Some rigorous results on semiflexible polymers, I: Free and confined polymers

Hryniv, O.; Velenik, Y.

doi:10.1016/j.spa.2009.04.002

Some rigorous results on semiflexible polymers, I: Free and confined polymers

Hryniv, O.; Velenik, Y.

Authors

Dr Ostap Hryniv ostap.hryniv@durham.ac.uk
Associate Professor

Y. Velenik

Abstract

We introduce a class of models of semiflexible polymers. The latter are characterized by a strong rigidity, the correlation length associated with the gradient–gradient correlations, called the persistence length, being of the same order as the polymer length. We determine the macroscopic scaling limit, from which we deduce bounds on the free energy of a polymer confined inside a narrow tube.

Citation

Hryniv, O., & Velenik, Y. (2009). Some rigorous results on semiflexible polymers, I: Free and confined polymers. Stochastic Processes and their Applications, 119(10), 3081-3100. https://doi.org/10.1016/j.spa.2009.04.002

Journal Article Type	Article
Publication Date	Oct 1, 2009
Deposit Date	Feb 26, 2011
Publicly Available Date	Jun 13, 2014
Journal	Stochastic Processes and their Applications
Print ISSN	0304-4149
Publisher	Elsevier
Peer Reviewed	Peer Reviewed
Volume	119
Issue	10
Pages	3081-3100
DOI	https://doi.org/10.1016/j.spa.2009.04.002
Keywords	Semiflexible polymer, Functional CLT, Confinement.

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Copyright Statement
NOTICE: this is the author’s version of a work that was accepted for publication in Stochastic Processes and their Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Stochastic Processes and their Applications, 119, 10, 2009, 10.1016/j.spa.2009.04.002.