Delocalization transition of a small number of particles in a box with periodic boundary conditions

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    Abstract

    We perform molecular dynamics simulation of a small number of particles in a box with periodic boundary conditions from a viewpoint of chaotic dynamical systems. There is a transition at a critical energy Ec that each particle is confined in each unit cell for E< Ec, and the chaotic diffusion occurs for E> Ec. We find an anomalous behavior of the jump frequency above the critical energy in a two-particle system, which is related with the infinitely alternating stability change of the straight motion passing through a saddle point. We find simultaneous jump motions just above the critical energy in a four-particle system and 16-particle system, which is also related with the motion passing through the saddle point.

    Original languageEnglish
    Article number021113
    JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
    Volume79
    Issue number2
    DOIs
    Publication statusPublished - Feb 2 2009

    All Science Journal Classification (ASJC) codes

    • Statistical and Nonlinear Physics
    • Statistics and Probability
    • Condensed Matter Physics

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