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Abstract
Selfpropelled colloids constitute an important class of intrinsically nonequilibrium matter. Typically, such a particle moves ballistically at short times, but eventually changes its orientation, and displays randomwalk behavior in the longtime limit. Theory predicts that if the velocity of noninteracting swimmers varies spatially in 1D, $v(x)$, then their density $\rho(x)$ satisfies $\rho(x) = \rho(0)v(0)/v(x)$, where $x = 0$ is an arbitrary reference point. Such a dependence of steadystate $\rho(x)$ on the particle dynamics, which was the qualitative basis of recent work demonstrating how to `paint' with bacteria, is forbidden in thermal equilibrium. We verify this prediction quantitatively by constructing bacteria that swim with an intensitydependent speed when illuminated. A spatial light pattern therefore creates a speed profile, along which we find that, indeed, $\rho(x)v(x) = \mathrm{constant}$, provided that steady state is reached.
Original language  English 

Journal  Nature Communications 
DOIs  
Publication status  Published  24 May 2019 
Keywords
 condmat.soft
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Dive into the research topics of 'Dynamicsdependent density distribution in active suspensions'. Together they form a unique fingerprint.Projects
 2 Finished


Design Principles for New Soft Materials
Cates, M., Allen, R., Clegg, P., Evans, M., MacPhee, C., Marenduzzo, D. & Poon, W.
7/12/11 → 6/06/17
Project: Research
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Dynamicsdependent density distribution in active suspensions
Pilizota, T. (Creator), Poon, W. (Creator), Dawson, A. (Creator), Arlt, J. (Creator) & Martinez, V. A. (Creator), Edinburgh DataShare, 24 May 2019
DOI: 10.7488/ds/2550, https://arxiv.org/abs/1902.10083
Dataset