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Phys. Rev. E 78, 066113 (2008) [7 pages]

Information entropy as a measure of nonexponentiality of waiting-time distributions

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Sergei F. Chekmarev
Institute of Thermophysics, 630090 Novosibirsk, Russia and Department of Physics, Novosibirsk State University, 630090 Novosibirsk, Russia

Received 10 May 2008; revised 18 September 2008; published 23 December 2008

It is shown that the information entropy based on waiting-time distributions (WTDs) offers a natural and robust measure of nonexponentiality of the distributions in the form of the Schrödinger-Brillouin negentropy, or equivalently the Kullback-Leibler divergence, and has a straightforward interpretation in terms of transition state theory. Other measures of nonexponentiality of WTDs, based on comparison of the standard deviation and the median with the mean waiting time, are also discussed. The theoretical analysis is illustrated with results from protein folding studies.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.78.066113
DOI:
10.1103/PhysRevE.78.066113
PACS:
82.20.Uv, 87.15.hm