哈密顿系统的随机性和输运

The annual research report Pub Date : 1984-02-27 DOI:10.1103/PHYSREVLETT.52.697

R. MacKay, J. Meiss, I. Percival

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引用次数: 137

摘要

非线性动力学中的输运理论是根据不变环面被破坏时仍然存在的“泄漏”障碍发展起来的。得到了破坏环面输运时间的临界指数，解释了奇里科夫的数值结果。许多破坏环面的综合效应导致在许多计算中观察到的相关系数的幂律衰减。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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STOCHASTICITY AND TRANSPORT IN HAMILTONIAN SYSTEMS

The theory of transport in nonlinear dynamics is developed in terms of ''leaky'' barriers which remain when invariant tori are destroyed. A critical exponent for transport times across destroyed tori is obtained which explains numerical results of Chirikov. The combined effects of many destroyed tori lead to power-law decay of correlations observed in many computations.

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The annual research report

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