Volume 133, Number 6, March 2021
|Number of page(s)||7|
|Published online||13 May 2021|
Long-ranged velocity correlations in dense systems of self-propelled particles
Department of Chemistry, Colorado State University - Fort Collins, CO 80523, USA
Received: 29 January 2021
Accepted: 8 March 2021
Model systems of self-propelled particles reproduce many phenomena observed in laboratory active matter systems that defy our thermal equilibrium-based intuition. In particular, in stationary states of self-propelled systems, it is recognized that velocities of different particles exhibit non-trivial equal-time correlations. Such correlations are absent in equivalent equilibrium systems. Recently, researchers found that the range of the velocity correlations increases with increasing persistence time of the self-propulsion and can extend over many particle diameters. Here we review the initial studies of long-ranged velocity correlations in solid-like systems of self-propelled particles. Then, we demonstrate that the long-ranged velocity correlations are also present in dense fluid-like systems. We show that the range of velocity correlations in dense systems of self-propelled particles is determined by the combination of the self-propulsion and the virial bulk modulus that originates from repulsive interparticle interactions.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 82.70.Dd – Colloids / 47.57.-s – Complex fluids and colloidal systems
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