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A quantitative theory of the buckling of a worm like chain based on a semi-classical approximation of the partition function is presented. The contribution of thermal fluctuations to the force-extension relation that allows to go beyond the…

Soft Condensed Matter · Physics 2016-08-14 Marc Emanuel , Hervé Mohrbach , Mehmet Sayar , Helmut Schiessel , Igor M. Kulić

An off-lattice Monte Carlo algorithm for solutions of equilibrium polymers (EP) is proposed. At low and moderate densities this is shown to reproduce faithfully the (static) properties found recently for flexible linear EP using a lattice…

Statistical Mechanics · Physics 2009-10-31 A. Milchev , J. P. Wittmer , D. P. Landau

We present a study of the bend angle distribution of semiflexible polymers of short and intermediate lengths within the wormlike chain model. This enables us to calculate the elastic response of a stiff molecule to a bending moment. Our…

Soft Condensed Matter · Physics 2015-06-12 Anirban Polley , Joseph Samuel , Supurna Sinha

We analyze static properties of a strongly confined semiflexible polymer, i.e. either trapped in a closed space or compressed by external forces, in an athermal solvent. Like a flexible polymer case, we can resort to an analogy with the…

Soft Condensed Matter · Physics 2009-11-13 Takahiro Sakaue

The non-equilibrium structural and dynamical properties of semiflexible polymers confined to two dimensions are investigated by molecular dynamics simulations. Three different scenarios are considered: The force-extension relation of…

Soft Condensed Matter · Physics 2013-01-08 A. Lamura , R. G. Winkler

Polymer models describing the statistics of biomolecules under confinement have applications to a wide range of single molecule experimental techniques and give insight into biologically relevant processes {\em{in vivo}}. In this paper, we…

Biological Physics · Physics 2023-09-18 Joel Gard , Greg Morrison

The interplay of geometrical and topological entanglement in semiflexible knotted polymer rings confined inside a spherical cavity is investigated using advanced numerical methods. By using stringent and robust algorithms for locating…

Soft Condensed Matter · Physics 2011-11-15 Luca Tubiana , Enzo Orlandini , Cristian Micheletti

We present a detailed study of the static and dynamic behavior of long semiflexible polymer chains in a melt. Starting from previously obtained fully equilibrated high molecular weight polymer melts [{\it Zhang et al.} ACS Macro Lett. 3,…

Soft Condensed Matter · Physics 2016-05-25 Hsiao-Ping Hsu , Kurt Kremer

We use Monte Carlo simulations to study polymer melts consisting of fully flexible and moderately stiff chains in the bond fluctuation model at a volume fraction $0.5$. In order to reduce the local density fluctuations, we test a…

Soft Condensed Matter · Physics 2015-06-24 Hsiao-Ping Hsu

The miscibility of polymer blends, a classical problem in polymer science, may be altered, if one or both of the component do not have chain ends. Based on the idea of {\it topological volume}, we propose a mean-field theory to clarify how…

Soft Condensed Matter · Physics 2016-05-04 Takahiro Sakaue , Chihiro H. Nakajima

Single linear polymer chains in dilute solutions under good solvent conditions are studied by Monte Carlo simulations with the pruned-enriched Rosenbluth method up to the chain length $N \sim {\cal O}(10^4)$. Based on the standard simple…

Soft Condensed Matter · Physics 2015-06-24 Hsiao-Ping Hsu

Polymers exposed to shear flow exhibit a rich tumbling dynamics. While rigid rods rotate on Jeffery orbits, flexible polymers stretch and coil up during tumbling. Theoretical results show that in both of these asymptotic regimes the…

Soft Condensed Matter · Physics 2014-05-27 Philipp S. Lang , Benedikt Obermayer , Erwin Frey

We report the results of extensive Dynamic Monte Carlo simulations of systems of self-assembled Equilibrium Polymers without rings in good solvent. Confirming recent theoretical predictions, the mean-chain length is found to scale as $\Lav…

Soft Condensed Matter · Physics 2009-10-31 J. P. Wittmer , A. Milchev , M. E. Cates

The probability that a randomly accelerated particle in two dimensions has not yet left a simply connected domain ${\cal A}$ after a time $t$ decays as $e^{-E_0t}$ for long times. The same quantity $E_0$ also determines the confinement free…

Statistical Mechanics · Physics 2009-11-07 D. J. Bicout , T. W. Burkhardt

Twist stiffness and an asymmetric bending stiffness of a polymer or a polymer bundle is captured by the elastic ribbon model. We investigate the effects a ring geometry induces to a thermally fluctuating ribbon, finding bend-bend coupling…

Biomolecules · Quantitative Biology 2008-02-07 Karen Alim , Erwin Frey

The reorientation dynamics of local tangent vectors of chains in isotropic amorphous melts containing semiflexible model polymers was studied by molecular dynamics simulations. The reorientation is strongly influenced both by the local…

Soft Condensed Matter · Physics 2016-08-15 Roland Faller , Florian Müller-Plathe , Andreas Heuer

We consider a single living semi-flexible filament with persistence length l_p in chemical equilibrium with a solution of free monomers at fixed monomer chemical potential mu_1 and fixed temperature T. While one end of the filament is…

Biological Physics · Physics 2015-10-28 Carlo Pierleoni , Giovanni Ciccotti , Jean-Paul Ryckaert

We report a theoretical study of DNA flexibility and quantitatively predict the ring closure probability as a function of DNA contour length. Recent experimental studies show that the flexibility of short DNA fragments (as compared to the…

Soft Condensed Matter · Physics 2013-10-01 Xinliang Xu , Beng Joo Reginald , Jianshu Cao

We investigate theoretically the effect of polymer tension on the collective behavior of reversibly binding cross-links. For this purpose, we employ a model of two weakly bending wormlike chains aligned in parallel by a tensile force, with…

Biological Physics · Physics 2015-02-10 Panayotis Benetatos , Alice von der Heydt , Annette Zippelius

The distribution function of the end-to-end distance of a semiflexible polymer, G(R;L) (where R denotes the end-to-end distance and L the contour length), is calculated using a meanfield-like approach. The theory yields an extremely simple…

Statistical Mechanics · Physics 2016-08-31 J. K. Bhattacharjee , D. Thirumalai , J. D. Bryngelson
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