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Title: Phase separation of self-propelled ballistic particles

Abstract

Self-propelled particles phase-separate into coexisting dense and dilute regions above a critical density. The statistical nature of their stochastic motion lends itself to various theories that predict the onset of phase separation. However, these theories are ill-equipped to describe such behavior when noise becomes negligible. To overcome this limitation, we present a predictive model that relies on two density-dependent timescales: $$τ_F$$, the mean time particles spend between collisions; and $$τ_C$$, the mean lifetime of a collision. We show that only when $$τ_F$$ < $$τ_C$$ do collisions last long enough to develop a growing cluster and initiate phase separation. Finally, using both analytical calculations and active particle simulations, we measure these timescales and determine the critical density for phase separation in both two and three dimensions.

Authors:
 [1];  [1]
  1. Univ. of Michigan, Ann Arbor, MI (United States)
Publication Date:
Research Org.:
Energy Frontier Research Centers (EFRC) (United States). Center for Bio-Inspired Energy Science (CBES)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1470624
Alternate Identifier(s):
OSTI ID: 1433755
Grant/Contract Number:  
SC0000989
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review E
Additional Journal Information:
Journal Volume: 97; Journal Issue: 4; Related Information: CBES partners with Northwestern University (lead); Harvard University; New York University; Pennsylvania State University; University of Michigan; University of Pittsburgh; Journal ID: ISSN 2470-0045
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; catalysis (homogeneous); solar (photovoltaic); bio-inspired; charge transport; mesostructured materials; materials and chemistry by design; synthesis (novel materials); synthesis (self-assembly)

Citation Formats

Bruss, Isaac R., and Glotzer, Sharon C. Phase separation of self-propelled ballistic particles. United States: N. p., 2018. Web. doi:10.1103/PhysRevE.97.042609.
Bruss, Isaac R., & Glotzer, Sharon C. Phase separation of self-propelled ballistic particles. United States. doi:https://doi.org/10.1103/PhysRevE.97.042609
Bruss, Isaac R., and Glotzer, Sharon C. Thu . "Phase separation of self-propelled ballistic particles". United States. doi:https://doi.org/10.1103/PhysRevE.97.042609. https://www.osti.gov/servlets/purl/1470624.
@article{osti_1470624,
title = {Phase separation of self-propelled ballistic particles},
author = {Bruss, Isaac R. and Glotzer, Sharon C.},
abstractNote = {Self-propelled particles phase-separate into coexisting dense and dilute regions above a critical density. The statistical nature of their stochastic motion lends itself to various theories that predict the onset of phase separation. However, these theories are ill-equipped to describe such behavior when noise becomes negligible. To overcome this limitation, we present a predictive model that relies on two density-dependent timescales: $τ_F$, the mean time particles spend between collisions; and $τ_C$, the mean lifetime of a collision. We show that only when $τ_F$ < $τ_C$ do collisions last long enough to develop a growing cluster and initiate phase separation. Finally, using both analytical calculations and active particle simulations, we measure these timescales and determine the critical density for phase separation in both two and three dimensions.},
doi = {10.1103/PhysRevE.97.042609},
journal = {Physical Review E},
number = 4,
volume = 97,
place = {United States},
year = {2018},
month = {4}
}

Journal Article:
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Cited by: 4 works
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Works referenced in this record:

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journal, January 2014

  • Reichhardt, Charles; Olson Reichhardt, Cynthia J.
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Activity-Induced Phase Separation and Self-Assembly in Mixtures of Active and Passive Particles
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journal, October 2011


Entropy Production in Field Theories without Time-Reversal Symmetry: Quantifying the Non-Equilibrium Character of Active Matter
journal, April 2017


Living Crystals of Light-Activated Colloidal Surfers
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Purely hydrodynamic origin for swarming of swimming particles
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Classical Nucleation Theory Description of Active Colloid Assembly
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Magnetic manipulation of self-assembled colloidal asters
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Active Brownian equation of state: metastability and phase coexistence
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How to Capture Active Particles
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Phase behaviour of active Brownian particles: the role of dimensionality
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Reentrant phase behavior in active colloids with attraction
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Motility-Induced Phase Separation
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Athermal Phase Separation of Self-Propelled Particles with No Alignment
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Statistical Mechanics of Interacting Run-and-Tumble Bacteria
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Long-Lived Giant Number Fluctuations in a Swarming Granular Nematic
journal, July 2007


Driving dynamic colloidal assembly using eccentric self-propelled colloids
journal, January 2017


