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

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

2009-01-15

arxiv.org/abs/0901.2174v1

Physics

Condensed Matter

Statistical Mechanics

9 pages, 10 figures

Scientific paper

10.1103/PhysRevE.79.021113

We perform molecular dynamics simulation of a small number of particles in a box with periodic boundary conditions from a view point of chaotic dynamical systems. There is a transition at a critical energy E_c that each particle is confined in each unit cell for EE_c. 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 sixteen-particle system, which is also related with the motion passing through the saddle point.

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