Nonlinear Waves and Moving Clusters on Rings

U. Erdmann, J. Dunkel and W. Ebeling
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U. Erdmann: Humboldt-Universität zu Berlin, Institut für Physik
J. Dunkel: Humboldt-Universität zu Berlin, Institut für Physik
W. Ebeling: Humboldt-Universität zu Berlin, Institut für Physik

A chapter in Traffic and Granular Flow ’99, 2000, pp 239-244 from Springer

Abstract: Abstract The dynamics of a ring of masses including dissipative forces (passive and active friction) and Toda interactions between the masses are investigated. The characteristic attractor structure and the influence of noise by coupling to a heat bath are studied. The system may be driven from the thermodynamic equilibrium to far from equilibrium states by including negative friction. We show, that over-critical pumping with free energy may lead to a partition of the phase space into attractor regions corresponding to several types of collective motions including uniform rotations, one- and multiple soliton excitations and relative oscillations. With Lennard-Jones like interaction potentials the particles form clusters moving along the ring.

Keywords: Nonlinear Wave; Brownian Particle; Equilibrium Distance; Dissipative Force; Stochastic Force (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-59751-0_23

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DOI: 10.1007/978-3-642-59751-0_23

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