Decay of the classical Loschmidt echo in integrable systems

Details Decay of the classical Loschmidt echo in integrable systems Decay of the classical Loschmidt echo in integrable systems

2003-04-16

arxiv.org/abs/nlin/0304032v1

Phys. Rev. E 68, 036212 (2003)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

8 pages, 3 figures, revtex

Scientific paper

10.1103/PhysRevE.68.036212

We study both analytically and numerically the decay of fidelity of classical motion for integrable systems. We find that the decay can exhibit two qualitatively different behaviors, namely an algebraic decay, that is due to the perturbation of the shape of the tori, or a ballistic decay, that is associated with perturbing the frequencies of the tori. The type of decay depends on initial conditions and on the shape of the perturbation but, for small enough perturbations, not on its size. We demonstrate numerically this general behavior for the cases of the twist map, the rectangular billiard, and the kicked rotor in the almost integrable regime.

Affiliated with

Also associated with

No associations

Rating

Decay of the classical Loschmidt echo in integrable systems 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 Decay of the classical Loschmidt echo in integrable systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Decay of the classical Loschmidt echo in integrable systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-608536