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Zhao, H. J.; Du, M. L.; Zhao, HJ , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China
Threshold law for escaping from the Henon-Heiles system
Source PublicationPHYSICAL REVIEW E
KeywordChaotic Systems Decay
AbstractWe report a theoretical study of the escape rates of the Henon-Heiles system above threshold. An analytic formula for the escape rate as a function of energy is presented. We also simulated the escaping process by following the motions of a large number of particles. Two algorithms are employed to solve the equations of motion. One is the Runge-Kutta-Fehlberg method, and another is a recently proposed fourth order symplectic method. Our simulations show the escape of Henon-Heiles system follows exponential laws. We extracted the escape rates from the time dependence of particle numbers in the Henon-Heiles potential. The extracted escape rates agree with the analytic result. Close to threshold we find the rate alpha(Delta E) can be written as a series expansion, the first term of this expansion is 4/3 Delta E.
2007
ISSN1539-3755
Volume76Issue:2Pages:-
Subject AreaPhysics
Indexed BySCI
Citation statistics
Cited Times:9[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/5681
Collection理论物理所科研产出_SCI论文
Corresponding AuthorZhao, HJ , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Zhao, H. J.,Du, M. L.,Zhao, HJ , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China. Threshold law for escaping from the Henon-Heiles system[J]. PHYSICAL REVIEW E,2007,76(2):-.
APA Zhao, H. J.,Du, M. L.,&Zhao, HJ , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.(2007).Threshold law for escaping from the Henon-Heiles system.PHYSICAL REVIEW E,76(2),-.
MLA Zhao, H. J.,et al."Threshold law for escaping from the Henon-Heiles system".PHYSICAL REVIEW E 76.2(2007):-.
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