Phase separation of self-propelled ballistic particles

Bruss, Isaac R.; Glotzer, Sharon C.

doi:10.1103/PhysRevE.97.042609

Phase separation of self-propelled ballistic particles

Journal Article · Thu Apr 19 00:00:00 EDT 2018 · Physical Review E

DOI:https://doi.org/10.1103/PhysRevE.97.042609· OSTI ID:1470624

Bruss, Isaac R. ^[1]; Glotzer, Sharon C. ^[1]

Univ. of Michigan, Ann Arbor, MI (United States)

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.

View Accepted Manuscript (DOE)

Research Organization:: Energy Frontier Research Centers (EFRC) (United States). Center for Bio-Inspired Energy Science (CBES)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: SC0000989

OSTI ID:: 1470624

Alternate ID(s):: OSTI ID: 1433755

Journal Information:: Physical Review E, Journal Name: Physical Review E Journal Issue: 4 Vol. 97; ISSN PLEEE8; ISSN 2470-0045

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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