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We analyze the phase diagrams of self-avoiding walk models of uniform branched polymers adsorbed at a surface and subject to an externally applied vertical pulling force which, at critical values, desorbs the polymer. In particular, models…

Statistical Mechanics · Physics 2019-03-27 EJ Janse van Rensburg , SG Whittington

We study the phase behavior of a symmetric binary polymer blend which is confined into a thin film. The film surfaces interact with the monomers via short range potentials. We calculate the phase behavior within the self-consistent field…

Statistical Mechanics · Physics 2009-10-31 M. Mueller , E. V. Albano , K. Binder

The collapse transition of an isolated polymer has been modelled by many different approaches, including lattice models based on self-avoiding walks and self-avoiding trails. In two dimensions, previous simulations of kinetic growth trails,…

Statistical Mechanics · Physics 2009-11-11 A. L. Owczarek , T. Prellberg

We show the impact that scalar structures deformation and mixing has on the fate of plumes of waterborne contaminant transported through a chemically heterogeneous, partially adsorbing porous medium. Via pore-scale simulations, we follow…

Fluid Dynamics · Physics 2023-02-15 Dario Maggiolo , Oskar Modin , Angela Sasic Kalagasidis

The scaling behavior of linear polymers in disordered media modelled by self-avoiding random walks (SAWs) on the backbone of two- and three-dimensional percolation clusters at their critical concentrations p_c is studied. All possible SAW…

Condensed Matter · Physics 2009-10-31 A. Ordemann , M. Porto , H. E. Roman , S. Havlin , A. Bunde

In the present paper, we consider the interacting partially-directed self-avoiding walk (IPDSAW) attracted by a vertical wall. The IPDSAW was introduced by Zwanzig and Lauritzen (J. Chem. Phys., 1968) as a manner of investigating the…

Probability · Mathematics 2025-02-07 Elric Angot , Nicolas Pétrélis , Julien Poisat

We study various self-avoiding walks (SAWs) which are constrained to lie in the upper half-plane and are subjected to a compressive force. This force is applied to the vertex or vertices of the walk located at the maximum distance above the…

Mathematical Physics · Physics 2021-12-20 Nicholas R. Beaton , Anthony J. Guttmann , Iwan Jensen , Gregory F. Lawler

We study the effect of a gradient of solvent quality on the coil-globule transition for a polymer in a narrow pore. A simple self-attracting self-avoiding walk model of a polymer in solution shows that the variation in the strength of…

Soft Condensed Matter · Physics 2015-06-17 S Nath , D P Foster , D Giri , S Kumar

The phase diagram and surface critical behaviour of the vertex-interacting self-avoiding walk are examined using transfer matrix methods extended using DMRG and coupled with finite-size scaling. Particular attention is paid to the critical…

Statistical Mechanics · Physics 2015-06-12 Damien P. Foster , Claire Pinettes

Insoluble surfactant monolayers at the air/water interface undergo a phase transition from a high-temperature homogeneous state to a low-temperature demixed state, where dilute and dense phases coexist. Alternatively, the transition from a…

Soft Condensed Matter · Physics 2007-05-23 X. Chatellier , D. Andelman

Folklore has, that the universal scaling properties of linear polymers in disordered media are well described by the statistics of self-avoiding walks Folklore has, that the universal scaling properties of linear polymers in disordered…

Statistical Mechanics · Physics 2015-06-25 Hans-Karl Janssen , Olaf Stenull

The qualitative solvent- and temperature-dependent conformational behavior of a peptide in the proximity of solid substrates with different adsorption properties is investigated by means of a simple lattice model. The resulting pseudophase…

Soft Condensed Matter · Physics 2007-10-25 Michael Bachmann , Wolfhard Janke

We study a lattice model of a magnetic polymer where the XY spin variables are located on a self-avoiding walk (SAW) on a regular lattice in two and three dimensions. We consider the regime where both spins and conformations are dynamic,…

Statistical Mechanics · Physics 2024-05-14 Kamilla Faizullina , Evgeni Burovski

We have performed chain-growth simulations of minimalistic hybrid lattice models for polymers interacting with interfaces of attractive solid substrates in order to gain insights into the conformational transitions of the polymers in the…

Soft Condensed Matter · Physics 2011-07-04 Michael Bachmann , Wolfhard Janke

Stretched polymers with attractive interaction are studied in two and three dimensions. They are described by biased self-avoiding random walks with nearest neighbour attraction. The bias corresponds to opposite forces applied to the first…

Statistical Mechanics · Physics 2009-11-07 Peter Grassberger , Hsiao-Ping Hsu

In this paper, we investigate a model for a $1+1$ dimensional self-interacting and partially directed self-avoiding walk, usually referred to by the acronym IPDSAW. The interaction intensity and the free energy of the system are denoted by…

Probability · Mathematics 2015-07-29 P. Carmona , G. B. Nguyen , N. Pétrélis

The surface critical behaviour of the interacting self-avoiding trail is examined using transfer matrix methods coupled with finite-size scaling. Particular attention is paid to the critical exponents at the ordinary and special points…

Statistical Mechanics · Physics 2015-05-19 Damien P Foster

We consider a self-avoiding walk on the $d$-dimensional hypercubic lattice, terminally attached to an impenetrable hyperplane at which it can adsorb. When a force is applied the walk can be pulled off the surface and we consider the…

Statistical Mechanics · Physics 2017-02-01 EJ Janse van Rensburg , SG Whittington

Magnetic polymers are examples of composite soft materials in which the competition between the large configurational entropy of the soft substrate (polymer) and the magnetic interaction may give rise to rich equilibrium phase diagrams as…

Soft Condensed Matter · Physics 2025-03-10 Alberto Raiola , Emanuele Locatelli , Davide Marenduzzo , and Enzo Orlandini

There have been separate studies of the polymer collapse transition, where the collapse was induced by two different types of attraction. In each case, the configurations of the polymer were given by the same subset of random walks being…

Statistical Mechanics · Physics 2015-06-17 Andrea Bedini , Aleksander L Owczarek , Thomas Prellberg