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Physisorption or chemisorption from dilute polymer solutions often entails irreversible polymer-surface bonding. We present a theory of the non-equilibrium layers which result. While the density profile and loop distribution are the same as…

Soft Condensed Matter · Physics 2009-11-07 Ben O'Shaughnessy , Dimitrios Vavylonis

We present a unified scaling description for the dynamics of monomers of a semiflexible chain under good solvent condition in the free draining limit. We consider both the cases where the contour length $L$ is comparable to the persistence…

Biological Physics · Physics 2015-06-18 Aiqun Huang , Aniket Bhattacharya , Kurt Binder

We introduce a model for particles that are extremely polydisperse in size compared to monodisperse and bidisperse systems. In two dimensions (2D), size polydispersity inhibits crystallization and increases packing fraction at jamming…

Soft Condensed Matter · Physics 2025-12-10 Daisuke Shimamoto , Miho Yanagisawa

We perform simulations for long hard-sphere polymer chains using a recently developed binary-tree based Monte Carlo method. Systems in two to five dimensions with free and periodic boundary conditions and up to $10^7$ repeat units are…

Soft Condensed Matter · Physics 2023-12-01 Stefan Schnabel , Wolfhard Janke

Conformational properties of polymer melts confined between two hard structureless walls are investigated by Monte Carlo simulation of the bond-fluctuation model. Parallel and perpendicular components of chain extension, bond-bond…

Soft Condensed Matter · Physics 2009-11-10 A. Cavallo , M. Müller , J. P. Wittmer , A. Johner , K. Binder

We study the adsorption of flexible polymer macromolecules on a percolation cluster, formed by a regular two-dimensional disordered lattice at critical concentration p_c of attractive sites. The percolation cluster is characterized by a…

Disordered Systems and Neural Networks · Physics 2012-03-16 Viktoria Blavatska , Wolfhard Janke

We study the relaxation to equilibrium for a class linear one-dimensional Fokker-Planck equations characterized by a particular subcritical confinement potential. An interesting feature of this class of Fokker-Planck equations is that, for…

Analysis of PDEs · Mathematics 2021-03-23 G. Toscani , M. Zanella

Polymer mixtures fractionate between phases depending on their molecular weight. Consequently, by varying solvent conditions, a polydisperse polymer sample can be separated between phases so as to achieve a particular molecular weight…

Soft Condensed Matter · Physics 2026-04-10 J. Pedro de Souza , William M. Jacobs , Howard A. Stone

We use Monte Carlo simulations to study polymer melts consisting of fully flexible and moderately stiff chains in the bond fluctuation model at a volume fraction $0.5$. In order to reduce the local density fluctuations, we test a…

Soft Condensed Matter · Physics 2015-06-24 Hsiao-Ping Hsu

We study the energy structure and the coherent transfer of an extra electron or hole along aperiodic polymers made of $N$ monomers, with fixed boundaries, using B-DNA as our prototype system. We use a Tight-Binding wire model, where a site…

Soft Condensed Matter · Physics 2019-07-09 Marilena Mantela , Konstantinos Lambropoulos , Marina Theodorakou , Constantinos Simserides

We consider an inextensible, semiflexible polymer or worm-like chain which is confined in the transverse direction by a parabolic potential and subject to a longitudinal force at the ends, so that the polymer is stretched out and…

Soft Condensed Matter · Physics 2015-05-28 Theodore W. Burkhardt

Polymer's network is treated as an anisotropic fractal with fractional dimensionality D = 1 + \epsilon close to one. Percolation model on such a fractal is studied. Using the real space renormalization group approach of Migdal and Kadanoff…

Disordered Systems and Neural Networks · Physics 2009-10-30 A. N. Samukhin , V. N. Prigodin , L. Jastrabik

The properties of semiflexible polymers tethered by one end to an impenetrable wall and exposed to oscillatory shear flow are investigated by mesoscale simulations. A polymer, confined in two dimensions, is described by a linear bead-spring…

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

We have studied the compact phase conformations of semi-flexible polymer chains confined in two dimensional nonhomogeneous media, modelled by fractals that belong to the family of modified rectangular (MR) lattices. Members of the MR family…

Statistical Mechanics · Physics 2019-05-22 D Marčetić , S Elezović-Hadžić , N Adžić , I Živić

We consider equilibrium relaxation properties of the end-to-end distance and of principal components in a one-dimensional polymer chain model with nonlinear interaction between the beads. While for the single-well potentials these…

Soft Condensed Matter · Physics 2015-05-13 S. Fugmann , I. M. Sokolov

Small-angle scattering is a commonly used tool to analyze the dispersion of nanoparticles in all kinds of matrices. Besides some obvious cases, the associated structure factor is often complex and cannot be reduced to a simple interparticle…

Soft Condensed Matter · Physics 2023-10-24 Anne-Caroline Genix , Julian Oberdisse

We investigate the effect of polydispersity on the properties of curved linear brushes in good solvent and for molten brushes. To this end, we extend the strong stretching theory for polydisperse brushes to curved geometries and investigate…

Soft Condensed Matter · Physics 2024-06-25 Marios Giannakou , Oleg V. Borisov , Friederike Schmid

Motivated by recent nanofluidics experiments, we use Brownian dynamics and Monte Carlo simulations to study the conformation, organization and dynamics of two polymer chains confined to a single box-like cavity. The polymers are modeled as…

Soft Condensed Matter · Physics 2021-05-19 James M. Polson , Desiree A. Rehel

Recent developments of microscopic mechanical experiments allow the manipulation of individual polymer molecules in two main ways: \textit{uniform} stretching by external forces and \textit{non-uniform} stretching by external fields. Many…

Biological Physics · Physics 2015-06-11 Fabio Manca , Stefano Giordano , Pier Luca Palla , Fabrizio Cleri , Luciano Colombo

We revisit the classical problem of a polymer confined in a slit in both of its static and dynamic aspects. We confirm a number of well known scaling predictions and analyse their range of validity by means of comprehensive Molecular…