Critical slowing down exponents in quenched disordered spin models for structural glasses: Random Orthogonal and related models

Abstract

An important prediction of Mode-Coupling-Theory (MCT) is the relationship between the power- law decay exponents in the β regime. In the original structural glass context this relationship follows from the MCT equations that are obtained making rather uncontrolled approximations and λ has to be treated like a tunable parameter. It is known that a certain class of mean-field spin-glass models is exactly described by MCT equations. In this context, the physical meaning of the so called parameter exponent λ has recently been unveiled, giving a method to compute it exactly in a static framework. In this paper we exploit this new technique to compute the critical slowing down exponents in a class of mean-field Ising spin-glass models including, as special cases, the Sherrington-Kirkpatrick model, the p-spin model and the Random Orthogonal model.

7 pages, 3 figures

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Cited by in corpus (7)

• Critical Dynamics in Glassy Systems
• Optical computation of a spin glass dynamics with tunable complexity
• Diluted Mean-Field Spin-Glass Models at Criticality
• Super-Cooled Liquids: Equivalence between Mode-Coupling Theory and Replica Approach
• A note on weakly discontinuous dynamical transitions
• Logarithmic critical slowing down in complex systems: from statics to dynamics
• Multiphoton quantum simulation of the generalized Hopfield memory model