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We examine the reversible adsorption of spherical solutes on a random site surface in which the adsorption sites are uniformly and randomly distributed on a substrate. Each site can be occupied by one solute provided that the nearest…

Soft Condensed Matter · Physics 2008-05-23 J. Talbot , G. Tarjus , P. Viot

The vibrational dynamics of a model polymer glass is studied by Molecular Dynamics simulations. The focus is on the "soft" monomers with high participation to the lower-frequency vibrational modes contributing to the thermodynamic anomalies…

Soft Condensed Matter · Physics 2021-04-22 Carlo Andrea Massa , Francesco Puosi , Antonio Tripodo , Dino Leporini

We present an algorithm to simulate random sequential adsorption (random "parking") of discs on constant-curvature surfaces: the plane, sphere, hyperboloid, and projective plane, all embedded in three-dimensional space. We simulate complete…

Statistical Mechanics · Physics 2017-09-18 Elizabeth R. Chen , Miranda Holmes-Cerfon

We investigate Random Sequential Adsorption (RSA) on a random graph via the following greedy algorithm: Order the $n$ vertices at random, and sequentially declare each vertex either active or frozen, depending on some local rule in terms of…

Probability · Mathematics 2016-10-13 Souvik Dhara , Johan S. H. van Leeuwaarden , Debankur Mukherjee

The number of allowed configurations of a polymer is reduced by the presence of a repulsive surface resulting in an entropic force between them. We develop a method to calculate the entropic force, and detailed pressure distribution, for…

Statistical Mechanics · Physics 2014-02-11 Yosi Hammer , Yacov Kantor

We investigate numerically, using the bond-fluctuation model, the adsorption of many random AB--copolymers with excluded volume interactions at the interface between two solvents. We find two regimes, controlled by the total number of…

Soft Condensed Matter · Physics 2007-05-23 Gongwen Peng , Jens-Uwe Sommer , Alexander Blumen

The statistical mechanics of a linear non-interacting polymer chain with a large number of monomers is considered with fixed angular momentum. The radius of gyration for a linear polymer is derived exactly by functional integration. This…

Soft Condensed Matter · Physics 2013-05-29 Matthew Brunner , J. M. Deutsch

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 present a model of one-dimensional irreversible adsorption in which particles once adsorbed immediately shrink to a smaller size or expand to a larger size. Exact solutions for the fill factor and the particle number variance as a…

Disordered Systems and Neural Networks · Physics 2007-05-23 Arsen V. Subashiev , Serge Luryi

The phase diagram of unzipping of an adsorbed directed polymer in two dimensions in a random medium has been determined. Both the hard-wall and the soft-wall cases are considered. Exact solutions for the pure problem with different…

Statistical Mechanics · Physics 2009-11-11 Rajeev Kapri , Somendra M. Bhattacharjee

The adsorption of an ideal heteropolymer loop at a potential point well is investigated within the frameworks of a standard random matrix theory. On the basis of semi-analytical/semi-numerical approach the histogram of transition points for…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Naidenov , S. Nechaev

We study the percolation and jamming of rods ($k$-mers) on a square lattice that contains defects. The point defects are placed randomly and uniformly on the substrate before deposition of the rods. The general case of unequal probabilities…

We introduce a framework for adsorption of a single polymer in which the topology of the polymer is quenched before adsorption, in contrast to more standard adsorption models having annealed topology. Our "topology" refers either to the…

Mathematical Physics · Physics 2022-11-09 Neal Madras

We study the adsorption of polymer chains on a fluctuating surface. Physical examples are provided by polymer adsorption at the rough interface between two non-miscible liquids, or on a membrane. In a mean-field approach, we find that the…

Condensed Matter · Physics 2009-10-22 T. Garel , Mehran Kardar , H. Orland

Through extensive Monte Carlo simulations, we systematically study the effect of chain stiffness on the packing ability of linear polymers composed of hard spheres in extremely confined monolayers, corresponding effectively to 2D films.…

Standard models of sequential adsorption are implicitly formulated in a {\em scale invariant} form, by assuming adsorption on an infinite surface, with no characteristic length scales. In real situations, however, involving complex…

Soft Condensed Matter · Physics 2009-10-31 R. Pastor-Satorras , J. M. Rubi

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 have studied the adsorption of neutral polyampholytes on model charged surfaces that have been characterized by contact angle and streaming current measurements. The loop size distributions of adsorbed polymer chains have been obtained…

Soft Condensed Matter · Physics 2009-11-07 F. Ozon , J. -M. di Meglio , J. -F. Joanny

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

Using Monte Carlo simulations, we study the dynamic transitions in the unzipping of an adsorbed homogeneous polymer on a surface (or wall). We consider three different types of surfaces. One end of the polymer is always kept anchored, and…

Soft Condensed Matter · Physics 2022-07-25 Ramu Kumar Yadav
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