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Related papers: Modeling snow crystal growth III: three-dimensiona…

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Snowflake growth provides us with a fascinating example of spontaneous pattern formation in nature. Attempts to understand this phenomenon have led to important insights in non-equilibrium dynamics observed in various active scientific…

Computational Physics · Physics 2016-11-11 G. Demange , H. Zapolsky , R. Patte , M. Brunel

We describe a comprehensive model for the formation and morphological development of atmospheric ice crystals growing from water vapor, also known as snow crystals. Our model derives in part from empirical measurements of the intrinsic ice…

Materials Science · Physics 2012-11-26 Kenneth G. Libbrecht

Facetted growth of snow crystals leads to a rich diversity of forms, and exhibits a remarkable sixfold symmetry. Snow crystal structures result from diffusion limited crystal growth in the presence of anisotropic surface energy and…

Materials Science · Physics 2012-08-02 John W. Barrett , Harald Garcke , Robert Nürnberg

Polar mesospheric clouds provide clues to physicochemical processes in the mesosphere and lower thermosphere. However, the heterogeneous nucleation and growth processes of water ice under polar mesospheric conditions are poorly understood,…

Earth and Planetary Astrophysics · Physics 2025-07-25 Reo Sato , Kentaro Noguchi , Hiroyuki Koshida , Atsuki Ishibashi , Tetsuya Hama

Snow crystals growing from water vapor occasionally exhibit morphologies with three-fold (trigonal) symmetry, even though the ice crystal lattice has a molecular structure with six-fold symmetry. In extreme cases, thin platelike snow…

Materials Science · Physics 2021-06-21 Kenneth G. Libbrecht

Close to the triple point, the surface of ice is covered by a thin liquid layer (so-called quasi-liquid layer) which crucially impacts growth and melting rates. Experimental probes cannot observe the growth processes below this layer, and…

Chemical Physics · Physics 2021-01-22 David N. Sibley , Pablo Llombart , Eva G. Noya , Andrew J. Archer , Luis G. MacDowell

This monograph reviews our current understanding of the physical dynamics of ice crystal growth, focusing on the spontaneous formation of complex structures from water vapor (called snow crystals) as a function of temperature,…

Materials Science · Physics 2021-12-10 Kenneth G. Libbrecht

I describe a semi-empirical molecular model of the surface attachment kinetics governing ice crystal growth from water vapor as a function of temperature, supersaturation, and crystal mesostructure. An important new hypothesis in this model…

Materials Science · Physics 2019-11-14 Kenneth G. Libbrecht

I examine the molecular dynamics of ice growth from water vapor, focusing on how the attachment kinetics can be augmented by edge-dependent surface diffusion. Although there are significant uncertainties in developing an accurate physical…

Materials Science · Physics 2020-12-25 Kenneth G. Libbrecht

A simple model of irreversible aggregation under differential sedimentation of particles in a fluid is presented. The structure of the aggregates produced by this process is found to feed back on the dynamics in such a way as to stabilise…

Atmospheric and Oceanic Physics · Physics 2009-11-10 C. D. Westbrook , R. C. Ball , P. R. Field , A. J. Heymsfield

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 present measurements of the diffusion-limited growth of ice crystals from water vapor at different supersaturation levels in air at a temperature of -15 C. Starting with thin, c-axis ice needle crystals, the subsequent growth…

Materials Science · Physics 2015-12-14 Kenneth Libbrecht , Christopher Miller , Ryan Potter , Nina Budaeva , Cameron Lemon , Sarah Thomas

This paper presents a matrix of 206 snow crystal growth observations as a function of temperature and water vapor supersaturation in air, each illustrating the morphology and size of a crystal forming on the tip of an isolated c-axis ice…

Soft Condensed Matter · Physics 2023-06-23 Kenneth G. Libbrecht

We describe laboratory-grown snow crystals that exhibit a triangular, plate-like morphology, and we show that the occurrence of these crystals is much more frequent than one would expect from random growth perturbations of the more-typical…

Materials Science · Physics 2009-11-24 K. G. Libbrecht , H. M. Arnold

We examine the molecular dynamics of crystal growth in the presence of surface melting and surface impurities, and from this propose a detailed microscopic model for the growth of ice from the vapor phase. Our model naturally accounts for…

Materials Science · Physics 2008-10-06 Kenneth G. Libbrecht

Snow is a porous disordered medium consisting of air and three water phases: ice, vapour and liquid. The ice phase consists of an assemblage of grains, ice matrix, initially arranged over a random load bearing skeleton. The quantitative…

Statistical Mechanics · Physics 2010-12-22 Anna Carbone , Bernardino M. Chiaia , Barbara Frigo , Christian Turk

We present a first implementation of the Dendritic Needle Network (DNN) model for dendritic crystal growth in three dimensions including convective transport in the melt. The numerical solving of the Navier-Stokes equations is performed…

Computational Physics · Physics 2020-06-18 Thomas Isensee , Damien Tourret

We developed a consistent mathematical model for isotropic crystal growth on a substrate covered by the mask material with a periodic series of parallel long trenches where the substrate is exposed to the vapor phase. Surface diffusion and…

Materials Science · Physics 2009-11-07 M. Khenner , R. J. Braun , M. G. Mauk

I examine a variety of snow crystal growth measurements taken at a temperature of -5 C, as a function of supersaturation, background gas pressure, and crystal morphology. Both plate-like and columnar prismatic forms are observed under…

Materials Science · Physics 2019-12-09 Kenneth G. Libbrecht

Dendritic crystal growth in a pure undercooled melt is simulated quantitatively in three dimensions using a phase-field approach. The full non-axisymmetric morphology of the steady-state dendrite tip and $\sigma^*$ are determined as a…

patt-sol · Physics 2009-10-30 Alain Karma , Wouter-Jan Rappel
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