Slow dynamics and local quasi-equilibrium. Relaxation in supercooled colloidal systems

Details Slow dynamics and local quasi-equilibrium. Relaxation in supercooled colloidal systems Slow dynamics and local quasi-equilibrium. Relaxation in supercooled colloidal systems

2003-09-29

arxiv.org/abs/cond-mat/0309660v1

Physics

Condensed Matter

9 pages, 2 figures

Scientific paper

We present a Fokker-Planck description of supercooled colloidal systems exhibiting slow relaxation dynamics. By assuming the existence of a local quasi-equilibrium state during the relaxation of the system, we derive a non-Markovian Fokker-Planck equation for the non-stationary conditional probability. A generalized Stokes-Einstein relation containing the temperature of the system instead of the temperature of the bath is obtained. Our results explain experiments showing that the diffusion coefficient is not proportional to the inverse of the effective viscosity at frequencies related to the diffusion time scale.

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