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Freezing by Heating in a Pedestrian Model

In: Traffic and Granular Flow ’99

Author

Listed:
  • D. Helbing

    (Eötvös University, Department of Biological Physics)

  • I. J. Farkas

    (Collegium Budapest — Institute for Advanced Study)

  • T. Vicsek

    (Collegium Budapest — Institute for Advanced Study)

Abstract

We investigate a simple model corresponding to pedestrians walking in opposite directions and interacting via a repulsive potential. The pedestrians move off-lattice in a periodic corridor and are subject to random forces as well. We show that this model - which can be considered as a continuum version of some driven diffusive systems - exhibits a paradoxical, new kind of transition called here “freezing by heating”. The most interesting feature of the transition is that a crystallized state with a higher total energy is obtained from a fluid state by increasing the amount of fluctuations

Suggested Citation

  • D. Helbing & I. J. Farkas & T. Vicsek, 2000. "Freezing by Heating in a Pedestrian Model," Springer Books, in: Dirk Helbing & Hans J. Herrmann & Michael Schreckenberg & Dietrich E. Wolf (ed.), Traffic and Granular Flow ’99, pages 245-250, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-59751-0_24
    DOI: 10.1007/978-3-642-59751-0_24
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