{ "id": "cond-mat/0210197", "version": "v1", "published": "2002-10-09T14:32:21.000Z", "updated": "2002-10-09T14:32:21.000Z", "title": "Nonlinear Dynamics of Active Brownian Particles", "authors": [ "Werner Ebeling" ], "comment": "12 pages, 4 figures", "categories": [ "cond-mat.stat-mech" ], "abstract": "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 $1-d$ systems of masses connected by Toda springs which are imbedded into a heat bath. Including negative friction we find $N+1$ attractors of motion including an attractor describing dissipative solitons. Noise leads to transition between the deterministic attractors. In the case of two-dynamical motion of interacting particles angular momenta are generated and left/right rotations of pairs and swarms are found.", "revisions": [ { "version": "v1", "updated": "2002-10-09T14:32:21.000Z" } ], "analyses": { "keywords": [ "active brownian particles", "nonlinear dynamics", "interacting particles angular momenta", "statistical/stochastic theory", "left/right rotations" ], "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002cond.mat.10197E" } } }