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We present a continuum model describing dissolution and growth of a crystal contact confined against a substrate. Diffusion and hydrodynamics in the liquid film separating the crystal and the substrate are modeled within the lubrication…

Soft Condensed Matter · Physics 2018-01-31 Luca Gagliardi , Olivier Pierre-Louis

The dynamics of a tracer particle in a glassy matrix of obstacles displays slow complex transport as the free volume approaches a critical value and the void space falls apart. We investigate the emerging subdiffusive motion of the test…

Statistical Mechanics · Physics 2011-01-20 Thomas Franosch , Markus Spanner , Teresa Bauer , Gerd E. Schröder-Turk , Felix Höfling

A vibrational model of transport properties of dense fluids assumes that solid-like oscillations of atoms around their temporary equilibrium positions dominate the dynamical picture. The temporary equilibrium positions of atoms do not form…

Soft Condensed Matter · Physics 2024-01-09 Sergey Khrapak

We study a minimal stochastic model of step bunching during growth on a one-dimensional vicinal surface. The formation of bunches is controlled by the preferential attachment of atoms to descending steps (inverse Ehrlich-Schwoebel effect)…

Statistical Mechanics · Physics 2009-11-10 Frantisek Slanina , Joachim Krug , Miroslav Kotrla

We study the continuum limit in 2+1 dimensions of nanoscale anisotropic diffusion processes on crystal surfaces relaxing to become flat below roughening. Our main result is a continuum law for the surface flux in terms of a new…

Materials Science · Physics 2009-11-13 John Quah , Dionisios Margetis

The paper addresses the single-file diffusion in the presence of an absorbing boundary. The emphasis is on an interplay between the hard-core interparticle interaction and the absorption process. The resulting dynamics exhibits several…

Statistical Mechanics · Physics 2014-02-26 Artem Ryabov , Petr Chvosta

The chemical step is an elementary pattern in chemically heterogeneous substrates, featuring two regions of different wettability separated by a sharp border. Within the framework of lubrication theory, we investigate droplet motion and the…

Fluid Dynamics · Physics 2026-04-24 Zhuo Long , Peng Gao

We study the behavior of single atoms on an infinite vicinal surface assuming certain degree of step permeability. Assuming complete lack of re-evaporation an ruling out nucleation the atoms will inevitably join kink sites at the steps but…

Other Condensed Matter · Physics 2018-02-14 Bogdan Ranguelov , Ivan Markov

We analyze the dynamics of crystal surfaces in the presence of electromigration. From a phase field model with a migration force which depends on the local geometry, we derive a step model with additional contributions in the kinetic…

Statistical Mechanics · Physics 2009-11-11 O. Pierre-Louis

We report new results on the non-conserved dynamics of parallel steps on vicinal surfaces in the case of sublimation with electromigration and step-step interactions. The derived equations are valid in the quasistatic approximation and in…

Statistical Mechanics · Physics 2015-05-30 Marian Ivanov , Joachim Krug

We study the dynamics of adatoms in a model of vicinal (11m) fcc metal surfaces. We examine the role of different diffusion mechanisms and their implications to surface growth. In particular, we study the effect of steps and kinks on adatom…

Condensed Matter · Physics 2009-10-28 J. Merikoski , T. Ala-Nissila

We propose a novel approach to continuum modeling of the dynamics of crystal surfaces. Our model follows the evolution of an ensemble of step configurations, which are consistent with the macroscopic surface profile. Contrary to the usual…

Statistical Mechanics · Physics 2009-11-07 Navot Israeli , Daniel kandel

This paper investigates faceting mechanisms induced by electromigration in the regime where atomic steps are transparent. For this purpose we study several vicinal orientations by means of in-situ (optical diffraction, electronic…

Materials Science · Physics 2011-11-10 F. Leroy , P. Muller , J. J. Metois , O. Pierre-Louis

Burton-Cabrera-Frank (BCF) theory has proven to be a versatile framework to relate surface morphology and dynamics during crystal growth to the underlying mechanisms of adatom diffusion and attachment at steps. For an important class of…

A continuum model for the dynamics of a single step with the strongly anisotropic line energy is formulated and analyzed. The step grows by attachment of adatoms from the lower terrace, onto which atoms adsorb from a vapor phase or from a…

Pattern Formation and Solitons · Physics 2015-06-16 M. Khenner

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

Using a Monte Carlo method on a lattice model of a vicinal surface with short-range step-step attraction, we show that, at low temperature and near equilibrium, there is an inhibition of the motion of macro-steps. This inhibition leads to a…

Chemical Physics · Physics 2017-11-15 Noriko Akutsu

Recent experimental and theoretical investigations of crystal growth from solution in the vicinity of an impermeable wall have shown that: (i) growth can be maintained within the contact region when a liquid film is present between the…

Soft Condensed Matter · Physics 2019-03-27 Luca Gagliardi , Olivier Pierre-Louis

We report numerical results for two models of vicinal motion. The first, LW, aims at crystal evaporation when the detachment from steps is slow [Liu and Weeks, PRB 57, 23 (1998) 14891]. The source of destabilization is electromigration…

Materials Science · Physics 2010-05-06 Diana Staneva , Bogdan Ranguelov , Vesselin Tonchev

The BCF theory of crystal growth has been successful in describing a wide range of phenomena in surface physics. Typical crystal surfaces are slightly misoriented with respect to a facet plane; thus, the BCF theory views such systems as…

Mesoscale and Nanoscale Physics · Physics 2015-03-12 Paul N. Patrone , T. L. Einstein , Dionisios Margetis