Instability of One-Dimensional Lennard–Jones System — Particle Density Dependence-Reference-Cited by-同舟云学术

Instability of One-Dimensional Lennard–Jones System — Particle Density Dependence

Published:1998-07-10 Issue:16 Volume:12 Page:615-622
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

Okabe Tsuneyasu¹,Yamada Hiroaki²

Affiliation:

1. Graduate School of Science and Technology, Niigata University, Ikarashi 2-Nocho 8050, Niigata 950-2181, Japan

2. Faculty of Engineering, Niigata University, Ikarashi 2-Nocho 8050, Niigata 950-2181, Japan

Abstract

We report dynamical instability of one-dimensional system with the nearest-neighbor Lennard–Jones interaction. A presence of new certain region between weakly and strongly chaotic region has been found in energy dependence of the maximal Lyapunov exponent. It is numerically shown that the presence of the region is enhanced by decrease of the particle density. The characteristics of the Lennard–Jones system, which are different from the FPU and soft-core system, are explained by means of a local instability of the potential surface. In addition, the relation between the presence of the new region and spatio-temporal pattern is also discussed in the low density cases.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021798499800072X

Reference15 articles.

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