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

Abstract

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.

9 pages, 2 figures

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Cited by in corpus (6)

• Anomalous diffusion: A basic mechanism for the evolution of inhomogeneous systems
• Non-exponential relaxation for anomalous diffusion
• Anomalous law of cooling
• The Fluctuation-Dissipation Relations: Growth, Diffusion, and Beyond
• Superstatistics of Brownian motion: A comparative study
• Generalized hydrodynamics of a dilute finite-sized particles suspension: Dynamic viscosity