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We consider the reversible adsorption of dimers on a regular lattice, where adsorption occurs on a finite fraction of sites selected randomly. By comparing this system to the pure system where all sites are available for adsorption, we show…

Statistical Mechanics · Physics 2009-11-13 J. Talbot , G. Tarjus , P. Viot

A popular absorbing structure, often referred to as Perfect Metamaterial Absorber, comprising metallic periodic pattern over a thin low-loss grounded substrate is studied by resorting to an efficient transmission line model. This approach…

Classical Physics · Physics 2015-06-12 Filippo Costa , Simone Genovesi , Agostino Monorchio , Giuliano Manara

Based on a microscopic density functional theory we investigate the morphology of thin liquidlike wetting films adsorbed on substrates endowed with well-defined chemical heterogeneities. As paradigmatic cases we focus on a single chemical…

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

We study the adsorption-desorption of fluid molecules on a solid substrate by introducing a schematic model in which the adsorption/desorption transition probabilities are given by irreversible kinetic constraints with a tunable violation…

Statistical Mechanics · Physics 2019-11-27 Mauro Sellitto

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 theoretically the deposition of Few Layer Graphene sheets onto a grooved substrate incorporating adhesion between substrate and sheet. We develop a model to understand the equilibrium of the sheet allowing for partial conformation…

Mesoscale and Nanoscale Physics · Physics 2012-09-26 Till J. W. Wagner , Dominic Vella

Using an interface displacement model we calculate the shapes of thin liquidlike films adsorbed on flat substrates containing a chemical stripe. We determine the entire phase diagram of morphological phase transitions in these films as…

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

In the reduced one-dimensional description of the adsorption on the wedge-shaped substrate the mid-point interface height serves as the order parameter. We point at the ambiguity which appears in the transfer-matrix approach to this…

Statistical Mechanics · Physics 2009-10-31 A. Bednorz , M. Napiorkowski

Irreversible adsorption of spheres on flat collectors having dimension $d<2$ is studied. Molecules are adsorbed on Sierpinski's Triangle and Carpet like fractals ($1<d<2$), and on General Cantor Set ($d<1$). Adsorption process is modeled…

Materials Science · Physics 2012-08-02 Michal Ciesla , Jakub Barbasz

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

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

We study the behavior of very thin liquid films wetting homogeneous planar and spherical substrates. In order to describe a simple fluid at very small scales, we employ a classical density functional theory (DFT). Here, we model a fluid…

Statistical Mechanics · Physics 2017-01-10 Andreas Nold

We develop a diffuse solid method that is versatile and accurate for modeling wetting and multiphase flows in highly complex geometries. In this scheme, we harness N + 1-component phase field models to investigate interface shapes and flow…

We consider the $L$-state cyclic solid-on-solid lattice models under a class of open boundary conditions. The integrable boundary face weights are obtained by solving the reflection equations. Functional relations for the fused transfer…

Condensed Matter · Physics 2009-10-28 Y K Zhou , M T Batchelor

We propose a new approach to obtain the nanoscale morphology of rough surfaces from low-temperature adsorption experiments. Our method is based on one of the most realistic models of rough surfaces formulated in terms of random correlated…

Materials Science · Physics 2019-08-06 Timur Aslyamov , Aleksey Khlyupin , Vera Pletneva , Iskander Akhatov

We present a phase-field model for simulating the solid-state dewetting of anisotropic crystalline films on non-planar substrates. This model exploits two order parameters to trace implicitly the crystal free surface and the substrate…

Mesoscale and Nanoscale Physics · Physics 2025-05-01 Emma Radice , Marco Salvalaglio , Roberto Bergamaschini

We consider fluid wetting on a corrugated substrate using effective interfacial Hamiltonian theory and show that breaking the translational invariance along the wall can induce an 'unbending' phase transition in addition to unbinding. Both…

Soft Condensed Matter · Physics 2009-10-31 C. Rascon , A. O. Parry , A. Sartori

The transfer matrix formalism is widely used in modeling heat diffusion in layered structures.Due to an intrinsic numerical instability issue, which has not yet drawn enough attention to the heat transfer community,this formalism fails at…

Applied Physics · Physics 2022-10-05 Tao Li , Zhen Chen

Results of recent density functional theory calculations for alkali metal adsorbates on close-packed metal surfaces are discussed. Single adatoms on the (111) surface of Al and Cu are studied with the self-consistent surface Green-function…

mtrl-th · Physics 2016-09-07 C. Stampfl , M. Scheffler

We study the asymptotic behaviour of sharp front solutions arising from the nonlinear diffusion equation \theta_t = (D(\theta)\theta_x)_x, where the diffusivity is an exponential function D({\theta}) = D_o exp(\beta\theta). This problem…

Analysis of PDEs · Mathematics 2016-11-01 Christopher J. Budd , John M. Stockie