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A formula is derived for stiffness of a polymer chain in terms of the distribution function of end-to-end vectors. This relationship is applied to calculate the stiffness of Gaussian chains (neutral and carrying electric charges at the…

Statistical Mechanics · Physics 2007-05-23 A. D. Drozdov

The 2-fold degeneracy of the ground state of a quasi-one-dimensional system allows it to support topological excitations such as solitons. We study the combined effects of Coulomb interactions and confinement due to interchain coupling on…

Statistical Mechanics · Physics 2009-11-07 S Teber , B P Stojkovic , S A Brazovskii , A R Bishop

This paper addresses the numerical simulation of self-piercing rivetting processes to join fibre reinforced polymers and sheet metals. Special emphasis is placed on the modelling of the deformation and failure behaviour of the composite…

We present a scaling theory describing the collapse of a homopolymer chain in poor solvent. At time t after the beginning of the collapse, the original Gaussian chain of length N is streamlined to form N/g segments of length R(t), each…

Soft Condensed Matter · Physics 2009-11-07 Cameron F. Abrams , Namkyung Lee , Sergei Obukhov

We make use of the previously developed formalism for a monomer ensemble and include angular dependence of the segments of the polymer chains thus described. In particular we show how to deal with stiffness when the polymer chain is…

Soft Condensed Matter · Physics 2015-06-24 K. K. Muller-Nedebock , H. L. Frisch , J. K. Percus

The two key phenomena occurring in the process of ceramic powder compaction are the progressive gain in cohesion and the increase of elastic stiffness, both related to the development of plastic deformation. The latter effect is an example…

Mathematical Physics · Physics 2015-05-20 Andrea Piccolroaz , Davide Bigoni , Alessandro Gajo

Constitutive equations are derived for the viscoelastic response of rubbery polymers at finite strains. A polymer is thought of as a network of long chains connected to temporary junctions. At a random time, a chain detaches from a…

Soft Condensed Matter · Physics 2007-05-23 Aleksey D. Drozdov , Al Dorfmann

A thermodynamically related model is developed for describing elastic rubber-like behavior of amorphous and crystallizing polymers and demonstrated on example of simple extension. Both the “entropic” and “energetic”…

Soft Condensed Matter · Physics 2007-05-23 Arkady I. Leonov

We present simulations on a binary blend of bead-spring polymer chains. The introduction of monomer size disparity yields very different relaxation times for each component of the blend. Competition between two different arrest mechanisms,…

Soft Condensed Matter · Physics 2007-05-23 Angel J. Moreno , Juan Colmenero

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…

Soft Condensed Matter · Physics 2013-06-13 Robert D. Groot

The mechanical properties of many supramolecular materials are often determined by non-covalent interactions that arise from an interplay between chemical composition and molecular microstructural organization. The reversible nature of…

Soft Condensed Matter · Physics 2021-05-25 Steven van Kesteren , Tatiana Nikolaeva , Henk Van As , Joshua A. Dijksman

. We consider three dimensional model of the Gaussian polymer chain in the presence of defects to understand the formation of a polymer aggregate where the aggregate is induced by the defects. The defects are acting as an attractive centres…

Soft Condensed Matter · Physics 2021-09-29 Pramod Kumar Mishra

We investigate the static and dynamic properties of dendrimers diffusing through a network of linear associative polymers using coarse-grained Brownian dynamics simulations. Both dendrimers and network chains are modelled as bead-spring…

Soft Condensed Matter · Physics 2025-11-26 Silpa Mariya , Jeremy J. Barr , P. Sunthar , J. Ravi Prakash

We suggest a theoretical description of the force-induced translocation dynamics of a polymer chain through a nanopore. Our consideration is based on the tensile (Pincus) blob picture of a pulled chain and the notion of propagating front of…

Soft Condensed Matter · Physics 2012-04-17 J. L. A. Dubbeldam , V. G. Rostiashvili , A. Milchev , T. A. Vilgis

The flow of fluids in channels, pipes or ducts, as in any other wall-bounded flow (like water along the hulls of ships or air on airplanes) is hindered by a drag, which increases many-folds when the fluid flow turns from laminar to…

Chaotic Dynamics · Physics 2009-11-13 Itamar Procaccia , Victor S. L'vov , Roberto Benzi

Filamentous bio-materials such as fibrin or collagen networks exhibit an enormous stiffening of their elastic moduli upon large deformations. This pronounced nonlinear behavior stems from a significant separation between the stiffnesses…

Soft Condensed Matter · Physics 2019-05-21 Robbie Rens , Carlos Villarroel , Gustavo Düring , Edan Lerner

We theoretically investigate the kinetics of the folding transition of a single semiflexible polymer. In the folding transition, the growth rate decrease with an increase in the number of monomers in a collapsed domain, suggesting that the…

Soft Condensed Matter · Physics 2009-11-13 Natsuhiko Yoshinaga

This study focused on the expansion in polydisperse granular materials owing to mechanical annealing, which involved compression and decompression. Following minor annealing, the polydisperse systems exhibited compaction as well as the…

Soft Condensed Matter · Physics 2024-09-04 Daisuke S. Shimamoto , Miho Yanagisawa

When a flexible polymer is sucked into a localized small hole, the chain can initially respond only locally and the sequential nonequilibrium processes follow in line with the propagation of the tensile force along the chain backbone. We…

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

Soft membranes are commonly employed in shape-morphing applications, where the material is programmed to achieve a target shape upon activation by an external trigger, and as coating layers that alter the surface characteristics of bulk…

Soft Condensed Matter · Physics 2016-02-05 Alessandro Lucantonio , Luciano Teresi , Antonio DeSimone