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Related papers: Systematic Microcanonical Analyses of Polymer Adso…

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A microscopic model of adsorption in cluster forming systems with competing interaction is considered. The adsorption process is described by the master equation and modelled by a kinetic Monte Carlo method. The evolution of the particle…

Soft Condensed Matter · Physics 2021-09-07 E. Bildanau , V. Vikhrenko

A microscopic density functional theory is used to investigate the adsorption of short chains on attractive solid surfaces. We analyze the structure of the adsorbed fluid and investigate how the wetting transition changes with the change of…

Soft Condensed Matter · Physics 2007-05-23 P. Bryk , S. Sokolowski

When studying the thermodynamic properties of mesoscopic systems the most appropriate microcanonical entropy is the volume entropy, i.e. the logarithm of the volume of phase space enclosed by the hypersurface of constant energy. For systems…

Statistical Mechanics · Physics 2007-09-10 Michele Campisi

For the estimation of transition points of finite elastic, flexible polymers with chain lengths from $13$ to $309$ monomers, we compare systematically transition temperatures obtained by the Fisher partition function zeros approach with…

Data Analysis, Statistics and Probability · Physics 2014-08-20 Julio C. S. Rocha , Stefan Schnabel , David P. Landau , Michael Bachmann

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

The behavior of a strongly charged polymer adsorbed on an oppositely charged surface of low-dielectric constant is formulated by the functional integral method. By separating the translational, conformational, and fluctuational degrees of…

Soft Condensed Matter · Physics 2007-05-23 Chi-Ho Cheng , Pik-Yin Lai

Two examples of Microcanonical Potts models, 2-dimensional nearest neighbor and mean field, are considered via exact enumeration of states and analytical asymptotic methods. In the interval of energies corresponding to a first order phase…

Statistical Mechanics · Physics 2009-11-07 I. Ispolatov , E. G. D. Cohen

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

We present results of a Monte Carlo study of temperature-programmed desorption in a model system with attractive lateral interactions. It is shown that even for weak interactions there are large shifts of the peak maximum temperatures with…

chem-ph · Physics 2009-10-28 A. P. J. Jansen

Adsorption of polymers to surfaces is crucial for understanding many fundamental processes in nature. Recent experimental studies indicate that the adsorption dynamics is dominated by non-equilibrium effects. We investigate the adsorption…

Soft Condensed Matter · Physics 2009-05-12 Debabrata Panja , Gerard T. Barkema , Anatoly B. Kolomeisky

By means of contact-density chain-growth simulations, we investigate a simple lattice model of a flexible polymer interacting with an attractive substrate. The contact density is a function of the numbers of monomer-substrate and…

Statistical Mechanics · Physics 2011-07-04 Michael Bachmann

Microcanonical analysis is a powerful method for studying phase transitions of finite-size systems. This method has been used so far only for studying phase transitions of equilibrium systems, which can be described by microcanonical…

Statistical Mechanics · Physics 2016-06-08 Julian Lee

This chapter deals with various aspects related to the adsorption of long chain-like macromolecules (polymers) onto solid surfaces. Physical aspects of the adsorption mechanism are elaborated mainly at thermodynamical equilibrium. The basic…

Soft Condensed Matter · Physics 2007-05-23 David Andelman , Roland R. Netz

The adsorption of polydisperse ideal polymer chains is shown to be sensitive to the large N tail of the distribution of chains. If and only if the number of chains decays more slowly than exponentially then there is an adsorption transition…

Soft Condensed Matter · Physics 2009-10-31 Richard P. Sear

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

We analyze the structural behavior of a single polymer chain grafted to an attractive, flexible surface. Our model is composed of a coarse-grained bead-and-spring polymer and a tethered membrane. By means of extensive parallel tempering…

Soft Condensed Matter · Physics 2011-09-26 Steffen Karalus , Wolfhard Janke , Michael Bachmann

Boltzmann's microcanonical entropy is the link between statistical physics and thermodynamics, forasmuch as the behavior of any thermodynamic quantity is directly related to the number of microscopic configurations. Accordingly, in this…

Statistical Mechanics · Physics 2022-11-24 L. S. Ferreira , L. N. Jorge , C. J. DaSilva , A. A. Caparica

A lattice gas model of adsorption inside cylindrical pores is evaluated with Monte Carlo simulations. The model incorporates two kinds of site: (a line of) ``axial'' sites and surrounding ``cylindrical shell'' sites, in ratio 1:7. The…

Statistical Mechanics · Physics 2009-11-10 Raluca A. Trasca , M. Mercedes Calbi , Milton W. Cole , Jose L. Riccardo

The appearance of a convex dip in the microcanonical entropy of finite systems usually signals a first order transition. However, a convex dip also shows up in some systems with a continuous transition as for example in the Baxter-Wu model…

Statistical Mechanics · Physics 2009-11-11 Hans Behringer , Michel Pleimling

Monte Carlo (MC) simulations have been carried out to study the adsorption on square and triangular lattices of particles with two bonding sites that, by decreasing temperature or increasing density, polymerize reversibly into chains with a…

Statistical Mechanics · Physics 2012-11-06 L. G. López , A. J. Ramirez-Pastor