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

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dc.creatorMinnhagen, Petter
dc.creatorKim, Beom Jun
dc.creatorWeber, Hans
dc.date2001-05-16
dc.date.accessioned2026-07-07T02:41:27Z
dc.date.available2026-07-07T02:41:27Z
dc.descriptionThe 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 $τ$ by $τ\propto ξ^{z_0}$ and $τ\propto k^{-z}$, where $ξ$ 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.
dc.descriptionto appear in PRL
dc.identifierhttps://arxiv.org/abs/cond-mat/0105323
dc.identifierhttp://arxiv.org/abs/cond-mat/0105323
dc.identifierPhys. Rev. Lett. 87, 037002 (2001)
dc.identifierdoi:10.1103/PhysRevLett.87.037002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/17745
dc.subjectSuperconductivity
dc.titleEvidence of Two Distinct Dynamic Critical Exponents in Connection with Vortex Physics
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