Dynamical scaling in Ising and vector spin glasses Academic Article uri icon

abstract

  • We 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 χne(tw,T) and the nonequilibrium energy per spin, ene(tw,T), of samples of large size Lb are measured as a function of anneal time tw after a quench to temperatures T. The two observables are compared to the equilibrium spin-glass susceptibility χeq(L,T) and the equilibrium energy eeq(L,T), 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*(tw,T) can be defined by writing χne(tw,T)=χeq(L*,T) (or the equivalent expression for the energy). Our analysis shows that for all systems studied, an "effective dynamical critical exponent" parametrization L*(tw,T)=A(T)t1/z(T) fits the data well at each temperature within the whole temperature range studied, which extends from well above the critical temperature Tc to near T=0 for dimension 2 or to well below Tc for the other space dimensions studied. In addition, the data suggest that the dynamical exponent z varies smoothly when crossing the transition temperature. © 2005 The American Physical Society.

author list (cited authors)

  • Katzgraber, H. G., & Campbell, I. A.

citation count

  • 31

publication date

  • July 2005