Lyapunov Modes and Time-Correlation Functions for Two-Dimensional Systems

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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9 pages, 4 figures

Scientific paper

10.1140/epjb/e2006-00098-8

The relation between the Lyapunov modes (delocalized Lyapunov vectors) and the momentum autocorrelation function is discussed in two-dimensional hard-disk systems. We show numerical evidence that the smallest time-oscillating period of the Lyapunov modes is twice as long as the time-oscillating period of momentum autocorrelation function for both square and rectangular two-dimensional systems with hard-wall boundary conditions.

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