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Related papers: Solid--on--Solid Model for Adsorption on Self--Aff…

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A $2D$ model describing depinning of an interface from a rough, self-affine substrate, is studied by transfer matrix methods. The phase diagram is determined for several values of the roughness exponent, $\zeta_S$, of the attractive wall.…

Statistical Mechanics · Physics 2015-06-25 G. Giugliarelli , A. L. Stella

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 consider fluid adsorption near a rectangular edge of a solid substrate that interacts with the fluid atoms via long range (dispersion) forces. The curved geometry of the liquid-vapour interface dictates that the local height of the…

Statistical Mechanics · Physics 2014-06-20 Alexandr Malijevsky

A simple two dimensional model of a phase growing on a substrate is introduced. The model is characterized by an adsorption rate q, and a desorption rate p. It exhibits a wetting transition which may be viewed as an unbinding transition of…

Statistical Mechanics · Physics 2009-10-30 Haye Hinrichsen , Roberto Livi , David Mukamel , Antonio Politi

Based on the thermodynamic variation to the free energy functional, we propose a sharp-interface model for simulating solid-state dewetting of thin films on rigid curved substrates in two dimensions. This model describes the interface…

Materials Science · Physics 2018-11-14 Wei Jiang , Yan Wang , David J. Srolovitz , Weizhu Bao

We analyze theoretically complete wetting of a substrate supporting an array of parallel, vertical plates which can tilt elastically. The adsorbed liquid tilts the plates, inducing clustering, and thus modifies the substrate geometry. In…

Soft Condensed Matter · Physics 2012-02-08 N. R. Bernardino , S. Dietrich

The wetting properties of solid substrates with customary (i.e., macroscopic) random roughness are considered as a function of the microscopic contact angle of the wetting liquid and its partial pressure in the surrounding gas phase.…

Soft Condensed Matter · Physics 2015-03-19 S. Herminghaus

A solid-on-solid growth model for dimer adsorption and desorption is introduced and studied numerically. The special property of the model is that dimers can only desorb at the edges of terraces. It is shown that the model exhibits a…

Statistical Mechanics · Physics 2009-10-31 Haye Hinrichsen , Geza Odor

Depinning of an interface from a random self--affine substrate with roughness exponent $\zeta_S$ is studied in systems with short--range interactions. In 2$D$ transfer matrix results show that for $\zeta_S<1/2$ depinning falls in the…

Condensed Matter · Physics 2009-10-28 G. Giugliarelli , A. L. Stella

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

Soft Condensed Matter · Physics 2008-05-23 J. Talbot , G. Tarjus , P. Viot

The qualitative solvent- and temperature-dependent conformational behavior of a peptide in the proximity of solid substrates with different adsorption properties is investigated by means of a simple lattice model. The resulting pseudophase…

Soft Condensed Matter · Physics 2007-10-25 Michael Bachmann , Wolfhard Janke

We propose a sharp-interface model for solid-state dewetting of thin films with wetting potential, where the wetting effect is incorporated through a thickness-dependent surface energy. The model is governed by surface diffusion together…

Numerical Analysis · Mathematics 2026-04-29 Weijie Huang , Xinran Ruan

Through systematic experimental and theoretical studies of layer-thickness-dependent absorption in semiconducting MoSe$_2$ and WS$_2$ across the visible to near-infrared spectral range, we demonstrate a universal absorption behavior in…

Mesoscale and Nanoscale Physics · Physics 2025-10-27 Bhumika Chauhan , Nikhil Singh , Subhrajit Dalai , Abhisek Saidarsan , Sayantan Patra , Sourabh Jain , Aparna Deshpande , Ashish Arora

We provide a complete description of the low temperature wetting transition for the two dimensional Solid-On-Solid model. More precisely we study the integer-valued field $(\phi(x))_{x\in \mathbb Z^2}$, associated associated to the energy…

Mathematical Physics · Physics 2018-07-04 Hubert Lacoin

We study the vicinal surface of the restricted solid-on-solid model coupled with the Langmuir adsorbates which we regard as two-dimensional lattice gas without lateral interaction. The effect of the vapor pressure of the adsorbates in the…

Statistical Mechanics · Physics 2009-11-07 Noriko Akutsu , Yasuhiro Akutsu , Takao Yamamoto

The wetting and filling properties of a fluid adsorbed on a solid grooved substrate are studied by means of a microscopic density functional theory. The grooved substrates are modelled using a solid slab, interacting with the fluid…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Alexandr Malijevsky

Surface adsorption is one of the fundamental processes in numerous fields, including catalysis, environment, energy and medicine. The development of an adsorption model which provides an effective prediction of binding energy in minutes has…

Materials Science · Physics 2022-07-27 Paolo Restuccia , Ehsan A. Ahmad , Nicholas M. Harrison

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 propose a self-consistent model taking into account variations in adsorption properties of the adsorbent surface in the process of adsorption--desorption of molecules of gas on it. We introduce a dimensionless coupling parameter that…

Materials Science · Physics 2009-11-30 A. S. Usenko

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
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