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Nonlinear Waves and Moving Clusters on Rings

In: Traffic and Granular Flow ’99

Author

Listed:
  • 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)

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.

Suggested Citation

  • U. Erdmann & J. Dunkel & W. Ebeling, 2000. "Nonlinear Waves and Moving Clusters on Rings," Springer Books, in: Dirk Helbing & Hans J. Herrmann & Michael Schreckenberg & Dietrich E. Wolf (ed.), Traffic and Granular Flow ’99, pages 239-244, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-59751-0_23
    DOI: 10.1007/978-3-642-59751-0_23
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