Finite-dimensional corrections to the mean field in a short-rangep-spin glassy model

Matteo Campellone, Giorgio Parisi, Paola Ranieri
1999 Physical Review B (Condensed Matter)  
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.
doi:10.1103/physrevb.59.1036 fatcat:lggujoruovabjl3cb5zzjox4xa