Freezing by Heating in a Driven Mesoscopic System

Dirk Helbing, Illés J. Farkas, and Tamás Vicsek
Phys. Rev. Lett. 84, 1240 – Published 7 February 2000
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Abstract

We investigate a simple model corresponding to particles driven in opposite directions and interacting via a repulsive potential. The particles move off-lattice on a periodic strip 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.” One interesting feature of this transition is that a crystallized state with a higher total energy is obtained from a fluid state by increasing the amount of fluctuations.

  • Received 22 April 1999

DOI:https://doi.org/10.1103/PhysRevLett.84.1240

©2000 American Physical Society

Authors & Affiliations

Dirk Helbing1,2,*, Illés J. Farkas2,†, and Tamás Vicsek2,‡

  • 1II. Institute of Theoretical Physics, University of Stuttgart, Pfaffenwaldring 57/III, 70550 Stuttgart, Germany
  • 2Department of Biological Physics, Eötvös University, Budapest, Pázmány Péter Sétány 1A, H-1117 Hungary

  • *Electronic address: helbing@theo2.physik.uni-stuttgart.de
  • Electronic address: fij@elte.hu
  • Electronic address: vicsek@angel.elte.hu

Comments & Replies

Comment on “Freezing by Heating in a Driven Mesoscopic System”

Leo Radzihovsky and Noel A. Clark
Phys. Rev. Lett. 90, 189603 (2003)

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Vol. 84, Iss. 6 — 7 February 2000

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