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The constraints imposed by nano- and microscale confinement on the conformational degrees of freedom of thermally fluctuating biopolymers are utilized in contemporary nano-devices to specifically elongate and manipulate single chains. A…

Soft Condensed Matter · Physics 2010-09-14 F. Thüroff , F. Wagner , E. Frey

We study the mechanical properties of semiflexible polymers when the contour length of the polymer is comparable to its persistence length. We compute the exact average end-to-end distance and shape of the polymer for different boundary…

Biomolecules · Quantitative Biology 2013-05-29 Yuko Hori , Ashok Prasad , Jane' Kondev

We study the spontaneous out-of-plane bending of a planar untwisted ribbon composed of nematic polymer networks activated by a change in temperature. Our theory accounts for both stretching and bending energies, which compete to establish…

Soft Condensed Matter · Physics 2023-02-03 Harmeet Singh , Epifanio G. Virga

The tube model is a central concept in polymer physics, and allows to reduce the complex many-filament problem of an entangled polymer solution to a single filament description. We investigate the probability distribution function of…

Soft Condensed Matter · Physics 2009-08-12 Hauke Hinsch , Erwin Frey

We investigate the propagation of a suddenly applied tension along a thermally excited semi-flexible polymer using analytical approximations, scaling arguments and numerical simulation. This problem is inherently non-linear. We find…

Soft Condensed Matter · Physics 2009-10-28 Udo Seifert , Wolfgang Wintz , Philip Nelson

Understanding fluctuation-induced breakages in polymers has important implications for basic and applied sciences. Here I present for the first time an analytical treatment of the thermal breakage problem of a semi-flexible polymer model…

Materials Science · Physics 2015-06-12 Chiu Fan Lee

We analyze the structural behavior of a single polymer chain grafted to an attractive, flexible surface. Our model is composed of a coarse-grained bead-and-spring polymer and a tethered membrane. By means of extensive parallel tempering…

Soft Condensed Matter · Physics 2011-09-26 Steffen Karalus , Wolfhard Janke , Michael Bachmann

Ring polymers are an intriguing class of polymers with unique physical properties, and understanding their behavior is important for developing accurate theoretical models. In this study, we investigate the effect of chain stiffness and…

Soft Condensed Matter · Physics 2023-08-24 Shota Goto , Kang Kim , Nobuyuki Matubayasi

Understanding thin sheets, ranging from the macro to the nanoscale, can allow control of mechanical properties such as deformability. Out-of-plane buckling due to in-plane compression can be a key feature in designing new materials. While…

Statistical Mechanics · Physics 2021-03-18 Paul Z. Hanakata , Sourav S. Bhabesh , Mark J. Bowick , David R. Nelson , David Yllanes

Motivated by the observation of the storage of excess elastic free energy - (prestress) -- in cross linked semiflexible networks, we consider the problem of the conformational statistics of a single semiflexible polymer in a quenched random…

Soft Condensed Matter · Physics 2019-04-10 Valentin M. Slepukhin , Maximilian J. Grill , Kei W. Müller , Wolfgang A. Wall , Alex J. Levine

In the first part of this work a summary is provided of some recent experiments and theoretical results which are relevant in the research of systems of polymer rings in nontrivial topological conformations. Next, some advances in modeling…

Soft Condensed Matter · Physics 2014-02-04 Yani Zhao , Franco Ferrari

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

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…

Soft Condensed Matter · Physics 2019-11-11 Christina Kurzthaler

The persistence length of semiflexible polymers and one-dimensional fluid membranes is obtained from the renormalization of their bending rigidity. The renormalized bending rigidity is calculated using an exact real-space functional…

Statistical Mechanics · Physics 2012-05-02 Petra Gutjahr , Reinhard Lipowsky , Jan Kierfeld

We use molecular simulations to study jamming of a crumpled bead-spring model polymer in a finite container and compare to jamming of repulsive spheres. After proper constraint counting, the onset of rigidity is seen to occur isostatically…

Soft Condensed Matter · Physics 2019-06-05 Samuel M. Soik , Tristan A. Sharp

We develop a formalism that describes the bending and twisting of axoneme-like filament bundles. We obtain general formulas to determine the relative sliding between any arbitrary filaments in a bundle subjected to unconstrained…

Cell Behavior · Quantitative Biology 2007-05-23 A. Ludu , N. Hutchings

We study the dynamics of a single polymer subject to thermal fluctuations in a linear shear flow. The polymer is modeled as a finitely extendable nonlinear elastic FENE dumbbell. Both orientation and elongation dynamics are investigated…

Chaotic Dynamics · Physics 2015-06-26 A. Celani , A. Puliafito , K. Turitsyn

The conformational and dynamical properties of active ring polymers are studied by numerical simulations. The two-dimensionally confined polymer is modeled as a closed bead-spring chain, driven by tangential forces, put in contact with a…

Soft Condensed Matter · Physics 2024-06-03 A. Lamura

We amplify previous arguments why mean curvature should be used as measure of integration in calculating the effective bending rigidity of fluid membranes subjected to a weak background curvature. The stiffening of the membrane by its…

Statistical Mechanics · Physics 2009-10-31 H. A. Pinnow , W. Helfrich

Stretching an elastic material along one axis typically induces contraction along the transverse axes, a phenomenon known as the Poisson effect. From these strains, one can compute the specific volume, which generally either increases or,…

Soft Condensed Matter · Physics 2024-07-31 Jordan L. Shivers , Fred C. MacKintosh