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题名: Threshold law for escaping from the Henon-Heiles system
作者: Zhao, H. J. ;  Du, M. L.
刊名: PHYSICAL REVIEW E
出版日期: 2007
卷号: 76, 期号:2, 页码:-
关键词: CHAOTIC SYSTEMS ;  DECAY
学科分类: Physics
通讯作者: Zhao, HJ , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China
部门归属: Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
英文摘要: We 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.
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:000249154700086
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/5681
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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Recommended Citation:
Zhao, H. J.,Du, M. L.. Threshold law for escaping from the Henon-Heiles system[J]. PHYSICAL REVIEW E,2007,76(2):-.
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