On the scaling and ageing behaviour of the alternating susceptibility in spin glasses and local scale-invariance

Abstract

The frequency-dependent scaling of the dispersive and dissipative parts of the alternating susceptibility is studied for spin glasses at criticality. An extension of the usual $\omega t$-scaling is proposed. Simulational data from the three-dimensional Ising spin glass agree with this new scaling form and moreover reproduce well the scaling functions explicitly calculated for systems satisfying local scale-invariance. There is also a qualitative agreement with existing experimental data.

arXiv comment19 pages, 2 figures, to appear in special issue of J. Phys. Cond. Matt. dedicated to Lothar Schaefer on the occasion of his 60th birthday, final form with IOP macros

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• Local scale invariance in the parity conserving nonequilibrium kinetic Ising model
• Is local scale invariance a generic property of ageing phenomena ?
• Physical ageing from generalised time-translation-invariance
• The non-equilibrium response of the critical Ising model: Universal scaling properties and Local Scale Invariance
• On the predictive power of Local Scale Invariance