Lyapunov modes and time-correlation functions for two-dimensional systems
School of Physics, University of New South Wales, Sydney, New South Wales, 2052, Australia
Revised: 18 November 2005
Published online: 12 April 2006
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.
PACS: 05.45.Jn – High-dimensional chaos / 05.45.Pq – Numerical simulations of chaotic systems / 02.70.Ns – Molecular dynamics and particle methods / 05.20.Jj – Statistical mechanics of classical fluids
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006