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This article present the double-periodical lattice made of infinite elastic fibers that withstand bending and tension. The model describes the elastic properties of flat periodic structure. With this model the behavior of a two-dimensional…

Soft Condensed Matter · Physics 2016-12-05 V. Kobelev

A constitutive model is developed for the mechanical response of elastomers at finite strains. A polymer is treated as a network of linear chains linked by permanent (chemical crosslinks) and temporary (entanglements and van der Waals…

Materials Science · Physics 2007-05-23 Aleksey D. Drozdov , Al Dorfmann

We present a unifying picture of the compact, dense and dilute phases of two-dimensional polymers. The lattice dependence of the scaling exponents for compact polymers is reconciled with their universality in the dense and dilute case. In…

Statistical Mechanics · Physics 2007-05-23 Jesper Lykke Jacobsen , Jane' Kondev

When double stranded DNA is turned in experiments it undergoes a transition. We use an interacting self-avoiding walk on a three-dimensional fcc lattice weighted by writhe to relate to these experiments and treat this problem via…

Statistical Mechanics · Physics 2016-10-28 Eduardo Dagrosa , Aleksander L Owczarek , Thomas Prellberg

Using a mapping of compact polymers on the Manhattan lattice to spanning trees, we calculate exactly the average number of bends at infinite temperature. We then find, in a high temperature approximation, the energy of the system as a…

Statistical Mechanics · Physics 2010-03-12 Armin Rahmani , Andrea Velenich , Claudio Chamon

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.,…

Soft Condensed Matter · Physics 2011-02-25 Florian Thüroff , Benedikt Obermayer , Erwin Frey

We study the dynamics of a polymer that is pulled by a constant force through a viscoelastic medium. This is a model for a polymer being pulled through a cell by an external force, or for an active biopolymer moving due to a self generated…

Soft Condensed Matter · Physics 2015-06-22 Hans Vandebroek , Carlo Vanderzande

We use stochastic rotation dynamics to examine the dynamics of the ejection of an initially strongly confined flexible polymer from a spherical capsid with and without hydrodynamics. The results obtained using SRD are compared to similar…

Biological Physics · Physics 2017-06-07 Joonas Piili , Pauli M. Suhonen , Riku P. Linna

We study two cross-linked polymer systems in the strong stretching regime. The first consists of two polymers sharing one endpoint, with the other two endpoints coupled by a harmonic potential. Within the weakly bending approximation, we…

Soft Condensed Matter · Physics 2026-03-30 Geunho Noh , Panayotis Benetatos

We study the conformations of polymer chains in a poor solvent, with and without bending rigidity, by means of a simple statistical mechanics model. This model can be exactly solved for chains of length up to N=55 using exact enumeration…

Statistical Mechanics · Physics 2007-11-26 Anthony J. Guttmann , Jesper L. Jacobsen , Iwan Jensen , Sanjay Kumar

The dynamics of ring polymer melts are studied via molecular dynamics simulations of the Kremer-Grest bead-spring model. Rouse mode analysis is performed in comparison with linear polymers by changing the chain length. Rouse-like behavior…

Soft Condensed Matter · Physics 2021-09-23 Shota Goto , Kang Kim , Nobuyuki Matubayasi

The dynamics of the DNA denaturation is studied using the Peyrard-Bishop-Dauxois model. The denaturation rate of double stranded polymers decreases exponentially as function of length below the denaturation temperature. Above Tc, the rate…

Biological Physics · Physics 2015-06-04 Titus S. van Erp , Michel Peyrard

We report on a computational study of the statics and dynamics of long flexible linear polymers that spontaneously knot and unknot. Specifically, the equilibrium self-entanglement properties, such as the knotting probability, knot length…

Soft Condensed Matter · Physics 2013-04-15 Luca Tubiana , Angelo Rosa , Filippo Fragiacomo , Cristian Micheletti

We use lattice-Boltzmann molecular dynamics (LBMD) simulations to study the compression of a confined polymer immersed in a fluid and pushed by a large spherical colloid with a diameter comparable to the channel width. We examined the…

Soft Condensed Matter · Physics 2024-06-24 Setarehalsadat Changizrezaei , Mikko Karttunen , Colin Denniston

We investigate the Rouse dynamics of a flexible ring polymer with a prime knot. Within a Monte Carlo approach, we locate the knot, follow its diffusion, and observe the fluctuations of its length. We characterise a topological time scale,…

Statistical Mechanics · Physics 2007-05-23 Enzo Orlandini , Attilio L. Stella , Carlo Vanderzande , Francesco Zonta

We investigate the statistical mechanics of a torsionally constrained polymer. The polymer is modeled as a fluctuating rod with bend stiffness A kT and twist stiffness C kT. In such a model, thermal bend fluctuations couple geometrically to…

Soft Condensed Matter · Physics 2009-10-30 J. David Moroz , Philip Nelson

A discrete model for the sintering of polydisperse, inhomogeneous arrays of cylinders is presented with empirical contact force-laws, taking into account plastic deformations, cohesion, temperature dependence (melting), and long-time…

Statistical Mechanics · Physics 2007-05-23 Stefan Luding , Karsten Manetsberger , Johannes Müllers

Taking into account the nonequivalence of fixed-force and fixed-length ensembles in the weak-force regime, equations of state are derived that describe the equilibrium extension or compression of an ideal Gaussian polymer chain in response…

Soft Condensed Matter · Physics 2007-05-23 Richard M. Neumann

We report on an extensive study of craze formation in glassy polymers. Molecular dynamics simulations of a coarse-grained bead-spring model were employed to investigate the molecular level processes during craze nucleation, widening, and…

Materials Science · Physics 2009-11-10 Joerg Rottler , Mark O. Robbins

By means of computer simulations and solution of the equations of the Mode Coupling Theory (MCT), we investigate the role of the intramolecular barriers on several dynamic aspects of non-entangled polymers. The investigated dynamic range…

Soft Condensed Matter · Physics 2015-05-18 Marco Bernabei , Angel J. Moreno , Emanuela Zaccarelli , Francesco Sciortino , Juan Colmenero
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