skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Phase separation and large deviations of lattice active matter

Abstract

Off-lattice active Brownian particles form clusters and undergo phase separation even in the absence of attractions or velocity-alignment mechanisms. Arguments that explain this phenomenon appeal only to the ability of particles to move persistently in a direction that fluctuates, but existing lattice models of hard particles that account for this behavior do not exhibit phase separation. Here we present a lattice model of active matter that exhibits motility-induced phase separation in the absence of velocity alignment. Using direct and rare-event sampling of dynamical trajectories, we show that clustering and phase separation are accompanied by pronounced fluctuations of static and dynamic order parameters. In conclusion, this model provides a complement to off-lattice models for the study of motility-induced phase separation.

Authors:
 [1]; ORCiD logo [2];  [2]
  1. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  2. Univ. of California, Berkeley, CA (United States)
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1462977
Alternate Identifier(s):
OSTI ID: 1434178
Grant/Contract Number:  
[AC02-05CH11231]
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
[ Journal Volume: 148; Journal Issue: 15; Related Information: © 2018 Author(s).]; Journal ID: ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY

Citation Formats

Whitelam, Stephen, Klymko, Katherine, and Mandal, Dibyendu. Phase separation and large deviations of lattice active matter. United States: N. p., 2018. Web. doi:10.1063/1.5023403.
Whitelam, Stephen, Klymko, Katherine, & Mandal, Dibyendu. Phase separation and large deviations of lattice active matter. United States. doi:10.1063/1.5023403.
Whitelam, Stephen, Klymko, Katherine, and Mandal, Dibyendu. Fri . "Phase separation and large deviations of lattice active matter". United States. doi:10.1063/1.5023403. https://www.osti.gov/servlets/purl/1462977.
@article{osti_1462977,
title = {Phase separation and large deviations of lattice active matter},
author = {Whitelam, Stephen and Klymko, Katherine and Mandal, Dibyendu},
abstractNote = {Off-lattice active Brownian particles form clusters and undergo phase separation even in the absence of attractions or velocity-alignment mechanisms. Arguments that explain this phenomenon appeal only to the ability of particles to move persistently in a direction that fluctuates, but existing lattice models of hard particles that account for this behavior do not exhibit phase separation. Here we present a lattice model of active matter that exhibits motility-induced phase separation in the absence of velocity alignment. Using direct and rare-event sampling of dynamical trajectories, we show that clustering and phase separation are accompanied by pronounced fluctuations of static and dynamic order parameters. In conclusion, this model provides a complement to off-lattice models for the study of motility-induced phase separation.},
doi = {10.1063/1.5023403},
journal = {Journal of Chemical Physics},
number = [15],
volume = [148],
place = {United States},
year = {2018},
month = {4}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 9 works
Citation information provided by
Web of Science

Figures / Tables:

FIG. 1. FIG. 1.: (a) Rates for the motion of isolated lattice-based active particles (particles may not move to an occupied site), and the color scheme used in pictures: particles that point toward nearest-neighbor particles are shown in red, and those that do not are shown in blue. (b) Time-ordered configurations formore » density $\phi$ = 1/5 and $v_+$ = 25, showing motility-induced phase separation. Lattice size is 2002.« less

Save / Share:

Works referenced in this record:

Effective interactions and large deviations in stochastic processes
journal, June 2015


Hot particles attract in a cold bath
journal, April 2017


Dynamic Order-Disorder in Atomistic Models of Structural Glass Formers
journal, March 2009


An introduction to the hydrodynamics of swimming microorganisms
journal, September 2014

  • Yeomans, J. M.; Pushkin, D. O.; Shum, H.
  • The European Physical Journal Special Topics, Vol. 223, Issue 9
  • DOI: 10.1140/epjst/e2014-02225-8

Statistical mechanics and hydrodynamics of bacterial suspensions
journal, August 2009

  • Baskaran, Aparna; Marchetti, M. Cristina
  • Proceedings of the National Academy of Sciences, Vol. 106, Issue 37
  • DOI: 10.1073/pnas.0906586106

