Relaxation of finite perturbations: beyond the fluctuation-response relation.

Relaxation of finite perturbations: beyond the fluctuation-response relation.
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有限扰动的松弛:超越波动响应关系。

DOI:
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发表时间:
2002
期刊:
影响因子:
2.9
通讯作者:
Angelo Vulpiani
Angelo Vulpiani
中科院分区:
数学2区
文献类型:
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作者:
G. Boffetta;G. Lacorata;S. Musacchio;Angelo Vulpiani

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研究了动力系统对有限振幅扰动的响应。一个广义的波动响应关系,它连接到平衡的系统的不变测度的平均松弛,并指出初始扰动的幅度的相关性。对具有多个特征时间的系统的数值计算表明了上述关系在实际情况中的相关性。
We study the response of dynamical systems to finite amplitude perturbation. A generalized fluctuation-response relation is derived, which links the average relaxation toward equilibrium to the invariant measure of the system and points out the relevance of the amplitude of the initial perturbation. Numerical computations on systems with many characteristic times show the relevance of the above-mentioned relation in realistic cases.