Finite-size corrections for confined polymers in the extended de Gennes regime

Toby St Clere Smithe, Vitalii Iarko, Abhiram Muralidhar, Erik Werner, Kevin D. Dorfman, Bernhard Mehlig

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Abstract

Theoretical results for the extension of a polymer confined to a channel are usually derived in the limit of infinite contour length. But experimental studies and simulations of DNA molecules confined to nanochannels are not necessarily in this asymptotic limit. We calculate the statistics of the span and the end-to-end distance of a semiflexible polymer of finite length in the extended de Gennes regime, exploiting the fact that the problem can be mapped to a one-dimensional weakly self-avoiding random walk. The results thus obtained compare favorably with pruned-enriched Rosenbluth method (PERM) simulations of a three-dimensional discrete wormlike chain model of DNA confined in a nanochannel. We discuss the implications for experimental studies of linear λ-DNA confined to nanochannels at the high ionic strengths used in many experiments.

Original languageEnglish (US)
Article number062601
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume92
Issue number6
DOIs
StatePublished - Dec 17 2015

Bibliographical note

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© 2015 American Physical Society.

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