Glassy dynamics as a melting process (On melting dynamics and the glass transition, Part II)

摘要

There are deep analogies between the melting dynamics in systems with a firstorder phase transition and the dynamics from equilibrium in super-cooledliquids. For a class of Ising spin models undergoing a first order transition -namely p-spin models on the so-called Nishimori line - it can be shown that themelting dynamics can be exactly mapped to the equilibrium dynamics. In thismapping the dynamical -or mode-coupling- glass transition corresponds to thespinodal point, while the Kauzmann transition corresponds to the first orderphase transition itself. Both in mean field and finite dimensional models thismapping provides an exact realization of the random first order theory scenariofor the glass transition. The corresponding glassy phenomenology can then beunderstood in the framework of a standard first order phase transition.