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Within self-consistent field theory we study the phase behavior of a symmetrical binary AB polymer blend confined into a thin film. The film surfaces interact with the monomers via short range potentials. One surface attracts the A…

Statistical Mechanics · Physics 2007-05-23 M. Mueller , K. Binder , E. V. Albano

Two ring polymers close to each other in space may be either in a segregated phase if there is a strong repulsion between monomers in the polymers, or intermingle in a mixed phase if there is a strong attractive force between the monomers.…

Soft Condensed Matter · Physics 2022-11-23 EJ Janse van Rensburg , E Orlandini , MC Tesi , SG Whittington

A system of two self and mutual interacting ring polymers, close together in space, can display several competing equilibrium phases and phase transitions. Using Monte Carlo simulations and combinatorial arguments on a corresponding lattice…

Soft Condensed Matter · Physics 2026-04-17 EJ Janse van Rensburg , E Orlandini , MC Tesi , SG Whittington

We consider self-avoiding lattice polygons, in the hypercubic lattice, as a model of a ring polymer adsorbed at a surface and either being desorbed by the action of a force, or pushed towards the surface. We show that, when there is no…

Statistical Mechanics · Physics 2018-02-14 AJ Guttmann , EJ Janse van Rensburg , I Jensen , SG Whittington

We present the exact solutions of various directed walk models of polymers confined to a slit and interacting with the walls of the slit via an attractive potential. We consider three geometric constraints on the ends of the polymer and…

Statistical Mechanics · Physics 2009-11-11 R Brak , A L Owczarek , A Rechnitzer , S G Whittington

We study a continuum model of overdamped self-propelled particles with an aligning interaction in two dimensions. By combining analytical and numerical work, we map out the phase diagram for generic parameters. We find that the system…

Biological Physics · Physics 2011-12-30 Arvind Gopinath , Michael F. Hagan , M. Cristina Marchetti , Aparna Baskaran

We consider the phase transition induced by compressing a self-avoiding walk in a slab where the walk is attached to both walls of the slab in two and three dimensions, and the resulting phase once the polymer is compressed. The process of…

Statistical Mechanics · Physics 2025-11-19 C J Bradly , N R Beaton , A L Owczarek

We analyze the structural behavior of a single polymer chain grafted to an attractive, flexible surface. Our model is composed of a coarse-grained bead-and-spring polymer and a tethered membrane. By means of extensive parallel tempering…

Soft Condensed Matter · Physics 2011-09-26 Steffen Karalus , Wolfhard Janke , Michael Bachmann

We use Brownian dynamics simulations and advanced topological profiling methods to characterize the out-of-equilibrium evolution of self-entanglement in linear polymers confined into nano-channels and under periodic compression. We…

Soft Condensed Matter · Physics 2020-06-22 Davide Michieletto , Enzo Orlandini , Matthew S Turner , Cristian Micheletti

The present paper is dedicated to the 2-dimensional Interacting Partially Directed Self Avoiding Walk constrained to remain in the upper-half plan and interacting with the horizontal axis. The model has been introduced in \cite{F90} to…

Probability · Mathematics 2020-09-22 Alexandre Legrand , Nicolas Pétrélis

We study phase separation frustrated by the long-range Coulomb interaction in two dimensional electronic systems with emphasys in the case of a metallic and an insulating phase. We find that two-dimensional systems are more prone to…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 C. Ortix , J. Lorenzana , C. Di Castro

We investigate the translocation dynamics of a folded linear polymer which is pulled through a nanopore by an external force. To this end, we generalize the iso-flux tension propagation (IFTP) theory for end-pulled polymer translocation to…

Soft Condensed Matter · Physics 2019-12-18 Bappa Ghosh , Jalal Sarabadani , Srabanti Chaudhury , Tapio Ala-Nissila

We use complete enumeration and Monte Carlo techniques to study two-dimensional self-avoiding polymer chains with quenched ``charges'' $\pm 1$. The interaction of charges at neighboring lattice sites is described by $q_i q_j$. We find that…

Soft Condensed Matter · Physics 2009-10-30 Ido Golding , Yacov Kantor

In this article we study the effect of a delta-interaction on a polymerized membrane of arbitrary internal dimension D. Depending on the dimensionality of membrane and embedding space, different physical scenarios are observed. We emphasize…

Condensed Matter · Physics 2009-11-07 Henryk A. Pinnow , Kay Joerg Wiese

We study numerically a model of non-aligning self-propelled particles interacting through steric repulsion, which was recently shown to exhibit active phase separation in two dimensions in the absence of any attractive interaction or…

Soft Condensed Matter · Physics 2014-06-03 Yaouen Fily , Silke Henkes , M. Cristina Marchetti

We present an analysis of a partially directed walk model of a polymer which at one end is tethered to a sticky surface and at the other end is subjected to a pulling force at fixed angle away from the point of tethering. Using the kernel…

Soft Condensed Matter · Physics 2015-05-19 Judy-anne Osborn , Thomas Prellberg

Two phase picture is a simple and effective methodology to capture the nonequilibrium dynamics of polymer associated with tension propagation. When applying it to the driven translocation process, there is a point to be noted, as briefly…

Soft Condensed Matter · Physics 2012-11-26 Takuya Saito , Takahiro Sakaue

The non-equilibrium structural and dynamical properties of semiflexible polymers confined to two dimensions are investigated by molecular dynamics simulations. Three different scenarios are considered: The force-extension relation of…

Soft Condensed Matter · Physics 2013-01-08 A. Lamura , R. G. Winkler

We present a theoretical model for predicting the phase behavior of polymer solutions in which phase separation competes with oligomerization. Specifically, we consider scenarios in which the assembly of polymer chains into stoichiometric…

Soft Condensed Matter · Physics 2024-07-31 Tianhao Li , W. Benjamin Rogers , William M. Jacobs

We study phase separation in two dimensions in the scaling limit below criticality. The general form of the magnetization profile as the volume goes to infinity is determined exactly within the field theoretical framework which explicitly…

High Energy Physics - Theory · Physics 2012-10-31 Gesualdo Delfino , Jacopo Viti