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We introduce a class of models of semiflexible polymers. The latter are characterized by a strong rigidity, the correlation length associated to the gradient-gradient correlations, called the persistence length, being of the same order as…

概率论 · 数学 2011-08-25 Ostap Hryniv , Yvan Velenik

The elasticity of disordered and polydisperse polymer networks is a fundamental problem of soft matter physics that is still open. Here, we self-assemble polymer networks via simulations of a mixture of bivalent and tri- or tetravalent…

We derive a reduced quasi-one-dimensional theory of geometrically frustrated elastic ribbons. Expressed in terms of geometric properties alone, it applies to ribbons over a wide range of scales, allowing the study of their elastic…

软凝聚态物质 · 物理学 2016-06-29 Doron Grossman , Eran Sharon , Haim Diamant

The properties of semiflexible polymers tethered by one end to an impenetrable wall and exposed to oscillatory shear flow are investigated by mesoscale simulations. A polymer, confined in two dimensions, is described by a linear bead-spring…

软凝聚态物质 · 物理学 2021-12-14 Antonio Lamura , Roland G. Winkler , Gerhard Gompper

A model for filament buckling at finite temperatures is presented. Starting from the classical worm-like chain model under constant compression, we use a mean-field approach for filament inextensibility to find the complete partition…

软凝聚态物质 · 物理学 2009-02-19 J. R. Blundell , E. M. Terentjev

The longitudinal response of single semiflexible polymers to sudden changes in externally applied forces is known to be controlled by the propagation and relaxation of backbone tension. Under many experimental circumstances, realized, e.g.,…

软凝聚态物质 · 物理学 2011-02-25 Florian Thüroff , Benedikt Obermayer , Erwin Frey

We present a systematic statistical mechanical analysis of the conformational properties of a stiff polyelectrolyte chain with intrachain attractions that are due to counterion correlations. We show that the mean-field solution corresponds…

软凝聚态物质 · 物理学 2007-05-23 Per Lyngs Hansen , Rudi Podgornik , Daniel Svenšek , V. Adrian Parsegian

Using path integral technique, we show exactly that for a semiflexible biopolymer in constant extension ensemble, no matter how long the polymer and how large the external force, the effects of short range correlations in the…

生物物理 · 物理学 2009-11-13 Zicong Zhou , Bela Joos

The random-force (Larkin) model of a directed elastic string subject to quenched random forces in the transverse directions has been a paradigm in the statistical physics of disordered systems. In this brief note, we investigate a modified…

软凝聚态物质 · 物理学 2011-08-05 Panayotis Benetatos , Eugene M. Terentjev

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…

生物物理 · 物理学 2015-02-10 Panayotis Benetatos , Alice von der Heydt , Annette Zippelius

Confinement is a versatile and well-established tool to study the properties of polymers either to understand biological processes or to develop new nano-biomaterials. We investigate the conformations of a semiflexible polymer ring in weak…

软凝聚态物质 · 物理学 2010-06-25 Katja Ostermeir , Karen Alim , Erwin Frey

We elucidate the elastic behavior of a wormlike chain in 3D under compression and provide exact solutions for the experimentally accessible force-extension relation in terms of generalized spheroidal wave functions. In striking contrast to…

软凝聚态物质 · 物理学 2019-11-11 Christina Kurzthaler

The endpoint distribution and dynamics of semiflexible fibers is studied by numerical simulation. A brief overview is given over the analytical theory of flexible and semiflexible polymers. In particular, a closed expression is given for…

软凝聚态物质 · 物理学 2013-06-13 Robert D. Groot

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…

软凝聚态物质 · 物理学 2019-07-17 Pavel Castro-Villarreal , J. E. Ramírez

The dynamical response of a tethered semiflexible polymer with self-attractive interactions and subjected to an external force field is numerically investigated by varying stiffness and self-interaction strength. The chain is confined in…

软凝聚态物质 · 物理学 2022-11-09 A. Lamura

We analyze the nonequilibrium dynamics of single inextensible semiflexible biopolymers as stretching forces are applied at the ends. Based on different (contradicting) heuristic arguments, various scaling laws have been proposed for the…

软凝聚态物质 · 物理学 2007-09-17 B. Obermayer , O. Hallatschek , E. Frey , K. Kroy

While polymer solutions lack the mechanical stability only transiently cross-linked networks can fulfill the competing requirements of structural stability and maximal energy dissipation. Here, we show that transient cross-links entail…

软凝聚态物质 · 物理学 2009-11-13 O. Lieleg , M. M. A. E. Claessens , Y. Luan , A. R. Bausch

We study the translocation of a semiflexible polymer through extended pores with patterned stickiness, using Langevin dynamics simulations. We find that the consequence of pore patterning on the translocation time dynamics is dramatic and…

软凝聚态物质 · 物理学 2018-05-02 Rajneesh Kumar , Abhishek Chaudhuri , Rajeev Kapri

We investigate wrinkling of two-dimensional random and triangular semiflexible polymer networks under shear. Both types of semiflexible networks exhibit wrinkling above a small critical shear angle, which scales with an exponent of the…

软凝聚态物质 · 物理学 2014-06-06 Pascal Müller , Jan Kierfeld

Disordered networks of semiflexible filaments are common support structures in biology. Familiar examples include fibrous matrices in blood clots, bacterial biofilms, and essential components of cells and tissues of plants, animals, and…

软凝聚态物质 · 物理学 2023-09-28 Saamiya Syed , Fred C. MacKintosh , Jordan L. Shivers