Dynamics of fluids in quenched-random potential energy landscapes: a mode-coupling theory approach

Abstract

Motivated by a number of recent experimental and computational studies of the dynamics of fluids plunged in quenched-disordered external fields, we report on a theoretical investigation of this topic within the framework of the mode-coupling theory, based on the simple model of the hard-sphere fluid in a Gaussian random field. The possible dynamical arrest scenarios driven by an increase of the disorder strength and/or of the fluid density are mapped, and the corresponding evolutions of time-dependent quantities typically used for the characterization of anomalous self-diffusion are illustrated with detailed computations. Overall, a fairly reasonable picture of the dynamics of the system at hand is outlined, which in particular involves a non-monotonicity of the self-diffusion coefficient with fluid density at fixed disorder strength, in agreement with experiments. The disorder correlation length is shown to have a strong influence on the latter feature.

Final version; 15 pages, 9 figures

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Cited by in corpus (4)

• Persistent anti-correlations in Brownian dynamics simulations of dense colloidal suspensions revealed by noise suppression
• Crowding of interacting fluid particles in porous media through molecular dynamics: breakdown of universality for soft interactions
• Dynamics of a noninteracting colloidal fluid in a quenched Gaussian random potential: A time-reversal-symmetry-preserving field-theoretic approach
• Improved field theoretical approach to noninteracting Brownian particles in a quenched random potential