Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2012-03-10
Physics
Condensed Matter
Disordered Systems and Neural Networks
7 pages, 3 figures
Scientific paper
An important prediction of Mode-Coupling-Theory (MCT) is the relationship between the power- law decay exponents in the {\beta} regime. In the original structural glass context this relationship follows from the MCT equations that are obtained making rather uncontrolled approximations and {\lambda} 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 {\lambda} 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.
Caltagirone Francesco
Ferrari Ulisse
Leuzzi Luca
Parisi Giorgio
Rizzo Tommaso
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