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In this work we have analyzed the adsorption-desorption kinetics in the framework of the lattice gas model. We have shown that the coefficients representing the transition probabilities must be carefully chosen even when they fulfill the…

Statistical Mechanics · Physics 2008-06-02 S. Manzi , R. E. Belardinelli , G. Costanza , V. D. Pereyra

We consider the response of an adsorbed polymer that is pulled by an AFM within a simple geometric framework. We separately consider the cases of i) fixed polymer-surface contact point, ii) sticky case where the polymer is peeled off from…

Soft Condensed Matter · Physics 2009-11-11 Andreas Serr , Roland R. Netz

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 construct the complete structural phase diagram of polymer adsorption at substrates with attractive stripe-like patterns in the parameter space spanned by the adsorption affinity of the stripes and temperature. Results were obtained by…

Statistical Mechanics · Physics 2014-04-14 Monika Möddel , Wolfhard Janke , Michael Bachmann

The development of a coherent conceptual basis for the treatment of non-linear microscopic phenomena, such as, hydrodynamic interaction, finite extensibility, excluded volume and internal viscosity, in molecular theories of dilute polymer…

Statistical Mechanics · Physics 2021-07-16 J. Ravi Prakash

Several progresses have been done very recently on models for the dynamics of one or more vortex filaments in three-dimensional fluids. In this article we survey the recent and previous results in this topic. We also present some new…

Analysis of PDEs · Mathematics 2012-02-14 Valeria Banica , Evelyne Miot

Surface soliton formation and lattice soliton dynamics at an interface between two inhomogeneous periodic media are studied in terms of an effective particle approach. The global reflection, transmission and trapping characteristics are…

Pattern Formation and Solitons · Physics 2009-11-13 Yannis Kominis , Kyriakos Hizanidis

What are the fundamental laws for the adsorption of charged polymers onto oppositely charged surfaces, for convex, planar, and concave geometries? This question is at the heart of surface coating applications, various complex formation…

Soft Condensed Matter · Physics 2015-03-09 Sidney J. de Carvalho , Ralf Metzler , Andrey G. Cherstvy

An overview of recent developments in \pythia~8 is given. First the new hard diffraction model, which is implemented as a part of the multiparton interactions (MPI) framework, is discussed. Then the new colour reconnection model, which…

High Energy Physics - Phenomenology · Physics 2016-04-28 Ilkka Helenius , Jesper R. Christiansen , Christine O. Rasmussen

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

Sensitivity analysis of the optimal solution in response surface methodology is studied and an explicit form of the effect of perturbation of the regression coefficients on the optimal solution is obtained. The characterisation of the…

Statistics Theory · Mathematics 2012-03-27 Jose A. Diaz-Garcia , Jose E. Rodriguez , Rogelio Ramos-Quiroga

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

We consider self-avoiding lattice polygons, in the hypercubic lattice, as a model of a ring polymer adsorbed at a surface and either being desorbed by the action of a force, or pushed towards the surface. We show that, when there is no…

Statistical Mechanics · Physics 2018-02-14 AJ Guttmann , EJ Janse van Rensburg , I Jensen , SG Whittington

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

We solve exactly a Terrace-Ledge-Kink (TLK) model describing a crystal surface at a microscopic level. We show that there is a faceting transition driven either by temperature or by the chemical potential that controls the slope of the…

Statistical Mechanics · Physics 2009-10-31 D. B. Abraham , F. H. L. Essler , F. T. Latremoliere

It is shown that experimentally obtained isotherms of adsorption on solid substrates may be completely reconciled with Lifshitz theory when thermal fluctuations are taken into account. This is achieved within the framework of a…

Statistical Mechanics · Physics 2009-11-07 Jens Vorberg , Stephan Herminghaus , Klaus Mecke

We develop a classical microscopic model of a dielectric. The model features nonlinear interaction terms between polarizable dipoles and lattice vibrations. The lattice vibrations are found to act as a pseudo-reservoir, giving broadband…

Optics · Physics 2016-07-20 R. J. Churchill , T. G. Philbin

We describe the percolation model and some of the principal results and open problems in percolation theory. We also discuss briefly the spectacular recent progress by Lawler, Schramm, Smirnov and Werner towards understanding the phase…

Probability · Mathematics 2007-05-23 Harry Kesten

The conformational behavior of a coarse-grained finite polymer chain near an attractive spherical surface was investigated by means of multicanonical Monte Carlo computer simulations. In a detailed analysis of canonical equilibrium data…

Soft Condensed Matter · Physics 2018-01-03 Handan Arkin , Wolfhard Janke

Models of adhesion of extended particles on linear and planar substrates are of interest in interpreting surface deposition in colloid, polymer, and certain biological systems. An introduction is presented to recent theoretical advances in…

Condensed Matter · Physics 2016-11-03 Vladimir Privman