Algebraic decay and fluctuations of the decay exponent in Hamiltonian systems.
Algebraic decay and fluctuations of the decay exponent in Hamiltonian systems.
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DOI：
10.1103/physreva.46.4661
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发表时间：
1992-10
期刊：
影响因子：
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通讯作者：
Ying-Cheng Lai;Mingzhou Ding;C. Grebogi;Reinhold Blümel
中科院分区：
文献类型：
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作者：
Ying-Cheng Lai;Mingzhou Ding;C. Grebogi;Reinhold Blümel
非双曲哈密顿系统中的粒子衰变过程通常用代数定律来描述。也就是说，对于一组固定的参数值，如果在某个Kol‘mogorov-Arnol’d-Moser(KAM)环面附近的混沌区域中初始化一个粒子，则该粒子在时间t处停留在该区域的概率随时间以代数方式衰减：P(T)∼t-z，其中z是衰减指数。当系统参数变化时，数值计算的指数z表现出相当大的波动
Particle-decay processes in a nonhyperbolic Hamiltonian system are typically characterized by algebraic laws. That is, for a fixed set of parameter values, if one initializes a particle in a chaotic region near some Kol'mogorov-Arnol'd-Moser (KAM) tori, the probability for this particle to remain in the region at time t decays with time algebraically: P(t)∼t -z , where z is the decay exponent. As a system parameter varies, the numerically calculated exponent z exhibits rather large fluctuations