Finite dimensional corrections to mean field in a short-range p-spin glassy model

Details Finite dimensional corrections to mean field in a short-range p-spin glassy model Finite dimensional corrections to mean field in a short-range p-spin glassy model

1998-06-19

arxiv.org/abs/cond-mat/9806235v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

18 pages, 5 figures, submitted to Phys Rev B

Scientific paper

10.1103/PhysRevB.59.1036

In this work we discuss a short range version of the $p$-spin model. The model is provided with a parameter that allows to control the crossover with the mean field behaviour. We detect a discrepancy between the perturbative approach and numerical simulation. We attribute it to non-perturbative effects due to the finite probability that each particular realization of the disorder allows for the formation of regions where the system is less frustrated and locally freezes at a higher temperature.

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