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A phase diagram for a surface-interacting long flexible polymer chain in a two-dimensional poor solvent where the possibility of collapse exists is determined using exact enumeration method. A model of a self-attracting self avoiding walk…

Statistical Mechanics · Physics 2007-05-23 Yashwant Singh , Debaprasad Giri , Sanjay Kumar

Forced desorption of a semiflexible polymer chain on a solid substrate is theoretically investigated. The pulling force versus displacement is studied for different adsorption energy and persistence length P. It is found that the…

Statistical Mechanics · Physics 2015-06-19 Pui-Man Lam , Yi Zhen

We study several models of staircase polygons on the $45^\circ$ rotated square lattice, which interact with an impenetrable surface while also being pushed towards or pulled away from the surface by a force. The surface interaction is…

Mathematical Physics · Physics 2017-11-22 Nicholas R. Beaton

We prove some theorems about self-avoiding walks attached to an impenetrable surface (i.e. positive walks) and subject to a force. Specifically we show the force dependence of the free energy is identical when the force is applied at the…

Statistical Mechanics · Physics 2016-02-17 EJ Janse van Rensburg , SG Whittington

A linear polymer grafted to a hard wall and underneath an AFM tip can be modelled in a lattice as a grafted lattice polymer (or self-avoiding walk) compressed underneath a piston approaching the wall. As the piston approaches the wall the…

Soft Condensed Matter · Physics 2023-08-16 EJ Janse van Rensburg

We investigate a lattice model of comb copolymers that can adsorb at a surface and that are subject to a force causing desorption. The teeth and the backbone of the comb are chemically distinct and can interact differently with the surface.…

Soft Condensed Matter · Physics 2023-12-05 EJ Janse van Rensburg , CE Soteros , SG Whittington

Advanced chain-growth computer simulation methodologies have been employed for a systematic statistical analysis of the critical behavior of a polymer adsorbing at a substrate. We use finitesize scaling techniques to investigate the…

Soft Condensed Matter · Physics 2017-05-09 J. A. Plascak , Paulo H. L. Martins , Michael Bachmann

In this paper we investigate the problem of a long self-avoiding polymer chain immersed in a random medium. We find that in the limit of a very long chain and when the self-avoiding interaction is weak, the conformation of the chain…

Disordered Systems and Neural Networks · Physics 2009-11-07 Yadin Y. Goldschmidt , Yohannes Shiferaw

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

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

The thermally assisted detachment of a self-avoiding polymer chain from an adhesive surface by an external force applied to one of the chain ends is investigated. We perform our study in the "fixed height" statistical ensemble where one…

Soft Condensed Matter · Physics 2009-08-13 S. Bhattacharya , A. Milchev , V. G. Rostiashvili , T. A. Vilgis

A wide variety of interacting particle assemblies driven by an external force are characterized by a transition between a blocked and a moving phase. The origin of this deblocking transition can be traced back to the presence of either…

Statistical Mechanics · Physics 2007-05-23 M. -Carmen Miguel , Jose S. Andrade , Stefano Zapperi

In a recent letter, a simple method was proposed to generate solvable models that predict the critical properties of statistical systems in hyperspherical geometries. To that end, it was shown how to reduce a random walk in $D$ dimensions…

High Energy Physics - Lattice · Physics 2018-07-06 S. Boettcher

We consider forces acting on objects immersed in, or attached to, long fluctuating polymers. The confinement of the polymer by the obstacles results in polymer-mediated forces that can be repulsive (due to loss of entropy) or attractive (if…

Statistical Mechanics · Physics 2017-08-28 Yacov Kantor , Mehran Kardar

Microswimmers and active colloids often move in confined systems, including those involving interfaces. Such interfaces, especially at the microscale, may deform in response to the stresses of the flow created by the active particle. We…

Soft Condensed Matter · Physics 2026-01-14 Adam Hitin Bialus , Bhargav Rallabandi , Naomi Oppenheimer

We use a one-dimensional random walk on $D$-dimensional hyper-spheres to determine the critical behavior of statistical systems in hyper-spherical geometries. First, we demonstrate the properties of such walk by studying the phase diagram…

High Energy Physics - Lattice · Physics 2009-10-22 S. Boettcher

A linear copolymer made of two reciprocally attracting N-monomer blocks collapses to a compact phase through a novel transition, whose exponents are determined with extensive MC simulations in two and three dimensions. In the former case,…

Soft Condensed Matter · Physics 2009-10-31 E. Orlandini , F. Seno , A. L. Stella

The phase behavior of symmetric diblock copolymers under three-dimensional (3D) soft confinement is investigated using the self-consistent field theory. The soft confinement is realized in binary blends composed AB diblock copolymers and C…

Soft Condensed Matter · Physics 2024-08-28 Zhijuan He , Jin Huang , Kai Jiang , An-Chang Shi

Dielectric relaxation spectra of block polymers containing sequential type-A dipoles are considered. Spectra of a specific set of block copolymers can be combined to isolate the dynamic cross-correlation between the motions of two distinct…

Soft Condensed Matter · Physics 2013-05-29 George D. J. Phillies

The adsorption of mixtures of charged polymers onto solid surfaces presents a big interest in different technological and industrial fields, and in particular, in cosmetics. This requires to deepen on the most fundamental physico-chemical…