Equation of state for active matter

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

Research output: Contribution to journalArticle (Academic Journal)peer-review


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 languageEnglish
Article number014608
JournalPhysical Review E
Issue number1
Publication statusPublished - 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.


  • cond-mat.stat-mech
  • cond-mat.soft


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