Memory-based mediated interactions between rigid particulate inclusions in viscoelastic environments

Abstract

Many practically relevant materials combine properties of viscous fluids and elastic solids to viscoelastic behavior. Our focus is on the induced dynamic behavior of damped finite-sized particulate inclusions in such substances. We explicitly describe history-dependent interactions that emerge between the embedded particles. These interactions are mediated by the viscoelastic surroundings. They result from the flows and distortions of the viscoelastic medium when induced by the rigid inclusions. Both, viscoelastic environments of terminal fluid-like flow or of completely reversible damped elastic behavior, are covered. For illustration and to highlight the role of the formalism in potential applications, we briefly address the relevant examples of dragging a rigid sphere through a viscoelastic environment together with subsequent relaxation dynamics, the switching dynamics of magnetic fillers in elastic gel matrices, and the swimming behavior of active microswimmers in viscoelastic solutions. The approach provides a basis for more quantitative and extended investigations of these and related systems in the future.

12 pages, 7 figures

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Cited by in corpus (9)

• Active particles in geometrically confined viscoelastic fluids
• Multi-species dynamical density functional theory for microswimmers: derivation, orientational ordering, trapping potentials, and shear cells
• Displacement field around a rigid sphere in a compressible elastic environment, corresponding higher-order Faxén relations, as well as higher-order displaceability and rotateability matrices
• Mediated interactions between rigid inclusions in two-dimensional elastic or fluid films
• Stimuli-responsive twist actuators made from soft elastic composite materials -- linking mesoscopic and macroscopic descriptions
• Vortex pattern stabilization in thin films resulting from shear thickening of active suspensions
• The role of boundaries for displacements and motion in two-dimensional fluid or elastic films and membranes
• Unified description of viscous, viscoelastic, or elastic thin active films on substrates
• Rheologically tuned modes of collective transport in active viscoelastic films