232 citations · 3.7k across the 94 of their papers we have counts for
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Quasi-equilibrium in glassy dynamics: a liquid theory approach
Silvio Franz, Giorgio Parisi, Pierfrancesco Urbani
We introduce a quasi-equilibrium formalism in the theory of liquids in order to obtain a set of coarse grained long time dynamical equations for the two point density correlation f…
A note on weakly discontinuous dynamical transitions
Silvio Franz, Giorgio Parisi, Federico Ricci-Tersenghi +2
We analyze Mode Coupling discontinuous transition in the limit of vanishing discontinuity, approaching the so called "" point. In these conditions structural relaxation and fl…
Static replica approach to critical correlations in glassy systems
Silvio Franz, Hugo Jacquin, Giorgio Parisi +2
We discuss the slow relaxation phenomenon in glassy systems by means of replicas by constructing a static field theory approach to the problem. At the mean field level we study how…
Finite-size critical fluctuations in microscopic models of mode-coupling theory
Silvio Franz, Mauro Sellitto
Facilitated spin models on random graphs provide an ideal microscopic realization of the mode-coupling theory of supercooled liquids: they undergo a purely dynamic glass transition…
Quasi-equilibrium in glassy dynamics: an algebraic view
Silvio Franz, Giorgio Parisi
We study a chain of identical glassy systems in a constrained equilibrium where each bond of the chain is forced to remain at a preassigned distance to the previous one. We apply t…
Quantitative field theory of the glass transition
Silvio Franz, Hugo Jacquin, Giorgio Parisi +2
We develop a full microscopic replica field theory of the dynamical transition in glasses. By studying the soft modes that appear at the dynamical temperature we obtain an effectiv…