Collective motion of active Brownian particles in one dimension

Abstract

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.

submitted to Eur. Phys J. Special Topics

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• Active Random Walks in One and Two Dimensions
• Active noise-driven particles under space-dependent friction in one dimension
• First passage statistics of active random walks on one and two dimensional lattices
• Single-File Diffusion of Active Brownian Particles
• Effect of initial conditions on current fluctuations in non-interacting active particles
• Jerky chiral active particles