Equation of state for active matter

Samuel  Cameron; Majid Mosayebi; Rachel Bennett; Tanniemola B. Liverpool

doi:10.1103/PhysRevE.108.014608

Equation of state for active matter

Samuel Cameron, Majid Mosayebi, Rachel Bennett, Tanniemola B. Liverpool

Research output: Contribution to journal › Article (Academic Journal) › peer-review

6 Citations (Scopus)

Abstract

We characterise the steady states of a suspension of two-dimensional active brownian particles (ABPs). We calculate the steady-state probability distribution to lowest order in Peclet number. We show that macroscopic quantities can be calculated in analogous way to equilibrium systems using this probability distribution. We then derive expressions for the macroscopic pressure and position-orientation correlation functions. We check our results by direct comparison with extensive numerical simulations. A key finding is the importance of many-body effective interactions even at very low densities.

Original language	English
Article number	014608
Journal	Physical Review E
Volume	108
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevE.108.014608
Publication status	Published - 27 Jul 2023

Bibliographical note

Funding Information:
The computational resources of the University of Bristol Advanced Computing Research Centre and the BrisSynBio HPC facility are gratefully acknowledged. T.L. acknowledges support of Leverhulme Trust Research Project Grant No. RPG-2016-147 and Bris- SynBio, a BBSRC/EPSRC Synthetic Biology Research Center (Grant No. BB/L01386X/1).

Publisher Copyright:
© 2023 authors. Published by the American Physical Society.

Research Groups and Themes

Bristol BioDesign Institute

Keywords

cond-mat.stat-mech
synthetic biology
cond-mat.soft

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title = "Equation of state for active matter",

abstract = " We characterise the steady states of a suspension of two-dimensional active brownian particles (ABPs). We calculate the steady-state probability distribution to lowest order in Peclet number. We show that macroscopic quantities can be calculated in analogous way to equilibrium systems using this probability distribution. We then derive expressions for the macroscopic pressure and position-orientation correlation functions. We check our results by direct comparison with extensive numerical simulations. A key finding is the importance of many-body effective interactions even at very low densities. ",

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author = "Samuel Cameron and Majid Mosayebi and Rachel Bennett and Liverpool, \{Tanniemola B.\}",

note = "Funding Information: The computational resources of the University of Bristol Advanced Computing Research Centre and the BrisSynBio HPC facility are gratefully acknowledged. T.L. acknowledges support of Leverhulme Trust Research Project Grant No. RPG-2016-147 and Bris- SynBio, a BBSRC/EPSRC Synthetic Biology Research Center (Grant No. BB/L01386X/1). Publisher Copyright: {\textcopyright} 2023 authors. Published by the American Physical Society.",

year = "2023",

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doi = "10.1103/PhysRevE.108.014608",

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AU - Cameron, Samuel

AU - Mosayebi, Majid

AU - Bennett, Rachel

AU - Liverpool, Tanniemola B.

N1 - Funding Information: The computational resources of the University of Bristol Advanced Computing Research Centre and the BrisSynBio HPC facility are gratefully acknowledged. T.L. acknowledges support of Leverhulme Trust Research Project Grant No. RPG-2016-147 and Bris- SynBio, a BBSRC/EPSRC Synthetic Biology Research Center (Grant No. BB/L01386X/1). Publisher Copyright: © 2023 authors. Published by the American Physical Society.

PY - 2023/7/27

Y1 - 2023/7/27

N2 - We characterise the steady states of a suspension of two-dimensional active brownian particles (ABPs). We calculate the steady-state probability distribution to lowest order in Peclet number. We show that macroscopic quantities can be calculated in analogous way to equilibrium systems using this probability distribution. We then derive expressions for the macroscopic pressure and position-orientation correlation functions. We check our results by direct comparison with extensive numerical simulations. A key finding is the importance of many-body effective interactions even at very low densities.

AB - We characterise the steady states of a suspension of two-dimensional active brownian particles (ABPs). We calculate the steady-state probability distribution to lowest order in Peclet number. We show that macroscopic quantities can be calculated in analogous way to equilibrium systems using this probability distribution. We then derive expressions for the macroscopic pressure and position-orientation correlation functions. We check our results by direct comparison with extensive numerical simulations. A key finding is the importance of many-body effective interactions even at very low densities.

KW - cond-mat.stat-mech

KW - synthetic biology

KW - cond-mat.soft

U2 - 10.1103/PhysRevE.108.014608

DO - 10.1103/PhysRevE.108.014608

M3 - Article (Academic Journal)

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SN - 2470-0045

VL - 108

JO - Physical Review E

JF - Physical Review E

IS - 1

M1 - 014608

ER -

Equation of state for active matter

Abstract

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