Diffusion and localization for the Chirikov typical map

Details Diffusion and localization for the Chirikov typical map Diffusion and localization for the Chirikov typical map

2009-05-12

arxiv.org/abs/0905.1884v2

Phys. Rev. E 80, 016210 (2009)

Physics

Condensed Matter

Other Condensed Matter

11 pages, 10 figures A small paragraph of explanations added below Eq. (13)

Scientific paper

10.1103/PhysRevE.80.016210

We consider the classical and quantum properties of the "Chirikov typical map", proposed by Boris Chirikov in 1969. This map is obtained from the well known Chirikov standard map by introducing a finite number $T$ of random phase shift angles. These angles induce a random behavior for small time scales ($tT$). We identify the classical chaos border $k_c\sim T^{-3/2} \ll 1$ for the kick parameter $k$ and two regimes with diffusive behavior on short and long time scales. The quantum dynamics is characterized by the effect of Chirikov localization (or dynamical localization). We find that the localization length depends in a subtle way on the two classical diffusion constants in the two time-scale regime.

Affiliated with

Also associated with

No associations

Rating

Diffusion and localization for the Chirikov typical map 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 Diffusion and localization for the Chirikov typical map, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Diffusion and localization for the Chirikov typical map will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-337513