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

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

2001-05-16

arxiv.org/abs/cond-mat/0105323v1

Phys. Rev. Lett. 87, 037002 (2001)

Physics

Condensed Matter

Superconductivity

to appear in PRL

Scientific paper

10.1103/PhysRevLett.87.037002

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.

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