title: Gaussian semiflexible rings under angular and dihedral restrictions.
abstract: Semiflexible polymer rings whose bonds obey both angular and dihedral restrictions [M. Dolgushev and A. Blumen, J. Chem. Phys. 138, 204902 (2013)], are treated under exact closure constraints. This allows us to obtain semianalytic results for their dynamics, based on sets of Langevin equations. The dihedral restrictions clearly manifest themselves in the behavior of the mean-square monomer displacement. The determination of the equilibrium ring conformations shows that the dihedral constraints influence the ring curvature, leading to compact folded structures. The method for imposing such constraints in Gaussian systems is very general and it allows to account for heterogeneous (site-dependent) restrictions. We show it by considering rings in which one site differs from the others.
authors.affiliation: Theoretical Polymer Physics, University of Freiburg, Hermann-Herder-Str. 3, 79104 Freiburg, Germany.
authors.forename: Maxim
authors.initials: M
authors.lastname: Dolgushev
authors.affiliation: Laboratoire de Physique Théorique de la Matière Condensée, Centre National de la Recherche Scientifique, Université Pierre et Marie Curie, 4 Place Jussieu, 75005 Paris, France.
authors.forename: Thomas
authors.initials: T
authors.lastname: Guérin
authors.affiliation: Theoretical Polymer Physics, University of Freiburg, Hermann-Herder-Str. 3, 79104 Freiburg, Germany.
authors.forename: Alexander
authors.initials: A
authors.lastname: Blumen
authors.affiliation: Laboratoire de Physique Théorique de la Matière Condensée, Centre National de la Recherche Scientifique, Université Pierre et Marie Curie, 4 Place Jussieu, 75005 Paris, France.
authors.forename: Olivier
authors.initials: O
authors.lastname: Bénichou
authors.affiliation: Laboratoire de Physique Théorique de la Matière Condensée, Centre National de la Recherche Scientifique, Université Pierre et Marie Curie, 4 Place Jussieu, 75005 Paris, France.
authors.forename: Raphaël
authors.initials: R
authors.lastname: Voituriez
mesh_terms: D008968:Molecular Conformation; D056004:Molecular Dynamics Simulation; D016011:Normal Distribution; D011108:Polymers / Q000737:chemistry*
chemical_list: D011108:Polymers