Evidence of Two Distinct Dynamic Critical Exponents in Connection with Vortex Physics

Abstract

The dynamic critical exponent $z$ is determined from numerical simulations for the three-dimensional (3D) lattice Coulomb gas (LCG) and the 3D XY models with relaxational dynamics. It is suggested that the dynamics is characterized by two distinct dynamic critical indices $z_0$ and $z$ related to the divergence of the relaxation time $\tau$ by $\tau \propto {\xi }^{z_0}$ and $\tau \propto k^{-z}$, where $\xi$ is the correlation length and $k$ the wavevector. The values determined are $z_0\approx 1.5$ and $z\approx 1$ for the 3D LCG and $z_0\approx 1.5$ and $z\approx 2$ for the 3D XY model. It is argued that the nonlinear $IV$ exponent relates to $z_0$, whereas the usual Hohenberg-Halperin classification relates to $z$. Possible implications for the interpretation of experiments are pointed out. Comparisons with other existing results are discussed.

to appear in PRL

References in corpus (7)

• High precision Monte Carlo study of the 3D XY-universality class
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Cited by in corpus (7)

• Quench dynamics of the three-dimensional U(1) complex field theory: geometric and scaling characterisation of the vortex tangle
• The Effect of Columnar Disorder on the Superconducting Transition of a Type-II Superconductor in Zero Applied Magnetic Field
• Universal dynamic scaling in chemical reactions at and away from equilibrium
• Critical behavior of spin and chiral degrees of freedom in three-dimensional disordered XY models studied by the nonequilibrium aging method
• Coulomb Gas and Sine-Gordon Model in Arbitrary Dimension
• Slow relaxation in weakly open vertex-splitting rational polygons
• Fundamental connection between temperature-quenched 2D superfluids and 2D quantum turbulence