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The aging relation for Ising spin glasses

Yukiyasu Ozeki

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We present a rigorous dynamical relation for aging phenomena - the aging relation - for Ising spin glasses using the method of gauge transformation. The waiting-time dependence of the autocorrelation function in the zero-field-cooling process is equivalent to that in the field-quenching process. There is no aging on the Nishimori line; this provides arguments for dynamical properties of the Griffiths phase and the mixed phase. The present method can be applied to other complex systems with gauge symmetry such as the XY gauge glass.


PACS

75.50.Lk Spin glasses and other random magnets

75.10.Nr Spin-glass and other random models

75.30.Sg Magnetocaloric effect, magnetic cooling

81.40.Cd Solid solution hardening, precipitation hardening, and dispersion hardening; aging

75.40.Gb Dynamic properties (dynamic susceptibility, spin waves, spin diffusion, dynamic scaling, etc.)

75.10.Hk Classical spin models

Subjects

Condensed matter: electrical, magnetic and optical

Condensed matter: structural, mechanical & thermal

Dates

Issue 50 (15 December 1997)

Received 17 September 1997



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