Direct Regular-to-Chaotic Tunneling Rates Using the Fictitious Integrable System Approach
Abstract
In systems with a mixed phase space, where regular and chaotic motion coexists, regular states are coupled to the chaotic region by dynamical tunneling. We give an overview on the determination of direct regular-to-chaotic tunneling rates using the fictitious integrable system approach. This approach is applied to different kicked systems, including the standard map, and successfully compared with numerical data. This text corresponds to Chapter 6 of the book: Dynamical Tunneling - Theory and Experiment, edited by S. Keshavamurthy and P. Schlagheck [Taylor and Francis CRC (2011)]. For a more extensive exposition see [Phys. Rev. E 82, 056208 (2010); arXiv:1009.0418v2].
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Cite
@article{arxiv.1104.0559,
title = {Direct Regular-to-Chaotic Tunneling Rates Using the Fictitious Integrable System Approach},
author = {Arnd Bäcker and Roland Ketzmerick and Steffen Löck},
journal= {arXiv preprint arXiv:1104.0559},
year = {2011}
}
Comments
23 pages, 10 figures. Chapter 6 of the book "Dynamical Tunneling: Theory and Experiment", edited by S. Keshavamurthy and P. Schlagheck [Taylor and Francis CRC (2011)]; abstract included