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We study the vicinal surface with adsorption below the roughening temperature, using the restricted solid-on-solid model coupled with the Ising model. By the product-wavefunction renormalization group method, we calculate the surface…

Statistical Mechanics · Physics 2009-10-31 Noriko Akutsu , Yasuhiro Akutsu , Takao Yamamoto

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

A phase diagram for the step faceting phase, the step droplet phase, and the Gruber-Mullins-Pokrovsky-Talapov (GMPT) phase on a crystal surface is obtained by calculating the surface tension with the density matrix renormalization group…

Materials Science · Physics 2019-03-26 Noriko Akutsu

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

The coverage of vicinal, stepped surfaces with molecules is simulated with the help of a two-dimensional Ising model including local distortions and an Ehrlich-Schwoebel barrier term at the steps. An effective two-spin model is capable to…

Statistical Mechanics · Physics 2015-06-25 K. Morawetz , C. Olbrich , S. Gemming , M. Schreiber

Relaxed atomic geometries and chemisorption energies have been calculated for the dissociative adsorption of molecular hydrogen on vicinal Si(001) surfaces. We employ density-functional theory, together with a pseudopotential for Si, and…

Condensed Matter · Physics 2009-10-31 E. Pehlke , P. Kratzer

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

Directional solidification occurs in industrial and natural processes, such as freeze-casting, metal processing, biological cryopreservation and freezing of soils. Translational temperature gradient stage allows to control the process of…

Applied Physics · Physics 2020-11-10 Michael Chasnitsky , Victor Yashunsky , Ido Braslavsky

Depletion of the liquid density near a solid surface with a weak long-range fluid-surface interaction was studied by computer simulations of the liquid-vapor coexistence of a LJ fluid confined in slitlike pores. In a wide temperature range…

Statistical Mechanics · Physics 2015-06-25 A. Oleinikova , I. Brovchenko , A. Geiger

The influence of solidification on the spreading of liquids is addressed in the situation of an advancing liquid wedge on a cold substrate at $T_p < T_f$, of infinite thermal conductivity, where $T_f$ is the melting temperature. We propose…

Fluid Dynamics · Physics 2020-10-28 Rémy Herbaut , Julien Dervaux , Philippe Brunet , Laurent Royon , Laurent Limat

We analyze the effect of temperature on the yielding transition of amorphous solids using different coarse-grained model approaches. On one hand we use an elasto-plastic model, with temperature introduced in the form of an Arrhenius…

Disordered Systems and Neural Networks · Physics 2021-11-12 Ezequiel E. Ferrero , Alejandro B. Kolton , Eduardo A. Jagla

A new phase field model is introduced, which can be viewed as nontrivial generalisation of what is known as the Caginalp model. It involves in particular nonlinear diffusion terms. By formal asymptotic analysis, it is shown that in the…

Analysis of PDEs · Mathematics 2012-01-18 Sylvie Benzoni-Gavage , Laurent Chupin , Didier Jamet , Julien Vovelle

In this work we present a molecular dynamics simulation of a FFM experiment. The tip-sample interaction is studied by varying the normal force in the tip and the temperature of the surface. The friction force, cA, at zero load and the…

Computational Physics · Physics 2015-06-26 R. A. Dias , M. Rapini , P. Z. Coura , B. V. Costa

For hexagonal nets, descriptive of {111} fcc surfaces, we derive from combinatoric arguments a simple, low-temperature formula for the orientation dependence of the surface step line tension and stiffness, as well as the leading correction,…

Materials Science · Physics 2009-11-10 T. J. Stasevich , Hailu Gebremariam , T. L. Einstein , M. Giesen , C. Steimer , H. Ibach

Thermal properties of graphene monolayers are studied by path-integral molecular dynamics (PIMD) simulations, which take into account the quantization of vibrational modes in the crystalline membrane, and allow one to consider anharmonic…

Materials Science · Physics 2017-09-18 Carlos P. Herrero , Rafael Ramirez

We study a $d=2$ discrete solid--on--solid model of complete wetting of a rough substrate with random self--affine boundary, having roughness exponent $\zeta_s$. A suitable transfer matrix approach allows to discuss adsorption isotherms, as…

Condensed Matter · Physics 2009-10-22 G. Giugliarelli , A. L. Stella

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 energetics of transition and noble metal (Rh, Pd, Cu) vicinal surfaces, i.e., surface energy, step energy, kink energy and electronic interactions between steps, is studied at 0K from electronic structure calculations in the…

Materials Science · Physics 2009-11-10 Cyrille Barreteau , Faical Raouafi , Marie-Catherine Desjonqueres , Daniel Spanjaard

We have investigated the step stiffness on Cu(001) surfaces as a function of step orientation by two independent methods at several temperatures near 300 K. Both sets of data agree well and show a substantial dependence of the stiffness on…

Materials Science · Physics 2009-11-10 Sabine Dieluweit , Harald Ibach , Margret Giesen , T. L. Einstein

We analyze the effects of a long-ranged step-step interaction on thermal roughening within the framework of a solid-on-solid model of a crystal surface by means of Monte Carlo simulation. A repulsive step-step interaction is modeled by…

Statistical Mechanics · Physics 2009-11-07 Frank Gutheim , Heiner Mueller-Krumbhaar , Efim Brener , Vladimir Kaganer
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