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We show that the mechanical properties of a worm-like-chain (WLC) polymer, of contour length $L$ and persistence length $\l$ such that $t=L/\l\sim{\cal O}(1)$, depend both on the ensemble and the constraint on end-orientations. In the…

Statistical Mechanics · Physics 2015-06-25 Debasish Chaudhuri

Polymer translocation has long been a topic of interest in the field of biological physics given its relevance in both biological (protein and DNA/RNA translocation through nuclear and cell membranes) and technological processes (nanopore…

Soft Condensed Matter · Physics 2023-09-11 Alejandro Sainz-Agost , Fernando Falo , Alessandro Fiasconaro

Semiflexible macromolecules in dilute solution under very good solvent conditions are modeled by self-avoiding walks on the simple cubic lattice ($d=3$ dimensions) and square lattice ($d=2$ dimensions), varying chain stiffness by an energy…

Soft Condensed Matter · Physics 2015-05-30 Hsiao-Ping Hsu , Kurt Binder

Synthetic copolymers and biopolymers, such as polypeptides and double-stranded DNA, often exhibit strong variations in bending stiffness along their contour, which can significantly impact conformational behavior at larger scales. To…

Soft Condensed Matter · Physics 2025-11-04 Yannick Witzky , Friederike Schmid , Arash Nikoubashman

The properties of a semiflexible polymer with fixed ends exposed to oscillatory shear flow are investigated by simulations. The two-dimensionally confined polymer is modeled as a linear bead-spring chain, and the interaction with the fluid…

Soft Condensed Matter · Physics 2021-12-14 Antonio Lamura , Roland G. Winkler

We present using simple scaling arguments and one step replica symmetry breaking a theory for the localization of semiflexible polymers in a quenched random environment. In contrast to completely flexible polymers, localization of…

Soft Condensed Matter · Physics 2009-11-10 Arti Dua , Thomas A. Vilgis

While analyzing the persistence length of DNA atomistic simulations Wu et al. [J. Chem. Phys. 142, 125103 (2015)] introduced an empirical formula to account for the observed length-dependence. In particular they found that the persistence…

Soft Condensed Matter · Physics 2021-10-26 Midas Segers , Enrico Skoruppa , Jan A. Stevens , Merijn Vangilbergen , Aderik Voorspoels , Enrico Carlon

A theory is presented for the binding of small molecules such as surfactants to semiflexible polymers. The persistence length is assumed to be large compared to the monomer size but much smaller than the total chain length. Such polymers…

Soft Condensed Matter · Physics 2009-09-25 Haim Diamant , David Andelman

The interplay of topological constraints and persistence length of ring polymers in their own melt is investigated by means of dynamical Monte Carlo simulations of a three dimensional lattice model. We ask if the results are consistent with…

Statistical Mechanics · Physics 2009-10-31 M. Muller , J. P. Wittmer , M. E. Cates

Conformations of partially or fully adsorbed semiflexible polymer chains are studied varying both contour length $L$, chain stiffness, $\kappa$, and the strength of the adsorption potential over a wide range. Molecular Dynamics simulations…

Soft Condensed Matter · Physics 2019-10-02 Andrey Milchev , Kurt Binder

We provide a unified theory for the high force elasticity of biopolymers solely in terms of the persistence length, $\xi_p$, and the monomer spacing, $a$. When the force $f>\fh \sim k_BT\xi_p/a^2$ the biopolymers behave as Freely Jointed…

Statistical Mechanics · Physics 2015-05-14 Ngo Minh Toan , D. Thirumalai

We present an analytical theory for heteropolymer deformation, as exemplified experimentally by stretching of single protein molecules. Using a mean-field replica theory, we determine phase diagrams for stress-induced unfolding of typical…

Statistical Mechanics · Physics 2009-11-07 Phillip L. Geissler , Eugene I. Shakhnovich

The conformational properties of flexible and semiflexible polymers exposed to active noise are studied theoretically. The noise may originate from the interaction of the polymer with surround- ing active (Brownian) particles or from the…

Soft Condensed Matter · Physics 2024-06-03 Thomas Eisenstecken , Gerhard Gompper , Roland G. Winkler

Living cells are soft bodies of a characteristic form, but endowed with a capacity for a steady turnover of their structures. Both of these material properties, i.e. recovery of the shape after an external stress has been imposed and…

Soft Condensed Matter · Physics 2007-05-23 Erwin Frey , Klaus Kroy , Jan Wilhelm

We consider random walk model of a semi-flexible polymer chain on a square and a cubic lattice to enumerate conformations of the polymer chain in two and three dimensions, respectively. The bending energy of the chain is assumed as the key…

Soft Condensed Matter · Physics 2020-08-04 Pramod Kumar Mishra

In this paper, we analyze the effect of geometrical constraint on the conformational properties of an infinitely long linear semiflexible polymer chain confined in-between two constraints under good solvent condition in two dimensions. The…

Soft Condensed Matter · Physics 2020-12-29 Pramod Kumar Mishra

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

An efficient numerical framework is presented for modeling viscoelasticity and permanent set of polymers. It is based on the hereditary integral form of transient network theory, in which polymer chains belong to distinct networks each with…

Computational Engineering, Finance, and Science · Computer Science 2025-06-27 Stephen T. Castonguay , Joshua B. Fernandes , Michael A. Puso , Sylvie Aubry

We consider directed semiflexible polymers embedded in a fluctuating surface which is governed by either surface tension or bending rigidity. The attractive interactions induced by the fluctuations of the surface reduce the rigidity of the…

Condensed Matter · Physics 2009-10-28 Ramin Golestanian

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