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Fluctuations, convergence times, correlation functions, and power laws from many-body Lyapunov spectra for soft and hard disks and spheres
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 thedoi:10.1103/physreve.65.056216 pmid:12059689 fatcat:tjfzmfdlvbazni65nrco47ymlu