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We study the collective diffusion in chain structures on anisotropic substrates like (112) bcc and (110) fcc surfaces with deep troughs in the substrate potential corrugation. These chain structures are aligned normal to the troughs and can…

Statistical Mechanics · Physics 2009-11-07 Igor F. Lyuksyutov , H. -U. Everts , H. Pfnuer

Preroughening of close-packed fcc(111) surfaces, found in rare gas solids, is an interesting, but poorly characterized phase transition. We introduce a restricted solid-on-solid model, named FCSOS, which describes it. Using mostly Monte…

Condensed Matter · Physics 2009-10-28 S. Prestipino , G. Santoro , E. Tosatt

Atomistic simulations using an EAM potential are carried out to investigate the first stages of plasticity in aluminum slabs, in particular the effect of both temperature and step geometry on the nucleation of dislocations from surface…

Other Condensed Matter · Physics 2007-10-02 Pierre Hirel , Sandrine Brochard , Laurent Pizzagalli , Pierre Beauchamp

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

This research explores an introduction to solid-state diffusion, focusing on its importance in materials engineering. It examines vacancy and interstitial diffusion mechanisms, the application of Fick's laws, and their impact on processes…

Materials Science · Physics 2024-07-26 Jairo Rondón , Angel Gonzalez-Lizardo , Ricardo Bravo , Juan Valera

We have studied initial growth of Sn atoms on Ge(001) surfaces at room temperature and 80 K by scanning tunneling microscopy. For Sn deposition onto the Ge(001) substrate at room temperature, the Sn atoms form two kinds of one-dimensional…

Materials Science · Physics 2007-05-23 K. Tomatsu , K. Nakatsuji , T. Iimori , F. Komori

The role played by a kinetic barrier originated by out-of-plane step edge diffusion, introduced in [Leal \textit{et al.}, \href{https://doi.org/10.1088/0953-8984/23/29/292201}{J. Phys. Condens. Matter \textbf{23}, 292201 (2011)}], is…

Statistical Mechanics · Physics 2019-04-24 Anderson J. Pereira , Sidiney G. Alves , Silvio C. Ferreira

Diffusion is a fundamental physical phenomenon with critical applications in fields such as metallurgy, cell biology, and population dynamics. While standard diffusion is well-understood, anomalous diffusion often requires complex non-local…

Statistical Mechanics · Physics 2026-01-16 Gabriel Barreiro , Vladimir Pérez-Veloz

Enzymes have been recently proposed to have mechanical activity associated with their chemical activity. In a number of recent studies, it has been reported that enzymes undergo enhanced diffusion in the presence of their corresponding…

Biological Physics · Physics 2021-04-07 Jaime Agudo-Canalejo , Tunrayo Adeleke-Larodo , Pierre Illien , Ramin Golestanian

We perform a kinetic Monte Carlo simulation study of a model of thin film deposition of a two-component mixture in which the activation energy for diffusion of an adatom is additive over its nearest neighbors and in which the interactions…

Materials Science · Physics 2021-06-11 Tung B. T. To , Fábio D. A. Aarão Reis

We describe a numerical model of faceted crystal growth using a cellular automata method that incorporates admolecule diffusion on faceted surfaces in addition to bulk diffusion in the medium surrounding the crystal. The model was developed…

Materials Science · Physics 2015-09-30 Kenneth G. Libbrecht

We devise a new 1D atomistic scale model of vicinal growth based on Cellular Automaton. In it the step motion is realized by executing the automaton rule prescribing how adatoms incorporate into the vicinal crystal. Time increases after…

Materials Science · Physics 2017-09-13 F. Krzyżewski , M. Załuska-Kotur , A. Krasteva , H. Popova , V. Tonchev

Spontaneous stratification of granular mixtures has been reported by Makse et al. [Nature 386, 379 (1997)] when a mixture of grains differing in size and shape is poured in a quasi-two-dimensional heap. We study this phenomenon using two…

Statistical Mechanics · Physics 2009-10-31 Pierre Cizeau , Hernan A. Makse , H. Eugene Stanley

We study several one dimensional step flow models. Numerical simulations show that the slope of the profile exhibits scaling in all cases. We apply a scaling ansatz to the various step flow models and investigate their long time evolution.…

Materials Science · Physics 2009-10-31 Navot Israeli , Hyeong-Chai Jeong , Daniel Kandel , John D. Weeks

Many transport processes in nature exhibit anomalous diffusive properties with non-trivial scaling of the mean square displacement, e.g., diffusion of cells or of biomolecules inside the cell nucleus, where typically a crossover between…

Statistical Mechanics · Physics 2015-09-16 Andrea Cairoli , Adrian Baule

This paper reports a study of the influence of the step at a silicon surface under an uniaxial tensile stress, using an empirical potential. Our aim was to find conditions leading to nucleation of dislocations from the step. We obtained…

Materials Science · Physics 2007-09-12 Julien Godet , Laurent Pizzagalli , Sandrine Brochard , Pierre Beauchamp

We study the evolution of fronts in a bistable reaction-diffusion system when the nonlinear reaction term is spatially non-homogeneous. This equation has been used to model wave propagation in various biological systems. Extending previous…

Pattern Formation and Solitons · Physics 2009-10-31 Horacio G. Rotstein , Anatol M. Zhabotinsky , Irving R. Epstein

A basic kinetic model that incorporates a coupled dynamics of the carbon atoms and dimers on a copper surface is used to compute growth of a single-layer graphene island. The speed of the island's edge advancement on Cu[111] and Cu[100]…

Materials Science · Physics 2016-07-06 Mikhail Khenner

Methods of determining surface diffusion coefficients of molecules from signal fluctuations of a locally fixed probe are revisited and refined. Particular emphasis is put on the influence of the molecule's extent. In addition to the…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Susanne Hahne , Julian Ikonomov , Moritz Sokolowski , Philipp Maass

A limited mobility nonequilibrium solid-on-solid dynamical model for kinetic surface growth is introduced as a simple description for the morphological evolution of a growing interface under random vapor deposition and surface diffusion…

Statistical Mechanics · Physics 2007-05-23 S. Das Sarma , P. Punyindu