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

    Fingerprint

    Particle System
    Periodic Boundary Conditions
    boxes
    boundary conditions
    Saddlepoint
    Motion
    Jump
    Energy
    Chaotic Dynamical Systems
    saddle points
    Straight
    Molecular Dynamics Simulation
    Anomalous
    Unit
    dynamical systems
    Cell
    energy
    molecular dynamics
    cells
    simulation

    All Science Journal Classification (ASJC) codes

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

    Cite this

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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.",
    author = "Hidetsugu Sakaguchi",
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    AB - 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.

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