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Kramers escape rate in overdamped systems with the power-law distribution

Yanjun Zhou and Jiulin Du

Physica A: Statistical Mechanics and its Applications, 2014, vol. 402, issue C, 299-305

Abstract: Kramers escape rate in the overdamped systems is restudied for the power-law distribution. By using the mean first passage time, we derive the escape rate with the power-law distribution and obtain the Kramers’ infinite barrier escape rate in this case. We show that the escape rate with the power-law distribution extends the Kramers’ overdamped result to the relatively low barrier. Furthermore, we apply the escape rate with the power-law distribution to the unfolding of titin and show a better agreement with the experimental rate than the traditional escape rate.

Keywords: Escape rate; Power-law distribution; Overdamped system (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:402:y:2014:i:c:p:299-305

DOI: 10.1016/j.physa.2014.01.065

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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