On the diffusive anomalies in a long-range Hamiltonian system

Details On the diffusive anomalies in a long-range Hamiltonian system On the diffusive anomalies in a long-range Hamiltonian system

2006-01-23

arxiv.org/abs/cond-mat/0601518v3

Physics

Condensed Matter

Statistical Mechanics

5 pages, 5 figures. References added and corrected

Scientific paper

10.1103/PhysRevE.74.021118

We scrutinize the anomalies in diffusion observed in an extended long-range system of classical rotors, the HMF model. Under suitable preparation, the system falls into long-lived quasi-stationary states presenting super-diffusion of rotor phases. We investigate the diffusive motion of phases by monitoring the evolution of their probability density function for large system sizes. These densities are shown to be of the $q$-Gaussian form, $P(x)\propto (1+(q-1)[x/\beta]^2)^{1/(1-q)}$, with parameter $q$ increasing with time before reaching a steady value $q\simeq 3/2$. From this perspective, we also discuss the relaxation to equilibrium and show that diffusive motion in quasi-stationary trajectories strongly depends on system size.

Affiliated with

Also associated with

No associations

Rating

On the diffusive anomalies in a long-range Hamiltonian system does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the diffusive anomalies in a long-range Hamiltonian system, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the diffusive anomalies in a long-range Hamiltonian system will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-551328