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Published on: October 9, 2014
Stochastic Pairwise Forces Enhance Tracer Diffusion in Nonmotile Active Matter
Henry Alston1,2, Raphaël Voituriez3,4, Thibault Bertrand1
1Imperial College London, Department of Mathematics, South Kensington, London SW7 2AZ, United Kingdom.
Abstract:
Stochasticity is a defining feature of the pairwise forces governing interactions in biological systems-from molecular motors to cell-cell adhesion-yet its consequences on large-scale dynamics remain poorly understood. Here, we show that reciprocal but randomly fluctuating interactions between particles create active suspensions that can enhance the diffusion of an external tracer particle, even in the absence of self-propulsion or nonreciprocity. Starting from a lattice model with pairwise dynamics that minimally break detailed balance, we derive a coarse-grained dynamical theory for spatiotemporal density fluctuations and reveal an elevated effective temperature at short wavelengths. We then compute the self-diffusion coefficient of a tracer particle weakly coupled to our active fluid, demonstrating that purely reciprocal stochastic interactions provide a distinct and generic route to enhanced diffusivity in dense nonequilibrium suspensions.
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