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An equation of state for active matter

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arxiv 2201.10813 v2 pith:S4EWZ5PP submitted 2022-01-26 cond-mat.stat-mech cond-mat.soft

Samuel Cameron , Majid Mosayebi , Rachel Bennett , Tanniemola B. Liverpool This is my paper · ORCID
classification cond-mat.stat-mechcond-mat.soft
keywords activedistributionmacroscopicprobabilityabpsanalogousbrowniancalculate
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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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  1. The physics and mathematics of living and dying matter

    cond-mat.soft 2025-07 conditional novelty 6.0 of 10

    A thermodynamically consistent flocking model with explicit stored fuel shows active motion as a finite-lived transient between two equilibrium states.

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