Summary
We consider finite systems of interacting Brownian particles including active friction in the framework of nonlinear dynamics and statistical/stochastic theory. First we study the statistical properties for one-dimensional systems of N masses connected by Toda springs which are imbedded in a heat bath. Including negative friction, we find N + 1 attractors of motion, including an attractor describing dissipative soli-tons. Noise leads to transition between the deterministic attractors. In the case of two-dimensional motion of interacting particles, angular momenta are generated and left/right rotations of pairs and swarms are found.
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Ebeling, W. (2002). Nonlinear Dynamics of Active Brownian Particles. In: Computational Statistical Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04804-7_9
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DOI: https://doi.org/10.1007/978-3-662-04804-7_9
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