Abstract:
:We derive the stationary probability distribution for a non-equilibrium system composed by an arbitrary number of degrees of freedom that are subject to Gaussian colored noise and a conservative potential. This is based on a multidimensional version of the Unified Colored Noise Approximation. By comparing theory with numerical simulations we demonstrate that the theoretical probability density quantitatively describes the accumulation of active particles around repulsive obstacles. In particular, for two particles with repulsive interactions, the probability of close contact decreases when one of the two particle is pinned. Moreover, in the case of isotropic confining potentials, the radial density profile shows a non trivial scaling with radius. Finally we show that the theory well approximates the "pressure" generated by the active particles allowing to derive an equation of state for a system of non-interacting colored noise-driven particles.
journal_name
Sci Repjournal_title
Scientific reportsauthors
Maggi C,Marconi UM,Gnan N,Di Leonardo Rdoi
10.1038/srep10742subject
Has Abstractpub_date
2015-05-29 00:00:00pages
10742issn
2045-2322pii
srep10742journal_volume
5pub_type
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