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Published October 12, 2012 | Published
Journal Article Open

Multidimensional measures of response and fluctuations in stochastic dynamical systems

Abstract

A class of experiments is proposed which involve multiple measurements combined with multiple perturbations of a nonlinear classical complex system. A family of multipoint n + m − 1 dimensional measures R^((n,m)) that provide complementary information on complex systems is obtained by combining m nonlinear stimuli and n 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.

Additional Information

© 2012 American Physical Society. Received 4 June 2012; published 12 October 2012. We gratefully acknowledge the support of the National Science Foundation through Grant No. CHE-1058791; Chemical Sciences, Geosciences, and Biosciences Division, Office of Basic Energy Sciences, Office of Science, US Department of Energy; and National Institute of Health Grant No. GM-59230.

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Published - PhysRevA.86.043818.pdf

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Created:
August 19, 2023
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October 20, 2023