Transport Powered by Bacterial Turbulence
journal, April 2014


The Mechanics and Statistics of Active Matter
journal, August 2010


Sampling rare fluctuations of discrete-time Markov chains
journal, March 2018


Rare behavior of growth processes via umbrella sampling of trajectories
journal, March 2018


Twenty Five Years After KLS: A Celebration of Non-equilibrium Statistical Mechanics
journal, December 2009


Curvature-induced activation of a passive tracer in an active bath
journal, September 2014


Brownian motion of a self-propelled particle
journal, April 2011


Canonical structure of dynamical fluctuations in mesoscopic nonequilibrium steady states
journal, April 2008


The nature of the laning transition in two dimensions
journal, October 2012


Simulating Rare Events in Dynamical Processes
journal, September 2011

  • Giardina, Cristian; Kurchan, Jorge; Lecomte, Vivien
  • Journal of Statistical Physics, Vol. 145, Issue 4
  • DOI: 10.1007/s10955-011-0350-4

Motility-Induced Phase Separation
journal, March 2015


Motility-Induced Phase Separation of Active Particles in the Presence of Velocity Alignment
journal, May 2014

  • Barré, Julien; Chétrite, Raphaël; Muratori, Massimiliano
  • Journal of Statistical Physics, Vol. 158, Issue 3
  • DOI: 10.1007/s10955-014-1008-9

Nonequilibrium steady states of stochastic lattice gas models of fast ionic conductors
journal, February 1984

  • Katz, Sheldon; Lebowitz, Joel L.; Spohn, Herbert
  • Journal of Statistical Physics, Vol. 34, Issue 3-4
  • DOI: 10.1007/bf01018556

Active Brownian particles: From individual to collective stochastic dynamics
journal, March 2012

  • Romanczuk, P.; Bär, M.; Ebeling, W.
  • The European Physical Journal Special Topics, Vol. 202, Issue 1
  • DOI: 10.1140/epjst/e2012-01529-y

Geometrically biased random walks in bacteria-driven micro-shuttles
journal, November 2010


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


Tuned, driven, and active soft matter
journal, February 2015


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


Negative Interfacial Tension in Phase-Separated Active Brownian Particles
journal, August 2015


Phase coexistence far from equilibrium
journal, April 2016


Cluster dynamics and cluster size distributions in systems of self-propelled particles
journal, December 2010

  • Peruani, F.; Schimansky-Geier, L.; Bär, M.
  • The European Physical Journal Special Topics, Vol. 191, Issue 1
  • DOI: 10.1140/epjst/e2010-01349-1

Bacterial ratchet motors
journal, May 2010

  • Di Leonardo, R.; Angelani, L.; Dell'Arciprete, D.
  • Proceedings of the National Academy of Sciences, Vol. 107, Issue 21
  • DOI: 10.1073/pnas.0910426107

Self-Starting Micromotors in a Bacterial Bath
journal, January 2009


Wetting Transitions Displayed by Persistent Active Particles
journal, August 2017


Self-Propelled Janus Particles in a Ratchet: Numerical Simulations
journal, June 2013


Thermodynamic Formalism for Systems with Markov Dynamics
journal, January 2007

  • Lecomte, V.; Appert-Rolland, C.; van Wijland, F.
  • Journal of Statistical Physics, Vol. 127, Issue 1
  • DOI: 10.1007/s10955-006-9254-0

The large deviation approach to statistical mechanics
journal, July 2009


First-order dynamical phase transition in models of glasses: an approach based on ensembles of histories
journal, January 2009

  • Garrahan, Juan P.; Jack, Robert L.; Lecomte, Vivien
  • Journal of Physics A: Mathematical and Theoretical, Vol. 42, Issue 7
  • DOI: 10.1088/1751-8113/42/7/075007

A general method for numerically simulating the stochastic time evolution of coupled chemical reactions
journal, December 1976


    Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.