Nonequilibrium dynamic exponent and spin-glass transitions

Simple item page
dc.creatorNakamura, Tota
dc.date2006-03-03
dc.date2006-05-23
dc.date.accessioned2026-07-07T07:02:05Z
dc.date.available2026-07-07T07:02:05Z
dc.descriptionNonequilibrium dynamics of the $\pm J$ Ising, the {\it XY}, and the Heisenberg spin-glass models are investigated in three dimensions. A nonequilibrium dynamic exponent is calculated from the dynamic correlation length. The spin-glass dynamic exponent continuously depends on the temperature. There is no anomaly at the critical temperature as is recently reported by Katzgraber and Campbell. On the other hand, the chiral-glass dynamic exponent takes a constant value above the spin-glass transition temperature ($T_\mathrm{sg}$), and becomes temperature-dependent below $T_\mathrm{sg}$.The finite-time scaling analyses on the spin- and the chiral-glass susceptibility are performed using the temperature dependence of the dynamic exponent. A difference of the spin- and the chiral-glass transition temperatures is resolved in the Heisenberg model. The dynamic critical exponent takes almost the same value for all transitions. It suggests that the spin-glass and the chiral-glass transitions in three dimensions are dynamically universal.
dc.description16 pages, 16 figures. Revised
dc.identifierhttps://arxiv.org/abs/cond-mat/0603062
dc.identifierhttp://arxiv.org/abs/cond-mat/0603062
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108482
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.titleNonequilibrium dynamic exponent and spin-glass transitions
dc.typetext

Files

Collections

arXiv