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We investigate the Kovacs (or crossover) effect in facilitated f-spin models of glassy dynamics. Although the Kovacs hump shows a behavior qualitatively similar for all cases we have examined (irrespective of the facilitation parameter f and the spatial dimension d), we find that the dependence of the Kovacs peak time on the temperature of the second quench allows to distinguish among different microscopic mechanisms responsible for the glassy relaxation (e.g. cooperative vs defect diffusion). We also analyze the inherent structure dynamics underlying the Kovacs protocol, and find that the class of facilitated spin models with d>1 and f>1 shows features resembling those obtained recently in a realistic model of fragile glass forming liquid. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2004

Kovacs effect in facilitated spin models of strong and fragile glasses