Local quasi-equilibrium description of slow relaxation systems

Physics – Condensed Matter – Statistical Mechanics

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11 pages. It will be published in the Journal of Chemical Physics

Scientific paper

10.1063/1.1640346

We present a dynamical description of slow relaxation processes based on the extension of Onsager's fluctuation theory to systems in local quasi-equilibrium. A non-Markovian Fokker-Planck equation for the conditional probability density is derived and from it we obtain the relaxation equation for the moments. We show that the fluctuation-dissipation theorem can be formulated in terms of the temperature of the system at local quasi-equilibrium. Our theory may be applied to a wide variety of systems undergoing slow relaxation. We discuss in particular slow dynamics in glassy systems and Brownian motion in a granular gas.

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