Measuring disorder in irreversible decay processes

Rate coefficients can fluctuate in statically and dynamically disordered kinetics. Here we relate the rate coefficient for an irreversibly decaying population to the Fisher information. From this relationship we define kinetic versions of statistical-length squared and divergence that measure cumula...

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Bibliographic Details
Published inarXiv.org
Main Authors Flynn, Shane W, Zhao, Helen C, Green, Jason R
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 09.09.2014
Subjects
Coefficients
Decay rate
Divergence
Physics - Chemical Physics
Physics - Statistical Mechanics
Population (statistical)
Variations
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Summary:Rate coefficients can fluctuate in statically and dynamically disordered kinetics. Here we relate the rate coefficient for an irreversibly decaying population to the Fisher information. From this relationship we define kinetic versions of statistical-length squared and divergence that measure cumulative fluctuations in the rate coefficient. We show the difference between these kinetic quantities measures the amount of disorder, and is zero when the rate coefficient is temporally and spatially unique.
ISSN:2331-8422
DOI:10.48550/arxiv.1409.2566