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Dynamics of Dissipative System with Asymmetric Interaction and N-Body Problem for the Emergence of Moving Cluster

In: Traffic and Granular Flow ’07

Author

Listed:
  • Yūki Sugiyama

    (Nagoya University, Department of Complex Systems Science)

  • Katsutoshi Masuoka

    (Nagoya University, Department of Complex Systems Science)

  • Takahiro Ishida

    (Nagoya University, Department of Complex Systems Science)

Abstract

Summary Collective motion of self-driven particles is a non-equilibrium dissipative system with asymmetric interaction. Optimal Velocity Model is a minimal model formulated with Newtonian equation of particles in nonlinear asymmetric interaction with dissipative (viscous) term. Through the investigations of OV model we show the general properties in such systems: The inseparable relation between the asymmetry and dissipation. The particle-number N (or density) is a control parameter for the instability of a system. The small-N is large enough degree of freedom in such many-particle systems. They contrast sharply with the energy-momentum conserved systems.

Suggested Citation

  • Yūki Sugiyama & Katsutoshi Masuoka & Takahiro Ishida, 2009. "Dynamics of Dissipative System with Asymmetric Interaction and N-Body Problem for the Emergence of Moving Cluster," Springer Books, in: Cécile Appert-Rolland & François Chevoir & Philippe Gondret & Sylvain Lassarre & Jean-Patrick Lebacq (ed.), Traffic and Granular Flow ’07, pages 555-563, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-77074-9_60
    DOI: 10.1007/978-3-540-77074-9_60
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