Emergent states in dense systems of active rods: from swarming to turbulence
journal, October 2012


Generalized thermodynamics of phase equilibria in scalar active matter
journal, February 2018


Surface roughness stabilizes the clustering of self-propelled triangles
journal, October 2016

  • Ilse, Sven Erik; Holm, Christian; de Graaf, Joost
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Self-assembly of active attractive spheres
journal, January 2015

  • Prymidis, Vasileios; Sielcken, Harmen; Filion, Laura
  • Soft Matter, Vol. 11, Issue 21
  • DOI: 10.1039/C5SM00127G

When are active Brownian particles and run-and-tumble particles equivalent? Consequences for motility-induced phase separation
journal, January 2013


Hydrodynamic suppression of phase separation in active suspensions
journal, September 2014

  • Matas-Navarro, Ricard; Golestanian, Ramin; Liverpool, Tanniemola B.
  • Physical Review E, Vol. 90, Issue 3
  • DOI: 10.1103/PhysRevE.90.032304

Continuum Theory of Phase Separation Kinetics for Active Brownian Particles
journal, October 2013


Collective Motion of Vibrated Polar Disks
journal, August 2010


Role of Methionine in Bacterial Chemotaxis
journal, January 1974


    Works referencing / citing this record:

    Hydrodynamics Determines Collective Motion and Phase Behavior of Active Colloids in Quasi-Two-Dimensional Confinement
    journal, March 2014


    Controlling active self-assembly through broken particle-shape symmetry
    journal, January 2014


    Motility-Induced Phase Separation
    journal, March 2015


    Driving dynamic colloidal assembly using eccentric self-propelled colloids
    journal, January 2017


    Surface roughness stabilizes the clustering of self-propelled triangles
    journal, October 2016

    • Ilse, Sven Erik; Holm, Christian; de Graaf, Joost
    • The Journal of Chemical Physics, Vol. 145, Issue 13
    • DOI: 10.1063/1.4963804

    Phase separation and coexistence of hydrodynamically interacting microswimmers
    journal, January 2016

    • Blaschke, Johannes; Maurer, Maurice; Menon, Karthik
    • Soft Matter, Vol. 12, Issue 48
    • DOI: 10.1039/c6sm02042a

    How Far from Equilibrium Is Active Matter?
    journal, July 2016


    Purely hydrodynamic origin for swarming of swimming particles
    journal, April 2016


    Living Crystals of Light-Activated Colloidal Surfers
    journal, January 2013


    Active Motion of a Janus Particle by Self-Thermophoresis in a Defocused Laser Beam
    journal, December 2010


    Propagating interfaces in mixtures of active and passive Brownian particles
    journal, December 2016

    • Wysocki, Adam; Winkler, Roland G.; Gompper, Gerhard
    • New Journal of Physics, Vol. 18, Issue 12
    • DOI: 10.1088/1367-2630/aa529d

    Self-assembly of active attractive spheres
    journal, January 2015

    • Prymidis, Vasileios; Sielcken, Harmen; Filion, Laura
    • Soft Matter, Vol. 11, Issue 21
    • DOI: 10.1039/c5sm00127g

    Anomalous Diffusion of Symmetric and Asymmetric Active Colloids
    journal, May 2009


    Magnetic manipulation of self-assembled colloidal asters
    journal, August 2011

    • Snezhko, Alexey; Aranson, Igor S.
    • Nature Materials, Vol. 10, Issue 9
    • DOI: 10.1038/nmat3083

    Entropy Production in Field Theories without Time-Reversal Symmetry: Quantifying the Non-Equilibrium Character of Active Matter
    journal, April 2017


    From scalar to polar active matter: Connecting simulations with mean-field theory
    journal, February 2020


    Absorbing phase transitions and dynamic freezing in running active matter systems
    journal, January 2014

    • Reichhardt, Charles; Olson Reichhardt, Cynthia J.
    • Soft Matter, Vol. 10, Issue 38
    • DOI: 10.1039/c4sm01273a

    Reentrant phase behavior in active colloids with attraction
    journal, July 2013


    Phase behaviour of active Brownian particles: the role of dimensionality
    journal, January 2014

    • Stenhammar, Joakim; Marenduzzo, Davide; Allen, Rosalind J.
    • Soft Matter, Vol. 10, Issue 10
    • DOI: 10.1039/c3sm52813h

