Abstract.
Despite their fundamentally nonequilibrium nature, the individual and collective behavior of active systems with polar propulsion and isotropic interactions (polar-isotropic active systems) are remarkably well captured by equilibrium mapping techniques. Here we examine two signatures of equilibrium systems --the existence of a local free energy function and the independence of the coarse-grained behavior on the details of the microscopic dynamics-- in polar-isotropic active particles confined by hard walls of arbitrary geometry at the one-particle level. We find that boundaries that possess concave regions make the density profile strongly dynamics-dependent and give it a nonlocal dependence on the geometry of the confining box. This in turn constrains the scope of equilibrium mapping techniques in polar-isotropic active systems.
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Fily, Y., Baskaran, A. & Hagan, M.F. Equilibrium mappings in polar-isotropic confined active particles. Eur. Phys. J. E 40, 61 (2017). https://doi.org/10.1140/epje/i2017-11551-3
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DOI: https://doi.org/10.1140/epje/i2017-11551-3