Enhanced diffusion and ordering of self-propelled rods

Starting from a minimal physical model of self-propelled hard rods on a substrate in two dimensions, we derive a modified Smoluchowski equation for the system. Self-propulsion enhances longitudinal diffusion and modifies the mean-field excluded volume interaction. From the Smoluchowski equation we o...

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Bibliographic Details
Published inPhysical review letters Vol. 101; no. 26; p. 268101
Main Authors Baskaran, Aparna, Marchetti, M Cristina
Format Journal Article
LanguageEnglish
Published United States 31.12.2008
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Summary:Starting from a minimal physical model of self-propelled hard rods on a substrate in two dimensions, we derive a modified Smoluchowski equation for the system. Self-propulsion enhances longitudinal diffusion and modifies the mean-field excluded volume interaction. From the Smoluchowski equation we obtain hydrodynamic equations for rod concentration, polarization and nematic order parameter. New results at large scales are a lowering of the density of the isotropic-nematic transition and a strong enhancement of boundary effects in confined self-propelled systems.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.101.268101