Title

Universal Monomer Dynamics Of A Two-Dimensional Semi-Flexible Chain

Abstract

We present a unified scaling theory for the dynamics of monomers for dilute solutions of semi-flexible polymers under good solvent conditions in the free draining limit. Our theory encompasses the well-known regimes of mean square displacements (MSDs) of stiff chains growing like with time due to bending motions, and the Rouse-like regime where ν is the Flory exponent describing the radius R of a swollen flexible coil. We identify how the prefactors of these laws scale with the persistence length , and show that a crossover from stiff to flexible behavior occurs at a MSD of order (at a time proportional to ). A second crossover (to diffusive motion) occurs when the MSD is of order R 2. Large-scale molecular-dynamics simulations of a bead-spring model with a bond bending potential (allowing to vary from 1 to 200 Lennard-Jones units) provide compelling evidence for the theory, in D = 2 dimensions where . Our results should be valuable for understanding the dynamics of DNA (and other semi-flexible biopolymers) adsorbed on substrates. © Copyright EPLA, 2014.

Publication Date

1-1-2014

Publication Title

EPL

Volume

105

Issue

1

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1209/0295-5075/105/18002

Socpus ID

84893474769 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84893474769

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