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Quenched Kosterlitz-Thouless superfluid transitions.

H C Chu1, G A Williams

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

Physical Review Letters
|April 6, 2001
PubMed
Summary
This summary is machine-generated.

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Rapidly quenched Kosterlitz-Thouless (KT) superfluid transitions show power-law vortex density decay. Superfluid density recovers slowly after a quench, with no evidence of new vortex creation, only decay of existing pairs.

Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Superfluidity

Background:

  • Kosterlitz-Thouless (KT) transitions describe phase transitions in 2D systems.
  • Vortex-pair dynamics are crucial for understanding superfluidity.
  • Previous scaling proposals exist for dynamical critical exponents.

Purpose of the Study:

  • Investigate quenched Kosterlitz-Thouless superfluid transitions.
  • Analyze vortex-pair dynamics post-quench.
  • Characterize superfluid density recovery and vortex behavior.

Main Methods:

  • Solved the Fokker-Planck equation for vortex-pair dynamics.
  • Utilized Kosterlitz-Thouless recursion relations.
  • Analyzed power-law decays and superfluid density changes.

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Main Results:

  • Observed power-law decays in vortex density at long times.
  • Found agreement with Minnhagen's scaling proposal for the dynamical critical exponent.
  • Superfluid density is significantly depressed post-quench, recovering logarithmically slowly near T(KT).

Conclusions:

  • Rapid quenches do not create vortices; they only cause decay of existing thermal pairs.
  • The dynamics are consistent with established scaling theories.
  • Superfluid properties are strongly affected by rapid thermal quenches.