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Time-Oscillating Lyapunov Modes and the Momentum Autocorrelation Function

Time-Oscillating Lyapunov Modes and the Momentum Autocorrelation Function

The Lyapunov vectors corresponding to the steps of Lyapunov spectra for many-particle systems show time-oscillating behavior in two types of Lyapunov modes, one associated with time-translational invariance and the other with spatial translational invariance. Our result is that, for each coordinate direction, the longest period of the Lyapunov modes is …