The European Physical Journal Special Topics

, Volume 187, Issue 1, pp 127–134

Collective motion of active Brownian particles in one dimension



We analyze a model of active Brownian particles with non-linear friction and velocity coupling in one spatial dimension. The model exhibits two modes of motion observed in biological swarms: A disordered phase with vanishing mean velocity and an ordered phase with finite mean velocity. Starting from the microscopic Langevin equations, we derive mean-field equations of the collective dynamics. We identify the fixed points of the mean-field equations corresponding to the two modes and analyze their stability with respect to the model parameters. Finally, we compare our analytical findings with numerical simulations of the microscopic model.


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Copyright information

© EDP Sciences and Springer 2010

Authors and Affiliations

  1. 1.Department of PhysicsHumboldt Universität zu BerlinBerlinGermany
  2. 2.Helmholtz Association of German Research CentresBerlinGermany

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