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Ostwald ripening in O/W emulsions in presence of solubilizing micelles is theoretically studied. At small average sizes, the kinetics is predicted to follow the classical Lifshits-Slezov-Wagner cubic law, with the rate proportional to the…

Soft Condensed Matter · Physics 2026-02-26 Alexey Kabalnov

Ostwald ripening is a well-known physicochemical phenomenon in which smaller particles, characterized by high surface energy, dissolve and feed the bigger ones that are thermodynamically more stable. The effect is commonly observed in solid…

We study the relaxation to equilibrium of two dimensional islands containing up to 20000 atoms by Kinetic Monte Carlo simulations. We find that the commonly assumed relaxation mechanism - curvature-driven relaxation via atom diffusion -…

The ostwald ripening of bubbles is studied by molecular dynamics simulations involving up to 679 million Lennard-Jones particles. Many bubbles appear after depressurizing a system that is initially maintained in the pure-liquid phase, and…

Fluid Dynamics · Physics 2015-06-22 Hiroshi Watanabe , Masaru Suzuki , Hajime Inaoka , Nobuyasu Ito

We use Monte-Carlo simulations to study island formation in the growth of thin semiconducting films deposited on lattice-mismatched substrates. It is known that islands nucleate with critical nuclei of about one atom and grow two…

Materials Science · Physics 2009-10-31 K. E. Khor , S. Das Sarma

Globally conserved phase ordering dynamics is investigated in systems with short range correlations in the initial condition. A Ginzburg-Landau equation with a global conservation law is employed as the phase field model. The conditions are…

Statistical Mechanics · Physics 2009-11-07 Massimo Conti , Baruch Meerson , Avner Peleg , Pavel V. Sasorov

We present a systematic quasi-mean field model of the Ostwald ripening process in two dimensions. Our approach yields a set of dynamic equations for the temporal evolution of the minority phase droplets' radii. The equations contain only…

Statistical Mechanics · Physics 2009-10-30 Boris Levitan , Eytan Domany

We study the potential energy surface of the ozone molecule by means of Quantum Monte Carlo simulations based on the resonating valence bond concept. The trial wave function consists of an antisymmetrized geminal power arranged in a…

Computational Physics · Physics 2016-08-23 Sam Azadi , Ranber Singh , Thomas D. Kühne

Ostwald's Rule of Stages, which is one of the most widely observed phenomena associated with crystallization of polymorphs, follows naturally from the thermodynamics of nucleation. However, most observations of its manifestations have been…

Soft Condensed Matter · Physics 2026-03-03 Jiajun Chen , Ying Xia , Mingyi Zhang , Yu Huang , James J. De Yoreo

We calculate Root Mean Square (RMS) deviations from equilibrium for atoms in a two dimensional crystal with local (e.g. covalent) bonding between close neighbors. Large scale Monte Carlo calculations are in good agreement with analytical…

Materials Science · Physics 2012-08-27 D. J. Priour, , James Losey

If a stochastic system during some periods of its evolution can be divided into non-interacting parts, the kinetics of each part can be simulated independently. We show that this can be used in the development of efficient Monte Carlo…

Materials Science · Physics 2009-11-13 V. I. Tokar , H. Dreyssé

We study the morphological evolution of strained heteroepitaxial films using kinetic Monte Carlo simulations in two dimensions. A novel Green's function approach, analogous to boundary integral methods, is used to calculate elastic energies…

Materials Science · Physics 2009-11-07 Chi-Hang Lam , Chun-Kin Lee , Leonard M. Sander

Morphological evolution of heteroepitaxial nanoislands toward equilibrium (coarsening) is computed using the detailed continuum model that incorporates the quantum size effect. Results reveal the metastability of the "magic" heights, show…

Materials Science · Physics 2018-11-07 Donald L. Price , Victor Henner , Mikhail Khenner

A theory based on the thermodynamic Gibbs-Thomson relation is presented which provides the framework for understanding the time evolution of isolated nanoscale features (i.e., islands and pits) on surfaces. Two limiting cases are predicted,…

Condensed Matter · Physics 2009-10-28 James G. McLean , B. Krishnamachari , D. R. Peale , E. Chason , James P. Sethna , B. H. Cooper

We investigate the formation and the coarsening dynamics of islands in a strained epitaxial semi-conductor film. These islands are commonly observed in thin films undergoing a morphological instability due to the presence of the elasto…

Materials Science · Physics 2016-11-02 Guido Schifani , Thomas Frisch , Mederic Argentina , Jean-Noël Aqua

Phase separation of biomolecular condensates promotes membrane-free compartmentalization in cells. The dynamics of these biocondensates is routinely regulated by energy-consuming processes. Here, we devise a theory pinpointing how active…

Biological Physics · Physics 2026-01-08 Benjamin Sorkin , Ned S. Wingreen

Irreversible growth of strained epitaxial nanoislands has been studied with the use of the kinetic Monte Carlo (KMC) technique. It has been shown that the strain-inducing size misfit between the substrate and the overlayer produces long…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Tokar V. I. , Dreyssé H

We have studied the approach to equilibrium of islands and pores in two dimensions. The two-regime scenario observed when islands evolve according to a set of particular rules, namely relaxation by steps at low temperature and smooth at…

Materials Science · Physics 2009-11-10 Jose L. Iguain , Laurent J. Lewis

Effect of an anisotropic detachment on a heteroepitaxial island shape is studied by means of a kinetic Monte Carlo simulation of a square lattice gas model. Only with molecular deposition followed by surface diffusion, islands grow in a…

Materials Science · Physics 2007-07-20 Yukio Saito , Ryo Kawasaki

We study the coarsening of two-dimensional oblique stripe patterns by numerically solving potential and nonpotential anisotropic Swift-Hohenberg equations. Close to onset, all models exhibit isotropic coarsening with a single characteristic…

Soft Condensed Matter · Physics 2009-11-13 J. R. Gomez-Solano , D. Boyer
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