42 research outputs found
Aging Relation for Ising Spin Glasses
We derive a rigorous dynamical relation on aging phenomena -- the aging
relation -- for Ising spin glasses using the method of gauge transformation.
The waiting-time dependence of the auto-correlation function in the
zero-field-cooling process is equivalent with that in the field-quenching
process. There is no aging on the Nishimori line; this reveals arguments for
dynamical properties of the Griffiths phase and the mixed phase. The present
method can be applied to other gauge-symmetric models such as the XY gauge
glass.Comment: 9 pages, RevTeX, 2 postscript figure
Dynamical Gauge Theory for the XY Gauge Glass Model
Dynamical systems of the gauge glass are investigated by the method of the
gauge transformation.Both stochastic and deterministic dynamics are treated.
Several exact relations are derived among dynamical quantities such as
equilibrium and nonequilibrium auto-correlation functions, relaxation functions
of order parameter and internal energy. They provide physical properties in
terms of dynamics in the SG phase, a possible mixed phase and the Griffiths
phase, the multicritical dynamics and the aging phenomenon. We also have a
plausible argument for the absence of re-entrant transition in two or higher
dimensions.Comment: 3 figure
Exact Dynamical Relations of Ising Spin Glasses
We investigate dynamical systems of gauge symmetric Ising spin glasses using the method of the gauge transformation. Several exact relations are derived among dynamical quantities such as the equilibrium auto-correlation function and the non-equilibrium remanent magnetization. The same result as in the static case is obtained in terms of the equivalence of the ferromagnetic and the spin glass order if the temperature and the randomness satisfy a special condition (Nishimori line). An exact equivalence of non-equilibrium relaxations in the spin glass phase is derived between the remanent magnetization evolved from the strong field limit and the auto-correlation function from a supercooled state. We also have a plausible argument for the absence of re-entrant transition