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arXiv · 0901.2174

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

Hidetsugu Sakaguchi
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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 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 E E_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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Hidetsugu Sakaguchi. 2009-01-15. Delocalization transition of a small number of particles in a box with periodic boundary conditions. https://doi.org/10.1103/physreve.79.021113

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