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:
-
- 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. 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. 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 = {Thu Apr 19 00:00:00 EDT 2018},
month = {Thu Apr 19 00:00:00 EDT 2018}
}
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