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Related papers: Polymer adsorption on a fractal substrate: numeric…

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Connectedness percolation phenomena in the two-dimensional (2D) packing of binary mixtures of disks with different diameters were studied numerically. The packings were produced using random sequential adsorption (RSA) model with…

Soft Condensed Matter · Physics 2024-04-02 N. I. Lebovka , M. R. Petryk , N. V. Vygornitskii

We demonstrate that the recently proposed pruned-enriched Rosenbluth method PERM (P. Grassberger, Phys. Rev. E, in press (1997)) leads to extremely efficient algorithms for the folding of simple model proteins. We test it on several models…

Statistical Mechanics · Physics 2007-05-23 Ugo Bastolla , Helge Frauenkron , Erwin Gerstner , Peter Grassberger , Walter Nadler

We present a percolation model that is inspired by recent works on immiscible two-phase flow in a mixed-wet porous medium made of a mixture of grains with two different wettability properties. The percolation model is constructed on a dual…

Statistical Mechanics · Physics 2025-09-24 Jnana Ranjan Das , Santanu Sinha , Alex Hansen , Sitangshu B. Santra

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

Cohesive particles form agglomerates that are usually very porous. Their geometry, particularly their fractal dimension, depends on the agglomeration process (diffusion-limited or ballistic growth by adding single particles or…

Soft Condensed Matter · Physics 2023-12-07 Dietrich E. Wolf , Thorsten Pöschel

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

Statistical Mechanics · Physics 2015-06-25 C. Oleyar , J. Talbot

A self-interacting polymer with one end attached to a sticky surface has been studied by means of a flat-histogram stochastic growth algorithm known as FlatPERM. We examined the four-dimensional parameter space of the number of monomers up…

Statistical Mechanics · Physics 2009-11-10 J. Krawczyk , A. L. Owczarek , T. Prellberg , A. Rechnitzer

We performed extensive Monte Carlo simulations of the irreversible adsorption of polydispersed disks inside the cells of a patterned substrate. The model captures relevant features of the irreversible adsorption of spherical colloidal…

Statistical Mechanics · Physics 2012-12-04 J. F. Marques , A. B. Lima , N. A. M. Araujo , A. Cadilhe

Jamming and percolation transitions in the standard random sequential adsorption of particles on regular lattices are characterized by a universal set of critical exponents. The universality class is preserved even in the presence of…

Statistical Mechanics · Physics 2021-04-28 Sumanta Kundu , Dipanjan Mandal

The behavior of annealed branched polymers near adsorbing surfaces plays a fundamental role in many biological and industrial processes. Most importantly single stranded RNA in solution tends to fold up and self-bind to form a highly…

Soft Condensed Matter · Physics 2016-08-10 Jef Wagner , Gonca Erdemci-Tandogan , Roya Zandi

Using extensive Monte Carlo simulations, we investigate the surface adsorption of self-avoiding trails on the triangular lattice with two- and three-body on-site monomer-monomer interactions. In the parameter space of two-body, three-body,…

Statistical Mechanics · Physics 2020-01-01 Nathann T. Rodrigues , Tiago J. Oliveira , Thomas Prellberg , Aleksander L. Owczarek

This report focuses on the dependencies for the center and radius of the confidence interval that arise when estimating the mass fractal dimensions of isotropic sampling clusters in the site percolation model.

Statistical Mechanics · Physics 2011-10-07 P. V. Moskalev , K. V. Grebennikov , V. V. Shitov

A random hopping on a fractal network with dimension slightly above one, $d = 1 + \epsilon$, is considered as a model of transport for conducting polymers with nonmetallic conductivity. Within the real space renormalization group method of…

Disordered Systems and Neural Networks · Physics 2009-10-28 A. N. Samukhin , V. N. Prigodin , L. Jastrabik , ;

We investigate the internal structure of a polymer during collapse from an expanded coil to a compact globule. Collapse is more probable in local regions of high curvature, so a smoothing of the fractal polymer structure occurs that…

Soft Condensed Matter · Physics 2008-11-07 G. E. Crooks , B. Ostrovsky , Y. Bar-Yam

The influence of geometry and morphology of superconducting structure on critical currents and magnetic flux trapping in percolative type-II superconductor is considered. The superconductor contains the clusters of a normal phase, which act…

Superconductivity · Physics 2009-11-07 Yuriy I. Kuzmin

We discuss the adsorption of semiflexible polymers to a planar attractive wall and focus on the questions of the adsorption threshold for polymers of {\it finite} length and their loop and tail distributions using both Monte-Carlo…

Soft Condensed Matter · Physics 2017-07-19 Tobias Alexander Kampmann , Jan Kierfeld

We analyze the recently proposed "pattern-matching" phase of a Gaussian random heteropolymer adsorbed on a disordered substrate [S. Srebnik, A.K. Chakraborty and E.I. Shakhnovich, Phys. Rev. Lett. 77, 3157 (1996)]. By mapping the problem to…

Statistical Mechanics · Physics 2009-10-30 T. Hwa , D. Cule

We investigate the geometry of a critical system undergoing a second order thermal phase transition. Using a local description for the dynamics characterizing the system at the critical point T=Tc, we reveal the formation of clusters with…

High Energy Physics - Phenomenology · Physics 2009-10-31 N. G. Antoniou , Y. F. Contoyiannis , F. K. Diakonos

Numerical simulations by means of Monte Carlo method and finite-size scaling analysis have been performed to study the percolation behavior of linear $k$-mers (also denoted in the literature as rigid rods, needles, sticks) on…

Disordered Systems and Neural Networks · Physics 2012-12-14 Yuri Yu. Tarasevich , Nikolai I. Lebovka , Valeri V. Laptev

We study analytically and by means of an off-lattice bead-spring dynamic Monte Carlo simulation model the adsorption kinetics of a single macromolecule on a structureless flat substrate in the regime of strong physisorption. The underlying…

Soft Condensed Matter · Physics 2008-06-27 S. Bhattacharya , A. Milchev , V. G. Rostiashvili , A. Y. Grosberg , T. A. Vilgis