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

Christoph Dellago, Wm. G. Hoover, Harald A. Posch
2002 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
The dynamical instability of many-body systems is best characterized through the time-dependent local Lyapunov spectrum ͕ j ͖, its associated comoving eigenvectors ͕␦ j ͖, and the "global" time-averaged spectrum ͕͗ j ͖͘. We study the fluctuations of the local spectra as well as the convergence rates and correlation functions associated with the ␦ 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
more » ... ynamic state and force law as well as system dimensionality.
doi:10.1103/physreve.65.056216 pmid:12059689 fatcat:tjfzmfdlvbazni65nrco47ymlu