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Lattice Versus Lennard-Jones Models with a Net Particle Flow

  • Conference paper
Traffic and Granular Flow’05

Summary

We present and study lattice and off-lattice microscopic models in which particles interact via a local anisotropic rule. The rule induces preferential hopping along one direction, so that a net current sets in if allowed by boundary conditions. This may be viewed as an oversimplification of the situation concerning certain traffic and flow problems. The emphasis in our study is on the influence of dynamic details on the resulting (non-equilibrium) steady state. In particular, we shall discuss on the similarities and differences between a lattice model and its continuous counterpart, namely, a Lennard-Jones analogue in which the particles’ coordinates vary continuously. Our study, which involves a large series of computer simulations, in particular reveals that spatial discretization will often modify the resulting morphological properties and even induce a different phase diagram and criticality.

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Author information

Authors and Affiliations

  1. Institute ‘Carlos I’ for Theoretical and Computational Physics, Universidad de Granada, E-18071, Granada, Spain

    Manuel Díez-Minguito, Pedro L. Garrido & Joaquín Marro

  2. Departamento de Electromagnetismo y Física de la Materia, Universidad de Granada, E-18071, Granada, Spain

    Manuel Díez-Minguito, Pedro L. Garrido & Joaquín Marro

Authors
  1. Manuel Díez-Minguito
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  2. Pedro L. Garrido
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  3. Joaquín Marro
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Editor information

Editors and Affiliations

  1. Institut für Theoretische Physik, Universität zu Köln, Zülpicher Str. 77, 50937, Köln, Germany

    Andreas Schadschneider

  2. Campus Virchow Klinikum Centrum für Unfall- und Wiederherstellungschirurgie, Charité, Augustenburger Platz 1, 13353, Berlin, Germany

    Thorsten Pöschel

  3. Institut für Verkehrsforschung, Deutsches Zentrum für Luft- und Raumfahrt (DLR), Rutherfordstr. 2, 12489, Berlin, Germany

    Reinhart Kühne

  4. Physik von Transport und Verkehr, Universität Duisburg-Essen, Lotharstr. 1, 47048, Duisburg, Germany

    Michael Schreckenberg

  5. Theoretische Physik, Universität Duisburg-Essen, Lotharstr. 1, 47048, Duisburg, Germany

    Dietrich E. Wolf

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Díez-Minguito, M., Garrido, P.L., Marro, J. (2007). Lattice Versus Lennard-Jones Models with a Net Particle Flow. In: Schadschneider, A., Pöschel, T., Kühne, R., Schreckenberg, M., Wolf, D.E. (eds) Traffic and Granular Flow’05. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-47641-2_4

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