Factorized time correlation diagram analysis of paired causal systems excited by twin stochastic driving functions

Daniel P. Biebighauser, Daniel B. Turner, Darin J. Ulness

Research output: Contribution to journalArticlepeer-review

Abstract

This work examines the properties and mathematical structure of factorized time correlation (FTC) diagram analysis in a general context. The goal is to extract general principles and analytic behavior that arc not tied to any particular phenomenon in physics. It is hoped that this will provide a basis for expanded use of FTC diagram analysis beyond its current employment in the study of noisy light-based nonlinear optical spectroscopy. Furthermore, the concept of indirect correlation in a two-channel system driven by twin stationary circular Gaussian stochastic inputs is defined and discussed both analytically and through FTC diagram analysis.

Original languageEnglish (US)
Article number026142
Pages (from-to)026142/1-026142/12
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume65
Issue number2
DOIs
StatePublished - Feb 2002

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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