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We study adsorption of liquid at a one-dimensional substrate composed of a single chemical inhomogeneity of width $2L$ placed on an otherwise homogeneous, planar, solid surface. The excess point free energy $\eta (L,T)$ associated with the…

Statistical Mechanics · Physics 2009-11-11 P. Jakubczyk , M. Napiorkowski , A. O. Parry

We study the adsorption of a fluid in the grand canonical ensemble occurring at a planar heterogeneous wall which is decorated with a chemical stripe of width $L$. We suppose that the material of the stripe strongly preferentially adsorbs…

Statistical Mechanics · Physics 2017-08-30 Alexandr Malijevský , Andrew O. Parry , Martin Pospíšil

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

Using an interface displacement model derived from a microscopic density functional theory we investigate thin liquidlike wetting layers adsorbed on flat substrates with an embedded chemical heterogeneity forming a stripe. For a wide range…

Soft Condensed Matter · Physics 2009-10-31 C. Bauer , S. Dietrich , A. O. Parry

Mean field analysis of the effective interfacial Hamiltonian shows that with increasing temperature the adsorption on a periodically corrugated substrate can proceed in two steps: first, there is the filling transition in which the…

Statistical Mechanics · Physics 2009-10-31 K. Rejmer , M. Napiorkowski

The excess adsorption $\Gamma $ in two-dimensional Ising strips $(\infty \times L)$ subject to identical boundary fields, at both one-dimensional surfaces decaying in the orthogonal direction $j$ as $-h_1j^{-p}$, is studied for various…

Statistical Mechanics · Physics 2015-05-13 A. Drzewinski , A. Maciolek , A. Barasinski , S. Dietrich

The interfacial adsorption W at the first-order transition in two-dimensional q-state Potts models is studied. In particular, findings of Monte Carlo simulations and of density-matrix renormalization group calculations, at q= 16, are…

Condensed Matter · Physics 2011-01-12 E. Carlon , F. Igloi , W. Selke , F. Szalma

Within the Landau-Ginzburg-Wilson approach we derive the effective Hamiltonian governing fluctuations of an interface between two phases, one of them adsorbed on a disclike substrate. For large disc radii and for temperatures close to the…

Statistical Mechanics · Physics 2017-08-31 Pawel Jakubczyk , Marek Napiorkowski

This article concerns a systemic manifestation of small scale interfacial heterogeneities in large scale quantities of interest to a variety of diverse applications spanning the earth, biological and ecological sciences. Beginning with…

Statistics Theory · Mathematics 2013-12-24 Jorge M. Ramirez , Enrique A. Thomann , Edward C. Waymire

Adsorption of surfactants to fluid interfaces occurs in daily-life and technological contexts like dish washing and oil spill remediation. The surfactant surface coverage $\Gamma$ governs interface characteristics like tension $\gamma$,…

Soft Condensed Matter · Physics 2025-12-01 Kay-Robert Dormann , Joshua Reed , Daniel Mitlewski , Matej Kanduč , Benno Liebchen , Emanuel Schneck

Interfacial structure and correlation functions near a two-dimensional (2D) wedge filling transition are studied using effective interfacial Hamiltonian models. An exact solution for short range binding potentials and results for Kratzer…

Statistical Mechanics · Physics 2009-11-10 J. M. Romero-Enrique , A. O. Parry , M. J. Greenall

he inhomogeneous structure of a fluid at a wall can be characterized in several ways. Within a thermodynamic description the surface free energy $\gamma$ and the excess adsorption $\Gamma$ are of central importance. For theoretical studies…

Statistical Mechanics · Physics 2014-10-03 Ruslan L. Davidchack , Brian B. Laird , Roland Roth

We investigate theoretically the morphology of a thin nematic film adsorbed at flat substrate patterned by stripes with alternating aligning properties, normal and tangential respectively. We construct a simple "exactly-solvable" effective…

Soft Condensed Matter · Physics 2017-02-01 Nuno M. Silvestre , Margarida M. Telo da Gama , Mykola Tasinkevych

Interfacial phenomena associated with fluid adsorption in two dimensional systems has recently been shown to exhibit hidden symmetries, or covariances, which precisely relate local adsorption properties in different confining geometries. We…

Statistical Mechanics · Physics 2009-11-10 C. Rascon , A. O. Parry

Several recent imaging experiments access the equilibrium density profiles of interacting particles confined to a two-dimensional substrate. When these particles are in a fluid phase, we show that such data yields precise information…

Disordered Systems and Neural Networks · Physics 2016-08-31 Ankush Sengupta , Surajit Sengupta , Gautam I. Menon

This work is devoted to the analysis of the interplay between internal variables and high-contrast microstructure in inelastic solids. As a concrete case-study, by means of variational techniques, we derive a macroscopic description for an…

Analysis of PDEs · Mathematics 2024-10-14 Elisa Davoli , Chiara Gavioli , Valerio Pagliari

The photomolecular effect has been hypothesized to enhance evaporation of water at visible wavelengths. This study develops a measurement technique to investigate its presence and magnitude at the liquid-vapor interface of water. The…

Optics · Physics 2026-03-19 Preston Bohm , Mingjun Li , Akanksha K. Menon , Zhuomin M. Zhang

We propose a simplified description of fluid adsorption on heterogenenous micropatterned substrates. Using this approach, we are able to rederive results obtained earlier using effective interfacial Hamiltonian methods and predict a number…

Condensed Matter · Physics 2009-11-07 C. Rascon , A. O. Parry

We use density functional theory to investigate adsorption of liquid mixtures on solid surfaces modified with end-grafted chains. The chains are modelled as freely joined spheres. The fluid molecules are spherical. All spherical species…

Soft Condensed Matter · Physics 2016-03-08 M. Borówko , T. Staszewski

We study the effect of interfacial phenomena in two-dimensional perfect and random (or disordered) $q$-state Potts models with continuous phase transitions, using, mainly, Monte Carlo techniques. In particular, for the total interfacial…

Statistical Mechanics · Physics 2015-08-10 N. G. Fytas , A. Malakis , W. Selke , L. N. Shchur
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