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We consider the motion of a discrete random surface interacting by exclusion with a random wall. The heights of the wall at the sites of $\Z^d$ are i.i.d.\ random variables. Fixed the wall configuration, the dynamics is given by the serial…

Probability · Mathematics 2007-05-23 L. R. G. Fontes , M. Vachkovskaia , A. Yambartsev

With a Si(001) vicinal surface in mind, we study step wandering instability on a vicinal surface with an anisotropic surface diffusion whose orientation dependence alternates on each consecutive terrace. In a conserved system step wandering…

Materials Science · Physics 2013-05-29 M. Sato , M. Uwaha , Y. Saito , Y. Hirose

The distinction between absolute and convective instabilities is well known in the context of hydrodynamics and plasma physics. In this Letter, we examine an epitaxial crystal growth model from this point of view and show that a…

Materials Science · Physics 2007-05-23 Navot Israeli , Daniel Kandel , Michael F. Schatz , Andrew Zangwill

We study absorbing phase transitions in the one-dimensional branching annihilating random walk with long-range repulsion. The repulsion is implemented as hopping bias in such a way that a particle is more likely to hop away from its closest…

Statistical Mechanics · Physics 2023-07-26 Su-Chan Park

A realistic tight-binding model is developed and employed to elucidate the resistivity size effect due to steps on Ru thin films. The resistivity of two different film orientations, $(0001)$ and $(1 \bar{1}00)$, is computed for transport…

Mesoscale and Nanoscale Physics · Physics 2021-11-23 W. E. Richardson , E. R. Mucciolo , P. K. Schelling

We report the results of computer simulations of epitaxial growth in the presence of a large Schwoebel barrier on different crystal surfaces: simple cubic(001), bcc(001), simple hexagonal(001) and hcp(001). We find, that mounds coarse by a…

Statistical Mechanics · Physics 2009-10-31 M. Ahr , M. Biehl , M. Kinne , W. Kinzel

Bacteria in aquatic environments often interact with particulate matter. A key example is bacterial degradation of marine snow responsible for carbon export from the upper ocean in the biological pump. The ecological interaction between…

Biological Physics · Physics 2020-04-23 Jonasz Słomka , Uria Alcolombri , Eleonora Secchi , Roman Stocker , Vicente I. Fernandez

We consider a vicinal face, where atoms and impurities impinge and evaporate to a vapor phase, to study how the surface diffusion and evaporation of impurities affect step bunching induced by impurities. When the lifetime of impurities on…

Materials Science · Physics 2019-10-11 Masahide Sato

We investigate how varying two microscopic parameters - cell volume and the ratio between repulsion and attraction intensities - affect the phase behavior of a cell model with a Curie-Weiss-type interaction. The analysis is based on an…

Statistical Mechanics · Physics 2025-05-30 O. A. Dobush , M. P. Kozlovskii , I. V. Pylyuk , Yu. O. Plevachuk

The driving force dependence of the surface velocity and the average height of faceted merged steps, the terrace-surface-slope, and the elementary step velocity in the non-equilibrium steady-state are studied using the Monte Carlo method.…

Materials Science · Physics 2018-02-21 Noriko Akutsu

Natural selection acts on traits at different scales, often with opposing consequences. This article identifies the particular forces that act at each scale and how those forces combine to determine the overall evolutionary outcome. A…

Populations and Evolution · Quantitative Biology 2025-10-30 Steven A. Frank

We study the step bunching kinetic instability in a growing crystal surface characterized by anisotropic diffusion. The instability is due to the interplay between the elastic interactions and the alternation of step parameters. This…

Statistical Mechanics · Physics 2009-11-11 T. Frisch , A. Verga

Dynamics of a bubble impacting and sliding a tilted surface has been investigated through experimental and computational methods. \textcolor{blue}{Specifically, shear stress generated on the wall has been calculated and compared with…

Fluid Dynamics · Physics 2018-10-30 Ehsan Esmaili , Pranav Shukla , Joseph D. Eifert , Sunghwan Jung

The effect of crowding on the run-and-tumble dynamics of swimmers such as bacteria is studied using a discrete lattice model of mutually excluding particles that move with constant velocity along a direction that is randomized at a rate…

Soft Condensed Matter · Physics 2015-06-16 Rodrigo Soto , Ramin Golestanian

Molecular self-assembly on surfaces constitutes a powerful method for creating tailor-made surface structures with dedicated functionalities. Varying the intermolecular interactions allows for tuning the resulting molecular structures in a…

Mesoscale and Nanoscale Physics · Physics 2020-07-24 Christoph Schiel , Maximilian Vogtland , Ralf Bechstein , Angelika Kühnle , Philipp Maass

The decay of a crystalline cone below the roughening transition is studied. We consider local mass transport through surface diffusion, focusing on the two cases of diffusion limited and attachment-detachment limited step kinetics. In both…

Materials Science · Physics 2009-10-31 Navot Israeli , Daniel Kandel

We investigate the effect of mobile polymer brushes on proteins embedded in biological membranes by employing both Asakura-Oosawa type of theoretical model and coarse-grained molecular dynamics simulations. The brush polymer-induced…

Soft Condensed Matter · Physics 2022-03-02 Anvy Moly Tom , Won Kyu Kim , Changbong Hyeon

We studied the step dynamics during crystal sublimation and growth in the limit of fast surface diffusion and slow kinetics of atom attachment-detachment at the steps. For this limit we formulate a model free of the quasi-static…

Chemical Physics · Physics 2009-11-13 Bogdan Ranguelov , Stoyan Stoyanov

We study vicinal crystal surfaces with the terrace-step-kink model on a discrete lattice. Including both a short-ranged attractive interaction and a long-ranged repulsive interaction arising from elastic forces, we discover a series of…

Condensed Matter · Physics 2009-12-31 V. B. Shenoy , Shiwei Zhang , W. F. Saam

For fundamentally characterizing the effect of hierarchical structure in granular matter, a set of compression-relaxation tests for dust particles and glass beads confined in a cylindrical cell was performed. Typical diameter of both grains…

Soft Condensed Matter · Physics 2021-03-03 Felipe Pacheco-Vázquez , Tomomi Omura , Hiroaki Katsuragi