Light-induced self-assembly of active rectification devices

Self-propelled particles that swim in response to light can self-assemble microfluidic rectification devices under nonuniform illumination. Self-propelled colloidal objects, such as motile bacteria or synthetic microswimmers, have microscopically irreversible individual dynamics—a feature they share with all living systems. The incoherent behavior of individual swimmers can be harnessed (or “rectified”) by microfluidic devices that create systematic motions that are impossible in equilibrium. We present a computational proof-of-concept study showing that such active rectification devices could be created directly from an unstructured “primordial soup” of light-controlled motile particles, solely by using spatially modulated illumination to control their local propulsion speed. Alongside both microscopic irreversibility and speed modulation, our mechanism requires spatial symmetry breaking, such as a chevron light pattern, and strong interactions between particles, such as volume exclusion, which cause a collisional slowdown at high density. Together, we show how these four factors create a novel, many-body rectification mechanism. Our work suggests that standard spatial light modulator technology might allow the programmable, light-induced self-assembly of active rectification devices from an unstructured particle bath.

[1]  R Di Leonardo,et al.  Directed transport of active particles over asymmetric energy barriers. , 2014, Soft matter.

[2]  Ramin Golestanian,et al.  Self-motile colloidal particles: from directed propulsion to random walk. , 2007, Physical review letters.

[3]  D. Grier A revolution in optical manipulation , 2003, Nature.

[4]  Z. Nussinov,et al.  Rectification of swimming bacteria and self-driven particle systems by arrays of asymmetric barriers. , 2007, Physical review letters.

[5]  Steve Plimpton,et al.  Fast parallel algorithms for short-range molecular dynamics , 1993 .

[6]  Carlos Bustamante,et al.  Light-powering Escherichia coli with proteorhodopsin , 2007, Proceedings of the National Academy of Sciences.

[7]  Shin‐Hyun Kim,et al.  Light-activated self-propelled colloids , 2014, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[8]  Ralf Eichhorn,et al.  Circular motion of asymmetric self-propelling particles. , 2013, Physical review letters.

[9]  Jean-Baptiste Caussin,et al.  Emergence of macroscopic directed motion in populations of motile colloids , 2013, Nature.

[10]  Pavel Zemánek,et al.  Light at work: The use of optical forces for particle manipulation, sorting, and analysis , 2008, Electrophoresis.

[11]  J. Toner,et al.  Flocks, herds, and schools: A quantitative theory of flocking , 1998, cond-mat/9804180.

[12]  Tu,et al.  Long-Range Order in a Two-Dimensional Dynamical XY Model: How Birds Fly Together. , 1995, Physical review letters.

[13]  M. Cates,et al.  Scalar φ4 field theory for active-particle phase separation , 2013, Nature Communications.

[14]  M. Cates,et al.  Phase behaviour of active Brownian particles: the role of dimensionality. , 2013, Soft matter.

[15]  C. Dellago,et al.  Entropy and kinetics of point defects in two-dimensional dipolar crystals. , 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  Wilson Poon,et al.  Ionic effects in self-propelled Pt-coated Janus swimmers. , 2013, Soft matter.

[17]  F. Jülicher,et al.  Modeling molecular motors , 1997 .

[18]  R. Di Leonardo,et al.  Self-starting micromotors in a bacterial bath. , 2008, Physical review letters.

[19]  M. Schnitzer,et al.  Theory of continuum random walks and application to chemotaxis. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[20]  J. Tailleur,et al.  When are active Brownian particles and run-and-tumble particles equivalent? Consequences for motility-induced phase separation , 2012, 1206.1805.

[21]  S. Ramaswamy,et al.  Hydrodynamics of soft active matter , 2013 .

[22]  Robert Austin,et al.  A Wall of Funnels Concentrates Swimming Bacteria , 2007, Journal of bacteriology.

[23]  Thomas Speck,et al.  Dynamical clustering and phase separation in suspensions of self-propelled colloidal particles. , 2013, Physical review letters.

[24]  Adriano Tiribocchi,et al.  Continuum theory of phase separation kinetics for active Brownian particles. , 2013, Physical review letters.

[25]  Miss A.O. Penney (b) , 1974, The New Yale Book of Quotations.

[26]  M E Cates,et al.  Statistical mechanics of interacting run-and-tumble bacteria. , 2008, Physical review letters.

[27]  M. Cates,et al.  Sedimentation, trapping, and rectification of dilute bacteria , 2009, 0903.3247.

[28]  J. Tailleur,et al.  Pattern formation in self-propelled particles with density-dependent motility. , 2012, Physical review letters.

[29]  M. Kardar,et al.  Pressure is not a state function for generic active fluids , 2014, Nature Physics.

[30]  M E Cates,et al.  Diffusive transport without detailed balance in motile bacteria: does microbiology need statistical physics? , 2012, Reports on progress in physics. Physical Society.

[31]  R. Di Leonardo,et al.  Targeted delivery of colloids by swimming bacteria , 2013, Nature Communications.

[32]  R Di Leonardo,et al.  Bacterial ratchet motors , 2009, Proceedings of the National Academy of Sciences.

[33]  Michael E. Cates,et al.  Motility-Induced Phase Separation , 2014, 1406.3533.

[34]  R. Blakemore,et al.  Magnetotactic bacteria , 1975, Science.

[35]  Vicsek,et al.  Novel type of phase transition in a system of self-driven particles. , 1995, Physical review letters.

[36]  David J. Pine,et al.  Living Crystals of Light-Activated Colloidal Surfers , 2013, Science.

[37]  Gabriel Popkin,et al.  The physics of life , 2016, Nature.