随机动力系统中响应与涨落的多维测度
Multidimensional Measures of Response and Fluctuations in Stochastic Dynamical Systems.
作者信息
Kryvohuz Maksym, Mukamel Shaul
机构信息
Arthur Amos Noyes Laboratory of Chemical Physics, 127-72, California Institute of Technology, Pasadena, California 91125, USA.
Chemistry Department, University of California, Irvine, California, 92697-2025, USA.
出版信息
Phys Rev A. 2012 Oct 12;86(4). doi: 10.1103/PhysRevA.86.043818.
A new class of experiments is proposed which involve multiple measurements combined with multiple perturbations of a nonlinear classical complex system. A family of multipoint + - 1 dimensional measures that provide complimentary information on complex systems is obtained by combining non linear stimuli and measurements. They represent the combined effect of causal response and noncausal spontaneous fluctuations. The proposed signals can be measured either in the frequency domain or in the time domain. Generalized fluctuation-dissipation relations which hold in the nonlinear regime restrict the number of independent techniques. Two dimensional correlation plots derived from such measurements can reveal various types of couplings among collective modes.
提出了一类新的实验，这类实验涉及对非线性经典复杂系统进行多次测量并结合多次微扰。通过将非线性刺激与测量相结合，获得了一族能提供关于复杂系统互补信息的多点±1维测量方法。它们代表了因果响应和非因果自发涨落的综合效应。所提出的信号既可以在频域中测量，也可以在时域中测量。在非线性区域成立的广义涨落耗散关系限制了独立技术的数量。从这类测量中得出的二维相关图可以揭示集体模式之间的各种耦合类型。
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