Dynamical scaling in Ising and vector spin glasses

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dc.creatorKatzgraber, Helmut G.
dc.creatorCampbell, I. A.
dc.date2005-04-04
dc.date2005-07-26
dc.date.accessioned2026-07-07T06:27:18Z
dc.date.available2026-07-07T06:27:18Z
dc.descriptionWe have studied numerically the dynamics of spin glasses with Ising and XY symmetry (gauge glass) in space dimensions 2, 3, and 4. The nonequilibrium spin-glass susceptibility and the nonequilibrium energy per spin of samples of large size L_b are measured as a function of anneal time t_w after a quench to temperatures T. The two observables are compared to the equilibrium spin-glass susceptibility and the equilibrium energy, respectively, measured as functions of temperature T and system size L for a range of system sizes. For any time and temperature a nonequilibrium time-dependent length scale L*(t_w,T) can be defined by comparing equilibrium and nonequilibrium quantities. Our analysis shows that for all systems studied, an "effective dynamical critical exponent" parametrization L*(t_w,T) = A(T) t^(1/z(T)) fits the data well at each temperature within the whole temperature range studied, which extends from well above the critical temperature to near T = 0 for dimension 2, or to well below the critical temperature for the other space dimensions studied. In addition, the data suggest that the dynamical critical exponent z varies smoothly when crossing the transition temperature.
dc.description14 pages, 13 figures, 9 tables
dc.identifierhttps://arxiv.org/abs/cond-mat/0504082
dc.identifierhttp://arxiv.org/abs/cond-mat/0504082
dc.identifierPhys. Rev. B, 72, 014462 (2005)
dc.identifierdoi:10.1103/PhysRevB.72.014462
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97380
dc.subjectDisordered Systems and Neural Networks
dc.titleDynamical scaling in Ising and vector spin glasses
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