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arXiv · 1212.0475

Critical Off-Equilibrium Dynamics in Glassy Systems

Francesco Caltagirone·Giorgio Parisi·Tommaso Rizzo
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Abstract

We consider off-equilibrium dynamics at the critical temperature in a class of glassy system. The off-equilibrium correlation and response functions obey a precise scaling form in the aging regime. The structure of the {\it equilibrium} replicated Gibbs free energy fixes the corresponding {\it off-equilibrium} scaling functions implicitly through two functional equations. The details of the model enter these equations only through the ratio $w_2/w_1$ of the cubic coefficients (proper vertexes) of the replicated Gibbs free energy. Therefore the off-equilibrium dynamical exponents are controlled by the very same parameter exponent $λ=w_2/w_1$ that determines equilibrium dynamics. We find approximate solutions to the equations and validate the theory by means of analytical computations and numerical simulations.

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Francesco Caltagirone, Giorgio Parisi, Tommaso Rizzo. 2013-02-15. Critical Off-Equilibrium Dynamics in Glassy Systems. https://doi.org/10.1103/physreve.87.032134

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