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Related papers: Force-induced desorption of $3$-star polymers: a s…

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A phase diagram for a surface interacting long flexible partially directed polymer chain in a two-dimensional poor solvent where the possibility of collapse in the bulk exists is determined using exact enumeration method. We used a model of…

Statistical Mechanics · Physics 2020-12-29 Pramod K Mishra , Yashwant Singh

Polymer chains undergoing a continuous adsorption-desorption transition are studied through extensive computer simulations. A three-dimensional self-avoiding walk lattice model of a polymer chain grafted onto a surface has been treated for…

Statistical Mechanics · Physics 2018-05-30 P. H. L. Martins , J. A. Plascak , M. Bachmann

We explain a unified approach to a study of ballistic phase for a large family of self-interacting random walks with a drift and self-interacting polymers with an external stretching force. The approach is based on a recent version of the…

Probability · Mathematics 2011-08-25 Dmitry Ioffe , Yvan Velenik

Linear polymers adsorbing on a wall can be modelled by half-space self-avoiding walks adsorbing on a line in the square lattice, or on a surface in the cubic lattice. In this paper a numerical approach based on the GAS algorithm is used to…

Statistical Mechanics · Physics 2016-04-20 Esaias J. Janse van Rensburg

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

We consider the properties of a self-avoiding polymer chain, adsorbed on a solid attractive substrate which is attached with one end to a pulling force. The conformational properties of such chain and its phase behavior are treated within a…

Soft Condensed Matter · Physics 2009-04-01 S. Bhattacharya , V. G. Rostiashvili , A. Milchev , T. A. Vilgis

Prudent walks are self-avoiding walks which cannot step towards an already occupied vertex. We introduce a new model of adsorbing prudent walks on the square lattice, which start on an impenetrable surface and accrue a fugacity $a$ with…

Mathematical Physics · Physics 2021-12-20 Nicholas R. Beaton , Gerasim K. Iliev

In order to study long chain polymers many lattice models accommodate a pulling force applied to a particular part of the chain, often a free endpoint. This is in addition to well-studied features such as energetic interaction between the…

Statistical Mechanics · Physics 2023-07-19 C. J. Bradly , A. L. Owczarek

We deduce the qualitative phase diagram of a long flexible neutral polymer chain immersed in a poor solvent near an attracting surface using phenomenological arguments. The actual positions of the phase boundaries are estimated numerically…

Statistical Mechanics · Physics 2009-11-07 R. Rajesh , Deepak Dhar , Debaprasad Giri , Sanjay Kumar , Yashwant Singh

The force-assisted desorption kinetics of a macromolecule from adhesive surface is studied theoretically, using the notion of tensile (Pincus) blobs, as well as by means of Monte-Carlo (MC) and Molecular Dynamics (MD) simulations. We show…

Soft Condensed Matter · Physics 2015-06-04 J. Paturej , A. Milchev , V. G. Rostiashvili , T. A. Vilgis

We consider the model of self-avoiding walks on the $d$-dimensional hypercubic lattice interacting with a $d^*$-dimensional defect, where $1\leq d^*<d$. Such an interaction can be attractive or repulsive, and is controlled by a Boltzmann…

Statistical Mechanics · Physics 2014-09-02 Nicholas R. Beaton

A recently developed model of random walks on a $D$-dimensional hyperspherical lattice, where $D$ is {\sl not} restricted to integer values, is used to study polymer growth near a $D$-dimensional attractive hyperspherical boundary. The…

High Energy Physics - Lattice · Physics 2010-11-19 Carl M. Bender , Peter N. Meisinger , Stefan Boettcher

In this paper we present simulations of a surface-adsorbed polymer subject to an elongation force. The polymer is modelled by a self-avoiding walk on a regular lattice. It is confined to a half-space by an adsorbing surface with attractions…

Statistical Mechanics · Physics 2007-05-23 J. Krawczyk , T. Prellberg , A. Rechnitzer , A. L. Owczarek

We formulate and characterize a model to describe the dynamics of semiflexible polymers in the presence of activity due to motor proteins attached irreversibly to a substrate, and a transverse pulling force acting on one end of the…

Biological Physics · Physics 2016-02-12 Abhishek Chaudhuri , Debasish Chaudhuri

Polymers in confined spaces are compressed and have reduced conformational entropy, and will partially or fully escape from confinement if conditions are suitable. This is in particular the case for a polymer grafted in a pore. The escape…

Soft Condensed Matter · Physics 2024-08-05 CJ Bradly , EJ Janse van Rensburg

Polymers in confined spaces lose conformational entropy. This induces a net repulsive entropic force on the walls of the confining space. A model for this phenomenon is a lattice walk between confining walls, and in this paper a model of an…

Statistical Mechanics · Physics 2016-05-04 E. J. Janse van Rensburg , T. Prellberg

We show that when a self-avoiding polymer chain is pulled off a sticky surface by force applied to the end segment, it undergoes a first-order thermodynamic phase transition albeit without phase coexistence. This unusual feature is…

Soft Condensed Matter · Physics 2009-09-15 A. Milchev , V. G. Rostiashvili , S. Bhattacharya , T. A. Vilgis

We study via Monte Carlo simulation a generalisation of the so-called vertex interacting self-avoiding walk (VISAW) model on the square lattice. The configurations are actually not self-avoiding walks but rather restricted self-avoiding…

Statistical Mechanics · Physics 2016-10-27 A Bedini , A L Owczarek , T Prellberg

We use the lattice model of directed walks to investigate the conformational as well as the adsorption properties of a semiflexible homopolymer chain immersed in a good solvent in two and three dimensions. To account for the stiffness in…

Statistical Mechanics · Physics 2009-11-07 P. K. Mishra , S. Kumar , Y. Singh

Self-avoiding walks are studied on the 3-simplex fractal lattice as a model of linear polymer conformations in a dilute, non-homogeneous solution. A model is supplemented with bending energies and attractive-interaction energies between…

Statistical Mechanics · Physics 2023-02-21 Dušanka Marčetić