16):165303. doi: 10.1103/PhysRevLett.110.165303. Epub 2013 Apr 19. PMID: 23679613.
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Phys Rev Lett. 2013 Apr 19;110(16):165303. doi: 10.1103/PhysRevLett.110.165303. Epub 2013 Apr 19.

Exact solution for vortex dynamics in temperature quenches of two-dimensional superfluids.

Physical review letters

Andrew Forrester, Han-Ching Chu, Gary A Williams

Affiliations

  1. Department of Physics and Astronomy, University of California, Los Angeles, California 90095, USA.

PMID: 23679613 DOI: 10.1103/PhysRevLett.110.165303

Abstract

An exact analytic solution for the dynamics of vortex pairs is obtained for rapid temperature quenches of a superfluid film starting from the line of critical points below the critical temperature T(KT). An approximate solution for quenches at and above above T(KT) provides insights into the origin of logarithmic transients in the vortex decay, and is in general agreement with recent simulations of the quenched XY model. These results confirm that there is no "creation" of vortices whose density increases with the quench rate as predicted by the Kibble-Zurek theory but only monotonic decay of the thermal vortices already present at the initial temperature.

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