Fluctuations, convergence times, correlation functions, and power laws from many-body Lyapunov spectra for soft and hard disks and spheres

被引：8

作者：

Dellago, Christoph ^{[1
]}

Hoover, Wm G. ^{[2
]}

Posch, Harald A. ^{[3
]}

机构：

[1] Department of Chemistry, University of Rochester, Rochester, NY 14627-0216

[2] Department of Applied Science, Univ. California at Davis/Livermore, Lawrence Livermore Natl. Laboratory, Livermore, CA 94551-7808

[3] Institute for Experimental Physics, University of Vienna, Boltzmanngasse 5, A-1090 Vienna, Austria

来源：

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | 2002年 / 65卷 / 05期

关键词：

Convergence of numerical methods - Correlation methods - Eigenvalues and eigenfunctions - Functions - Lyapunov methods - Spheres - Thermodynamics - Vectors;

D O I：

10.1103/PhysRevE.65.056216

中图分类号：

学科分类号：

摘要：

The dynamical instability of many-body systems is best characterized through the time-dependent local Lyapunov spectrum {λj}, its associated comoving eigenvectors {δj}, and the global time-averaged spectrum {〈(λj〉}. We study the fluctuations of the local spectra as well as the convergence rates and correlation functions associated with the δ vectors as functions of j and system size N. All the number dependences can be described by simple power laws. The various powers depend on the thermodynamic state and force law as well as system dimensionality. © 2002 The American Physical Society.

引用

页码：1 / 056216