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We investigated the influence of short- and long-range correlated quenched disorder introduced into the medium on the process of adsorption of long-flexible polymer chains on a wall by using the field theoretical approach in $d=4-\epsilon$…

Disordered Systems and Neural Networks · Physics 2007-05-23 Z. Usatenko , A. Ciach

The behavior of polyelectrolytes between charged surfaces immersed in semi-dilute solutions is investigated theoretically. A continuum mean field approach is used for calculating numerically concentration profiles between two electrodes…

Soft Condensed Matter · Physics 2007-05-23 I. Borukhov , D. Andelman , H. Orland

Using the Gaussian Ansatz for the monomer-monomer correlation functions we derive a set of the self-consistent equations for determination of the conformational state in the bead-and-spring copolymer model. The latter is based on the…

Soft Condensed Matter · Physics 2007-05-23 Yu. A. Kuznetsov , E. G. Timoshenko

Chemical reactions are usually studied under the assumption that both substrates and catalysts are well mixed (WM) throughout the system. Although this is often applicable to test-tube experimental conditions, it is not realistic in…

Statistical Mechanics · Physics 2023-02-13 Nino Lauber , Ondrej Tichacek , Krishnadev Narayanankutty , Daniele De Martino , Kepa Ruiz-Mirazo

The structure of dilute electrolyte solutions close to a surface carrying a spatially inhomogeneous surface charge distribution is investigated by means of classical density functional theory (DFT) within the approach of fundamental measure…

Soft Condensed Matter · Physics 2020-06-23 Maximilian Mußotter , Markus Bier , S. Dietrich

Dissociative adsorption onto a surface introduces dynamic correlations between neighboring sites not found in non-dissociative absorption. We study surface coverage dynamics where reversible dissociative adsorption of dimers occurs on a…

Statistical Mechanics · Physics 2023-11-16 Enrique Mercado , Hyun Tae Jung , Changho Kim , Alejandro L. Garcia , Andy J. Nonaka , John B. Bell

Surface growth, by association or dissociation of material on the boundaries of a body, is ubiquitous in both natural and engineering systems. It is the fundamental mechanism by which biological materials grow, starting from the level of a…

Soft Condensed Matter · Physics 2019-03-06 Rami Abi-Akl , Rohan Abeyaratne , Tal Cohen

We study the effect of disorder on work exchange associated to quantum Hamiltonian processes by considering an Ising spin chain in which the strength of coupling between spins are randomly drawn from either Normal or Gamma distributions.…

Statistical Mechanics · Physics 2018-12-05 Yuanjian Zheng , Dario Poletti

We present an extensive study of the two-impurity Kondo problem for spin-1 adatoms on square lattice using an exact canonical transformation to map the problem onto an effective one-dimensional system that can be numerically solved using…

Strongly Correlated Electrons · Physics 2018-01-10 A. Allerdt , R. Zitko , A. E. Feiguin

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 study the effects of short-range correlated disorder arising from chemical dopants or local lattice distortions, on the ferromagnetism of 3d double exchange systems. For this, we integrate out the carriers and treat the resulting…

Strongly Correlated Electrons · Physics 2009-11-13 Georges Bouzerar , Olivier Cépas

We present an \textit{exactly solvable} model of a monomer-monomer $A + B \to \emptyset$ reaction on a 2D inhomogeneous, catalytic substrate and study the equilibrium properties of the two-species adsorbate. The substrate contains randomly…

Materials Science · Physics 2009-11-10 G. Oshanin , M. N. Popescu , S. Dietrich

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

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

The theory of statistical-mechanical lattice-gas modeling of adsorption is reviewed and shown to be applicable to a range of electrochemical problems dominated by effective, lateral adsorbate--adsorbate interactions. A general strategy for…

Condensed Matter · Physics 2007-05-23 P. A. Rikvold , J. Zhang , Y. -E. Sung , A. Wieckowski

We consider a mathematical model for heterogeneous catalysis in a finite three-dimensional pore of cylinder-like geometry, with the lateral walls acting as a catalytic surface. The system under consideration consists of a…

Analysis of PDEs · Mathematics 2017-08-29 Dieter Bothe , Matthias Köhne , Siegfried Maier , Jürgen Saal

We explore theoretically the modifications to the interactions between charged surfaces across an ionic solution caused by the presence of dielectric polymers. Although the chains are neutral, the polymer physics and the electrostatics are…

Soft Condensed Matter · Physics 2007-05-23 O. A. Croze , M. E. Cates

We formulate the theory of the perturbation caused by an adsorbate upon the substrate lattice in terms of a local modification of the interatomic potential energy around the adsorption site, which leads to the relaxation of substrate atoms.…

Materials Science · Physics 2009-10-31 R. Brako , D. Sokcevic

Heterogeneity in biological molecules, resulting in molecule-to-molecule variations in their dynamics and function, is an emerging theme. To elucidate the consequences of heterogeneous behavior at the single molecule level, we propose an…

Biological Physics · Physics 2017-01-24 Changbong Hyeon , Michael Hinczewski , D. Thirumalai

We study the effects of uncorrelated quenched disorder to the phase diagram and continuous transitions of three-dimensional lattice ${\mathbb Z}_2$ gauge Higgs models. For this purpose, we consider two types of quenched disorder, associated…

Disordered Systems and Neural Networks · Physics 2026-02-18 Claudio Bonati , Ettore Vicari
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