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Many structural materials (metal alloys, polymers, minerals, etc.) are formed by quenching liquids into crystalline solids. This highly non-equilibrium process often leads to polycrystalline growth patterns that are broadly termed…

Materials Science · Physics 2009-11-10 László Gránásy , Tamás Pusztai , György Tegze , James A. Warren , Jack F. Douglas

Given the multitude of growth habits, pronounced sensitivity to ambient conditions and wide range of scales involved, snowflake crystals are one of the most challenging systems to model. The present work focuses on the development and…

Fluid Dynamics · Physics 2022-01-26 Q. Tan , S. A. Hosseini , A. Seidel-Morgenstern , D. Thévenin , H. Lorenz

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

Condensational growth of cloud droplets due to supersaturation fluctuations is investigated by solving the hydrodynamic and thermodynamic equations using direct numerical simulations with droplets being modeled as Lagrangian particles. The…

Atmospheric and Oceanic Physics · Physics 2019-02-20 Xiang-Yu Li , Gunilla Svensson , Axel Brandenburg , Nils E. L. Haugen

We present a dynamical model of crystal growth, in which it is possible to reliably achieve asymmetric products, beginning from symmetric initial conditions and growing within an isotropic environment. The asymmetric growth is the result of…

Statistical Mechanics · Physics 2025-03-20 Sam Oaks-Leaf , David T. Limmer

Snowflakes play a crucial role in weather and climate. A significant portion of precipitation that reaches the surface originates as ice, even when it ultimately falls as rain. Contrary to the popular image of symmetric, dendritic crystals,…

Atmospheric and Oceanic Physics · Physics 2026-01-16 Axel Seifert , Christoph Siewert , Fabian Jakub , Leonie von Terzi , Stefan Kneifel

We investigate dendritic sidebranching during crystal growth in an undercooled melt by simulation of a phase-field model which incorporates thermal noise of microscopic origin. As a non-trivial quantitative test of this model, we first show…

Materials Science · Physics 2009-10-31 Alain Karma , Wouter-Jan Rappel

We describe an experimental apparatus for making detailed morphological observations of the growth of isolated plate-like ice crystals from water vapor. Each crystal develops a plate-on-pedestal (POP) geometry, in which a large, thin,…

Materials Science · Physics 2015-03-04 Kenneth G. Libbrecht

We consider a model to describe stable configurations in epitaxial growth of crystals in the two dimensional case, and in the regime of linearized elasticity. The novelty is that the model also takes into consideration the adatom density on…

Analysis of PDEs · Mathematics 2024-11-28 Riccardo Cristoferi , Gabriele Fissore

In this paper I examine snow crystal growth near -14 C in comparison with a comprehensive model that includes Structure-Dependent Attachment Kinetics (SDAK). Analyzing a series of ice-growth observations in air, I show that the data…

Materials Science · Physics 2021-08-12 Kenneth G. Libbrecht

I describe techniques for making precise measurements of the growth rates of the principal facets of ice crystals. Particular attention is paid to identifying and reducing systematic errors in the measurements, as these have plagued earlier…

Materials Science · Physics 2007-05-23 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

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

Even though our theoretical understanding of dendritic solidification is relatively well developed, our current ability to model this process quantitatively remains extremely limited. This is due to the fact that the morphological…

Materials Science · Physics 2007-05-23 Jean Bragard , Alain Karma , Youngyih H. Lee , Mathis Plapp

Sea ice growth with lamellar microstructure containing brine channels has been extensively investigated. However, the quantitative growth information of sea ice remains lack due to the uncontrolled crystalline orientation in previous…

Materials Science · Physics 2020-12-14 Tongxin Zhang , Zhijun Wang , Lilin Wang , Junjie Li , Jincheng Wang

Numerical simulations of thin sheets undergoing large deformations are computationally challenging. Depending on the scenario, they may spontaneously buckle, wrinkle, fold, or crumple. Nature's thin tissues often experience significant…

Soft Condensed Matter · Physics 2015-08-03 Roman Vetter , Norbert Stoop , Falk K. Wittel , Hans J. Herrmann

I review published data relating to the growth of ice crystals from water vapor under various conditions, and I critically examine the different measurements to determine what useful information can be extracted from each. I show that most,…

Materials Science · Physics 2007-05-23 Kenneth G. Libbrecht

We perform detailed numerical simulations of field ion microscopy images of faceted crystals and compare them with experimental observations. In contrast to the case of crystals with a smooth surface, for a faceted topography we find…

Mesoscale and Nanoscale Physics · Physics 2009-09-17 Daniel Niewieczerzal , Czeslaw Oleksy , Andrzej Szczepkowicz

The melting of pure axisymmetric ice crystals has been described previously by us within the framework of so-called geometric crystal growth. Nonequilibrium ice crystal shapes evolving in the presence of hyperactive antifreeze proteins…

Biological Physics · Physics 2012-07-13 Jun Jie Liu , Yangzong Qin , Maya Bar Dolev , Yeliz Celik , J. S. Wettlaufer , Ido Braslavsky

We present experiments investigating the growth of ice crystals from water vapor in air using a free-fall convection chamber. We measured growth rates at temperatures of -5 C and -10 C as a function of supersaturation at an air pressure…

Materials Science · Physics 2009-12-15 K. G. Libbrecht , H. M. Arnold