English
Related papers

Related papers: Numerical computations of facetted pattern formati…

200 papers

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

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

We introduce a three-dimensional, computationally feasible, mesoscopic model for snow crystal growth, based on diffusion of vapor, anisotropic attachment, and a semi-liquid boundary layer. Several case studies are presented that faithfully…

Mathematical Physics · Physics 2007-11-27 Janko Gravner , David Griffeath

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

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

Frost growth on cold surfaces is a transient process with coupled heat and mass transfer. Due to multiple factors such as humidity, temperature, flow velocity and constantly changing thermal properties as frost grows, precise prediction can…

Fluid Dynamics · Physics 2021-03-05 Shantanu Shahane , Yuchen Shen , Sophie Wang

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 propose a new type of morphological instability in the diffusion-limited growth of faceted crystals from the vapor phase that can explain the formation of thin ice plates at temperatures near -15 C. The instability appears when the…

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

Crystal faceting can emerge via two broad physical mechanisms: anisotropic attachment kinetics on growing crystals and anisotropic surface energies on near-equilibrium crystals. For the case of the ice/vapor system, anisotropic attachment…

Materials Science · Physics 2023-06-08 Kenneth G. Libbrecht , James Walkling

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 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

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

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

Ice crystals growing in highly supersaturated air at temperatures near -5 C exhibit a distinctive, nonplanar dendritic morphology that has not been previously documented or explained. We examine this structure and identify its most…

Materials Science · Physics 2009-12-15 Kenneth G. Libbrecht

We review several aspects of aerodynamics that affect the growth, morphology, and symmetry of snow crystals. We derive quantitative estimates for aerodynamical forces that orient falling snow crystals, estimate how air flow around snow…

Materials Science · Physics 2009-11-26 K. G. Libbrecht

We present observations of the formation of plate-like snow crystals that provide evidence for an edge-enhancing crystal growth instability. This instability arises when the condensation coefficient describing the growth of an ice prism…

Materials Science · Physics 2011-11-14 Kenneth G. Libbrecht

Ice nucleation and growth are critical in many fields, including atmospheric science, cryobiology, and aviation. However, understanding the detailed mechanisms of ice crystal growth remains challenging. In this work, crystallization at the…

Materials Science · Physics 2025-01-14 Jihong Shi , Maxwell Fulford , Matteo Salvalaglio , Carla Molteni

With climate modeling predicting a raise of at least 2 C by year 2100, the fate of ice has become a serious concern, but we still do not understand how ice grows (or melts). In the atmosphere, crystal growth rates of basal and prismatic…

Atmospheric and Oceanic Physics · Physics 2021-01-07 Pablo Llombart , Eva G. Noya , Luis G. MacDowell

We describe a novel crystal growth instability that enhances the development of thin edges, promoting the formation of plate-like or hollow columnar morphologies. This instability arises when diffusion-limited growth is coupled with…

Materials Science · Physics 2012-09-25 Kenneth G. Libbrecht
‹ Prev 1 2 3 10 Next ›