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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) (SC-22)
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:10.1103/PhysRevE.97.042609.
Bruss, Isaac R., and Glotzer, Sharon C. Thu . "Phase separation of self-propelled ballistic particles". United States. doi: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}
}

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Cited by: 4 works
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    Works referencing / citing this record:

    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

    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

    Microswimmers in patterned environments
    journal, January 2011

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

    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

    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

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


    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

    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

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


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


    Motility-Induced Phase Separation
    journal, March 2015


    The Mechanics and Statistics of Active Matter
    journal, August 2010


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