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Ice crystal icing (ICI) in aircraft engines is a major threat to flight safety. Due to the complex thermodynamic and phase-change conditions involved in ICI, rigorous modelling of the accretion process remains limited. The present study…

Fluid Dynamics · Physics 2024-04-01 Timothy Peters , Josh Shelton , Hui Tang , Philippe Trinh

Icicles form when cool water drips from an overhanging support under ambient conditions which are below freezing. Ice growth is controlled by the removal of latent heat, which is transferred into the surrounding air via a thin film of water…

Pattern Formation and Solitons · Physics 2011-02-10 Antony Szu-Han Chen , Stephen W. Morris

By introducing height dependency in the surface energy density, we propose a novel regularized variational model to simulate wetting/dewetting problems. The regularized model leads to the appearance of a precursor layer which covers the…

Analysis of PDEs · Mathematics 2022-08-18 Wei Jiang , Zhen Zhang , Zeyu Zhou

The influence of the external pressure and surface energy on the wetting transition at nanotextured interfaces is studied using molecular dynamics and continuum simulations. The surface roughness of the composite interface is introduced via…

Soft Condensed Matter · Physics 2018-07-12 Bishal Bhattarai , Nikolai V. Priezjev

The ability to predict the morphology of crystals formed by chemical reactions is of fundamental importance for the shape-controlled synthesis of nanostructures. Based on the atomistic mechanism for crystal growth under different driving…

Materials Science · Physics 2009-11-13 B. Viswanath , Paromita Kundu , B. Mukherjee , N. Ravishankar

The dynamics of a one dimensional growth model involving attachment and detachment of particles is studied in the presence of a localized growth inhomogeneity along with anchored boundary conditions. At large times, the latter enforce an…

Statistical Mechanics · Physics 2007-05-23 M. D. Grynberg

We have studied the structure and free energy landscape of a semi-flexible lattice-polymer in the presence of a surface. At low temperatures coexistence of two-dimensional integer-folded crystals is observed. As the temperature is increased…

Soft Condensed Matter · Physics 2007-05-23 Jonathan Doye , Daan Frenkel

We present some results of Monte Carlo simulations for the deposition of particles of different sizes on a two-dimensional substrate. The particles are linear, height one, and can be deposited randomly only in the two, $x$ and $y$…

Statistical Mechanics · Physics 2010-06-15 F. L. Forgerini , W. Figueiredo

The vertical gradient freeze crystal growth process is the main technique for the production of high quality compound semiconductors that are vital for today's electronic applications. A simplified model of this process consists of two 1D…

Optimization and Control · Mathematics 2025-02-11 Stefan Ecklebe , Nicole Gehring

Ice shell dynamics are an important control on the habitability of icy ocean worlds. Here we present a systematic study evaluating the effect of temperature-dependent material properties on these dynamics. We review the published thermal…

Earth and Planetary Astrophysics · Physics 2021-04-07 Evan Carnahan , Natalie S. Wolfenbarger , Jacob S. Jordan , Marc A. Hesse

We study the dynamics of a driven interface in a two-dimensional random-field Ising model close to the depinning transition at small but finite temperatures T using Glauber dynamics. A square lattice is considered with an interface…

Statistical Mechanics · Physics 2009-10-31 U. Nowak , K. D. Usadel

Control of the crystallization process is central to developing novel materials with atomic precision to meet the demands of electronic and quantum technology applications. Semiconductor nanowires grown by the vapor-liquid-solid process are…

A probabilistic discrete model for 2D protein crystal growth is presented. This model takes into account the available space and can describe growing processes of different nature due to the versatility of its parameters which gives the…

Biological Physics · Physics 2019-02-20 V. J. Bolós , R. Benítez , A. Eleta-López , J. L. Toca-Herrera

Cosmic-ray-induced sputtering is one of the important desorption mechanisms at work in astrophysical environments. The chemical evolution observed in high-density regions, from dense clouds to protoplanetary disks, and the release of…

Astrophysics of Galaxies · Physics 2021-04-07 E. Dartois , M. Chabot , T. Id Barkach , H. Rothard , P. Boduch , B. Augé , A. N. Agnihotri

An analytical model for the evolution of the boundary of the new phase in transformations ruled by nucleation and growth is presented. Both homogeneous and heterogeneous nucleation have been considered: The former includes transformations…

Materials Science · Physics 2020-08-26 Massimo Tomellini

In this journal, we study the phase-field model of solidification for numerical simulation of dendritic crystal growth that occurs during the casting of metals and alloys based on the kobayashi [1] model. Qualitative relationships between…

Numerical Analysis · Mathematics 2014-12-11 Rahul Sanal

We present measurements of the growth rates of the principal facet surfaces of ice from water vapor as a function of supersaturation over the temperature range -2 C > T > -40 C. Our data are well described by a dislocation-free…

Materials Science · Physics 2014-08-26 K. G. Libbrecht , M. E. Rickerby

We report measurements of the initial growth and subsequent transient response of dendritic crystals of ammonium chloride grown from supersaturated aqueous solution. Starting from a small, nearly spherical seed held in unstable equilibrium,…

Materials Science · Physics 2015-06-25 Andrew Dougherty , Thomas Nunnally

The rate of curvature-driven grain growth in polycrystalline materials is well-known to be limited by interface dissipation. We show analytically and by simulations that, for systems forming modulated phases or non-equilibrium patterns with…

Materials Science · Physics 2015-06-15 Ari Adland , Yechuan Xu , Alain Karma

Controlled crystallization, melting and vitrification are important fundamental processes in nature and technology. However, the microscopic details of these fundamental phenomena still lack understanding, in particular how the cooling rate…

Soft Condensed Matter · Physics 2024-07-08 M. P. M. Schelling , T. W. J. Verouden , T. C. M. Stevens , J. -M. Meijer