    Self-Assembled Magnetic Surface Swimmers
    journal, March 2009


    Role of Repulsive Forces in Determining the Equilibrium Structure of Simple Liquids
    journal, June 1971

    • Weeks, John D.; Chandler, David; Andersen, Hans C.
    • The Journal of Chemical Physics, Vol. 54, Issue 12
    • DOI: 10.1063/1.1674820

    Giant number fluctuation in the collection of active apolar particles: from spheres to long rods
    journal, July 2014


    Structure and Dynamics of a Phase-Separating Active Colloidal Fluid
    journal, January 2013


    Emergent states in dense systems of active rods: from swarming to turbulence
    journal, October 2012


    When are active Brownian particles and run-and-tumble particles equivalent? Consequences for motility-induced phase separation
    journal, January 2013


    Microswimmers in patterned environments
    journal, January 2011

    • Volpe, Giovanni; Buttinoni, Ivo; Vogt, Dominik
    • Soft Matter, Vol. 7, Issue 19
    • DOI: 10.1039/c1sm05960b

    General purpose molecular dynamics simulations fully implemented on graphics processing units
    journal, May 2008

    • Anderson, Joshua A.; Lorenz, Chris D.; Travesset, A.
    • Journal of Computational Physics, Vol. 227, Issue 10
    • DOI: 10.1016/j.jcp.2008.01.047

    How to Capture Active Particles
    journal, June 2012


    Active jamming: Self-propelled soft particles at high density
    journal, October 2011


    Long-Lived Giant Number Fluctuations in a Swarming Granular Nematic
    journal, July 2007


    Tunable emergent structures and traveling waves in mixtures of passive and contact-triggered-active particles
    journal, January 2017

    • Agrawal, Mayank; Bruss, Isaac R.; Glotzer, Sharon C.
    • Soft Matter, Vol. 13, Issue 37
    • DOI: 10.1039/c7sm00888k

    Collective behavior of penetrable self-propelled rods in two dimensions
    journal, December 2013


    Collective oscillation in dense suspension of self-propelled chiral rods
    journal, January 2019


    Curvature-induced microswarming
    journal, January 2017

    • Bruss, Isaac R.; Glotzer, Sharon C.
    • Soft Matter, Vol. 13, Issue 30
    • DOI: 10.1039/c7sm00811b

    Light-activated self-propelled colloids
    journal, November 2014

    • Palacci, J.; Sacanna, S.; Kim, S. -H.
    • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 372, Issue 2029
    • DOI: 10.1098/rsta.2013.0372

    Generalized thermodynamics of phase equilibria in scalar active matter
    journal, February 2018


    Athermal Phase Separation of Self-Propelled Particles with No Alignment
    journal, June 2012


    Active Brownian equation of state: metastability and phase coexistence
    journal, January 2017

    • Levis, Demian; Codina, Joan; Pagonabarraga, Ignacio
    • Soft Matter, Vol. 13, Issue 44
    • DOI: 10.1039/c7sm01504f

    Hydrodynamics of soft active matter
    journal, July 2013


    Freezing and phase separation of self-propelled disks
    journal, January 2014

    • Fily, Yaouen; Henkes, Silke; Marchetti, M. Cristina
    • Soft Matter, Vol. 10, Issue 13
    • DOI: 10.1039/c3sm52469h

    Activity-Induced Phase Separation and Self-Assembly in Mixtures of Active and Passive Particles
    journal, January 2015


    Classical Nucleation Theory Description of Active Colloid Assembly
    journal, September 2016


    Chemical Nanomotors at the Gram Scale Form a Dense Active Optorheological Medium
    journal, January 2019

    • Choudhury, Udit; Singh, Dhruv P.; Qiu, Tian
    • Advanced Materials, Vol. 31, Issue 12
    • DOI: 10.1002/adma.201807382

    The Mechanics and Statistics of Active Matter
    journal, August 2010


    Continuum Theory of Phase Separation Kinetics for Active Brownian Particles
    journal, October 2013


    Failed Escape: Solid Surfaces Prevent Tumbling of Escherichia coli
    journal, August 2014


    Statistical Mechanics of Interacting Run-and-Tumble Bacteria
    journal, May 2008


    Hydrodynamic suppression of phase separation in active suspensions
    journal, September 2014

    • Matas-Navarro, Ricard; Golestanian, Ramin; Liverpool, Tanniemola B.
    • Physical Review E, Vol. 90, Issue 3
    • DOI: 10.1103/physreve.90.032304

    Collective Motion of Vibrated Polar Disks
    journal, August 2010