Stochastic curvature of enclosed semiflexible polymers.
Phys Rev E
; 100(1-1): 012503, 2019 Jul.
Article
em En
| MEDLINE
| ID: mdl-31499867
The conformational states of a semiflexible polymer enclosed in a compact domain of typical size a are studied as stochastic realizations of paths defined by the Frenet equations under the assumption that stochastic "curvature" satisfies a white noise fluctuation theorem. This approach allows us to derive the Hermans-Ullman equation, where we exploit a multipolar decomposition that allows us to show that the positional probability density function is well described by a telegrapher's equation whenever 2a/â_{p}>1, where â_{p} is the persistence length. We also develop a Monte Carlo algorithm for use in computer simulations in order to study the conformational states in a compact domain. In addition, the case of a semiflexible polymer enclosed in a square domain of side a is presented as an explicit example of the formulated theory and algorithm. In this case, we show the existence of a polymer shape transition similar to the one found by Spakowitz and Wang [Phys. Rev. Lett. 91, 166102 (2003)PRLTAO0031-900710.1103/PhysRevLett.91.166102] where in this case the critical persistence length is â_{p}^{*}≃a/8 such that the mean-square end-to-end distance exhibits an oscillating behavior for values â_{p}>â_{p}^{*}, whereas for â_{p}<â_{p}^{*} it behaves monotonically increasing.
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1
Coleções:
01-internacional
Base de dados:
MEDLINE
Idioma:
En
Revista:
Phys Rev E
Ano de publicação:
2019
Tipo de documento:
Article
País de afiliação:
México
País de publicação:
Estados Unidos