Abstract
AbstractAs a rough model for the collective motions of cells and organisms we develop here the statistical mechanics of swarms of self‐propelled particles. Our approach is closely related to the recently developed theory of active Brownian motion and the theory of canonical‐dissipative systems. Free motion and motion of a swarms confined in an external field is studied. Briefly, the case of particles confined on a ring and interacting by repulsive forces is studied. In more detail we investigate self‐confinement by Morse‐type attracting forces. We begin with pairs N = 2; the attractors and distribution functions are discussed, then the case N > 2 is discussed. Simulations for several dynamical modes of swarms of active Brownian particles interacting by Morse forces are presented. In particular we study rotations, drift, fluctuations of shape, and cluster formation. © 2003 Wiley Periodicals, Inc.
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