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.

19 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

References in corpus (6)

• Local scale-invariance and ageing in noisy systems
• Two-time autocorrelation function in phase-ordering kinetics from local scale-invariance
• Scaling of the linear response in simple ageing systems without disorder
• Ageing phenomena without detailed balance: the contact process
• Ageing and dynamical scaling in the critical Ising spin glass
• Aging and scaling laws in $\beta$-hydroquinone-clathrate

Cited by in corpus (7)

• Ageing in disordered magnets and local scale-invariance
• Test of Local Scale Invariance from the direct measurement of the response function in the Ising model quenched to and to below $T_C$
• Ageing, dynamical scaling and its extensions in many-particle systems without detailed balance
• 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
• On the predictive power of Local Scale Invariance