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Extreme-value statistics of work done in stretching a polymer in a gradient flow

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Author(s)
Vucelja, M.
•
Chertkov, M.
•
Turitsyn, Konstantin
Date Issued
February 2015
Journal
Physical Review E
Publisher
American Physical Society
Citation
Vucelja, M., K. S. Turitsyn, and M. Chertkov. “Extreme-Value Statistics of Work Done in Stretching a Polymer in a Gradient Flow.” Physical Review E 91.2 (2015). © 2015 American Physical Society
Version
Final published version
Abstract
We analyze the statistics of work generated by a gradient flow to stretch a nonlinear polymer. We obtain the large deviation function (LDF) of the work in the full range of appropriate parameters by combining analytical and numerical tools. The LDF shows two distinct asymptotes: “near tails” are linear in work and dominated by coiled polymer configurations, while “far tails” are quadratic in work and correspond to preferentially fully stretched polymers. We find the extreme value statistics of work for several singular elastic potentials, as well as the mean and the dispersion of work near the coil-stretch transition. The dispersion shows a maximum at the transition.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
http://hdl.handle.net/1721.1/94642
DOI of Published Version
https://doi.org/10.1103/PhysRevE.91.022123
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