### 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 language | English |
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Article number | 021113 |

Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |

Volume | 79 |

Issue number | 2 |

DOIs | |

Publication status | Published - Feb 2 2009 |

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### All Science Journal Classification (ASJC) codes

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

### Cite this

**Delocalization transition of a small number of particles in a box with periodic boundary conditions.** / Sakaguchi, Hidetsugu.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - Delocalization transition of a small number of particles in a box with periodic boundary conditions

AU - Sakaguchi, Hidetsugu

PY - 2009/2/2

Y1 - 2009/2/2

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=61949196946&partnerID=8YFLogxK

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U2 - 10.1103/PhysRevE.79.021113

DO - 10.1103/PhysRevE.79.021113

M3 - Article

AN - SCOPUS:61949196946

VL - 79

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 2

M1 - 021113

ER -