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Title: Multidimensional characterization of stochastic dynamical systems based on multiple perturbations and measurements

Journal Article · · Journal of Chemical Physics
DOI:https://doi.org/10.1063/1.4917527· OSTI ID:22415903
;  [1]
  1. Chemistry Department, University of California, Irvine, California 92697-2025 (United States)

Generalized nonlinear response theory is presented for stochastic dynamical systems. Experiments in which multiple measurements of dynamical quantities are used along with multiple perturbations of parameters of dynamical systems are described by generalized response functions (GRFs). These constitute a new type of multidimensional measures of stochastic dynamics either in the time or the frequency domains. Closed expressions for GRFs in stochastic dynamical systems are derived and compared with numerical non-equilibrium simulations. Several types of perturbations are considered: impulsive and periodic perturbations of temperature and impulsive perturbations of coordinates. The present approach can be used to study various types of stochastic processes ranging from single-molecule conformational dynamics to chemical kinetics of finite-size reactors such as biocells.

OSTI ID:
22415903
Journal Information:
Journal of Chemical Physics, Vol. 142, Issue 21; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-9606
Country of Publication:
United States
Language:
English

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