From anunconstrained model with quenched interactions to a constrainedmodel with annealed interactions

Abstract

The frustrated lattice gas model is studied in the quenchedversion where the interactions are quenched random variables,and in the annealed version where the interactions are allowedto evolve in time with a suitable kinetic constraint. Thedynamical nonlinear susceptibility, recently introduced byDonati et al, is evaluated. In the annealed version weobserve a behaviour very similar to the results for the p-spinmodels in mean field, and those for a Lennard-Jones mixture asfound by Donati et al. In the quenched version we observea substantially different behaviour of the dynamicalsusceptibility. The results suggest that the behaviour of thedynamical susceptibility in the annealed model can beinterpreted as the imprint of the thermodynamic transitionpresent in the quenched model and signalled by the divergence ofthe static nonlinear susceptibility. A similar mechanism mightalso be present in glassy systems.