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Escape rate of an active Brownian particle over a potential barrier

P. S. Burada1,2,* and B. Lindner1,3,†

  • 1Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Str. 38, 01187 Dresden, Germany
  • 2Georg-August-Universität Göttingen, Institut für Theoretische Physik, Friedrich-Hund-Platz 1, 37077 Göttingen, Germany
  • 3Bernstein Center for Computational Neuroscience Berlin and Physics Department, Humboldt University Berlin, Philippstr. 13, Haus 2, 10099 Berlin, Germany

  • *Corresponding author: burada@pks.mpg.de
  • †benjamin.lindner@physik.hu-berlin.de
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Phys. Rev. E 85, 032102 – Published 21 March, 2012

DOI: https://doi.org/10.1103/PhysRevE.85.032102

Abstract

We study the dynamics of an active Brownian particle with a nonlinear friction function located in a spatial cubic potential. For strong but finite damping, the escape rate of the particle over the spatial potential barrier shows a nonmonotonic dependence on the noise intensity. We relate this behavior to the fact that the active particle escapes from a limit cycle rather than from a fixed point and that a certain amount of noise can stabilize the sojourn of the particle on this limit cycle.

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Phys. Rev. E 85, 032102– Published 21 March, 2012
  • Received 3 November 2011

©2012 American Physical Society

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