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We introduce a new disorder regime for directed polymers in dimension $1+1$ that sits between the weak and strong disorder regimes. We call it the intermediate disorder regime. It is accessed by scaling the inverse temperature parameter…

Probability · Mathematics 2014-03-28 Tom Alberts , Konstantin Khanin , Jeremy Quastel

We study electronic transport properties of disordered polymers in the presence of both uncorrelated and short-range correlated impurities. In our procedure, the actual physical potential acting upon the electrons is replaced by a set of…

Condensed Matter · Physics 2009-10-22 Francisco Dominguez-Adame , Enrique Diez , Angel Sanchez

We determine the scaling exponents of polymer translocation (PT) through a nanopore by extensive computer simulations of various microscopic models for chain lengths extending up to N=800 in some cases. We focus on the scaling of the…

The adhesion between a polymer melt and substrate is studied in the presence of chemically attached chains on the substrate surface. Extensive molecular dynamics simulations have been carried out to study the effect of temperature, tethered…

Materials Science · Physics 2016-08-31 Scott W. Sides , Gary S. Grest , Mark J. Stevens

The properties of semidilute polymer solutions are investigated at equilibrium and under shear flow by mesoscale simulations, which combine molecular dynamics simulations and the multiparticle collision dynamics approach. In semidilute…

Soft Condensed Matter · Physics 2015-03-19 Chien-Cheng Huang , Roland G. Winkler , Godehard Sutmann , Gerhard Gompper

A directed polymer is allowed to branch, with configurations determined by global energy optimization and disorder. A finite size scaling analysis in 2D shows that, if disorder makes branching more and more favorable, a critical transition…

Statistical Mechanics · Physics 2016-08-31 Giovanni Sartoni , Attilio L. Stella

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

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…

Soft Condensed Matter · Physics 2007-09-17 B. Obermayer , O. Hallatschek , E. Frey , K. Kroy

We study flexible polymer macromolecules in a crowded (porous) environment, modelling them as self-attracting self-avoiding walks (SASAW) on site-diluted percolative lattices in space dimensions d=2, 3. The influence of stretching force on…

Soft Condensed Matter · Physics 2009-12-09 V. Blavatska , W. Janke

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…

Probability · Mathematics 2011-08-25 Ostap Hryniv , Yvan Velenik

We consider the thermal breakage of a tethered polymer chain of discrete segments coupled by Morse potentials under constant tensile stress. The chain dynamics at the onset of fracture is studied analytically by Kramers-Langer…

Soft Condensed Matter · Physics 2010-06-24 A. Ghosh , D. I. Dimitrov , V. G. Rostiashvili , A. Milchev , T. A. Vilgis

We extend our previously developed coarse-graining strategy for linear polymers with a tunable number n of effective atoms (blobs) per chain [D'Adamo et al., J. Chem. Phys. 137, 4901 (2012)] to polymer systems in thermal crossover between…

Soft Condensed Matter · Physics 2014-11-07 Giuseppe D'Adamo , Andrea Pelissetto , Carlo Pierleoni

We propose a simple mean-field theory for the structure of ring polymer melts. By combining the notion of topological volume fraction and a classical van der Waals theory of fluids, we take into account many body effects of topological…

Soft Condensed Matter · Physics 2015-05-27 Takahiro Sakaue

By analyzing the real space nonequilibrium dynamics of polymers, we elucidate the physics of driven translocation and propose its dynamical scaling scenario analogous to that in the surface growth phenomena. We provide a detailed account of…

Soft Condensed Matter · Physics 2011-11-28 Takuya Saito , Takahiro Sakaue

We study the scaling properties of polymers in a d-dimensional medium with quenched defects that have power law correlations ~r^{-a} for large separations r. This type of disorder is known to be relevant for magnetic phase transitions. We…

Soft Condensed Matter · Physics 2009-11-07 Victoria Blavats'ka , Christian von Ferber , Yurij Holovatch

A brief review is presented of the scaling of complex fluids, polymers and polyelectrolytes in solution and in confined geometry, in thermodynamical, structural and rheology properties using equilibrium and nonequilibrium dissipative…

Soft Condensed Matter · Physics 2016-12-06 Armando Gama Goicochea

We study an ensemble of branched polymers which are embedded on other branched polymers. This is a toy model which allows us to study explicitly the reaction of a statistical system on an underlying geometrical structure, a problem of…

High Energy Physics - Theory · Physics 2015-06-26 Bergfinnur Durhuus , Thordur Jonsson

We study the peculiarities of stretching of globular polymer macromolecules in a disordered (crowded) environment, using the model of self-attracting self-avoiding walks on site-diluted percolative lattices in space dimensions d=3. Applying…

Soft Condensed Matter · Physics 2011-06-23 Viktoria Blavatska , Wolfhard Janke

We analyze the scaling laws for a set of two different species of long flexible polymer chains joined together at one of their extremities (copolymer stars) in space dimension D=2. We use a formerly constructed field-theoretic description…

Soft Condensed Matter · Physics 2009-11-07 Christian von Ferber , Yurij Holovatch

This paper has been withdrawn by the author, because it final version is published in: N. Fatkullin, C. Mattea, S. Stapf, Polymer 52 (2011) 3522.

Materials Science · Physics 2011-07-26 N. Fatkullin , C. Mattea , S. Stapf