East model: Basis set expansion, mode coupling, and irreducible memory kernels

Article Abstract:

The analysis of the East model is used to investigate the nature of the irreducible memory kernel and collective kinetics in the temperature regime between Tg and Tc (when c=0, Tg=0 and Tc= infinity). The result reveals that the complete dynamic phase space including all the relevant dynamic modes rather than any subspace where one or more relevant modes are projected out is required in describing slow dynamics of dissipative systems.

Chemistry, Physical and theoretical, Physical chemistry, Matter, Kinetic theory of, Kinetic theory, Spin coupling

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Correlations in single molecule photon statistics: Renewal indicator

Article Abstract:

Multiple time scales are the intrinsic nature of complex systems and could be revealed through single molecule photon statistical analysis. A new indicator defined by the event-averaged initial condition is proposed to detect the deviation from the renewal behavior and to directly investigate the effects of conformational fluctuations.

Research and Development in the Physical, Engineering, and Life Sciences, Statistics, Photons, Poisson's equation, Statistics (Mathematics), Properties, Mathematical statistics

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Testing for renewal and detailed balance violations in single-molecule blinking processes

Article Abstract:

Methods to test one- and two-dimensional histograms for several features including the renewal properties, detailed balance violations, and experimental condition dependences are examined. These simple to implement tests allow rigorous statistical determination of the existence of these kinetic features.

Science & research, Research, Proteins, Protein folding, Protein structure, Histograms

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