Coherent Hydrodynamic Coupling for Stochastic Swimmers

Abstract

A recently developed theory of stochastic swimming is used to study the notion of coherence in active systems that couple via hydrodynamic interactions. It is shown that correlations between various modes of deformation in stochastic systems play the same role as the relative internal phase in deterministic systems. An example is presented where a simple swimmer can use these correlations to hunt a non-swimmer by forming a hydrodynamic bound state of tunable velocity and equilibrium separation. These results highlight the significance of coherence in the collective behavior of nano-scale stochastic swimmers.

6 pages, 3 figures

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• Fluid dynamics and noise in bacterial cell-cell and cell-surface scattering
• Interaction between catalytic micro motors
• Rheological properties of a dilute suspension of self-propelled particles
• Diffusion and steady state distributions of flexible chemotactic enzymes
• Symplectic and antiplectic waves in an array of beating cilia attached to a closed body
• Fractional Laplacian Spectral Approach to Turbulence in a Dusty Plasma Monolayer
• Generalized Three-Sphere Microswimmers
• Hydrodynamic interaction between two elastic microswimmers
• Long-wavelength instabilities in a system of interacting active particles
• A 2-D suspension of active agents: the role of fluid mediated interactions