Multidimensional measures of response and fluctuations in stochastic dynamical systems
- Creators
- Kryvohuz, Maksym
- Mukamel, Shaul
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.Attached Files
Published - PhysRevA.86.043818.pdf
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Additional details
- PMCID
- PMC3893001
- Eprint ID
- 35483
- Resolver ID
- CaltechAUTHORS:20121115-102403695
- CHE-1058791
- NSF
- Department of Energy (DOE)
- GM-59230
- NIH
- Created
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2012-11-21Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field