Relaxation and Diffusion in a Globally Coupled Hamiltonian System

Details Relaxation and Diffusion in a Globally Coupled Hamiltonian System Relaxation and Diffusion in a Globally Coupled Hamiltonian System

2002-09-13

arxiv.org/abs/nlin/0209031v3

Nonlinear Sciences

Chaotic Dynamics

9 pages, 23 eps figures, revtex4

Scientific paper

The relation between relaxation and diffusion is investigated in a Hamiltonian system of globally coupled rotators. Diffusion is anomalous if and only if the system is going towards equilibrium. The anomaly in diffusion is not anomalous diffusion taking a power-type function, but is a transient anomaly due to non-stationarity. Contrary to previous claims, in quasi-stationary states, diffusion can be explained by a stretched exponential correlation function, whose stretching exponent is almost constant and correlation time is linear as functions of degrees of freedom. The full time evolution is characterized by varying stretching exponent and correlation time.

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