Nonequilibrium statistical mechanics of swarms of driven particles

Details Nonequilibrium statistical mechanics of swarms of driven particles Nonequilibrium statistical mechanics of swarms of driven particles

2003-07-11

arxiv.org/abs/cond-mat/0307295v1

Complexity, 8(4):23-30 (2003)

Physics

Condensed Matter

Statistical Mechanics

11 pages, 2 figures

Scientific paper

10.1002/cplx.10090

As 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.

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