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Related papers: Mandelic acid single-crystal growth: Experiments v…

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The possible impact of temperature differences during crystal growth is investigated in this study. The organic molecule considered is mandelic acid, an important component for the pharmaceutical industry. The productivity of generating…

Mathematical Physics · Physics 2023-06-05 Q. Tan , S. A. Hosseini , A. Seidel-Morgenstern , D. Thévenin , H. Lorenz

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

Simulations of SiC crystal growth using molecular dynamics (MD) have become popular in recent years. They, however, simulate very fast deposition rates, to reduce computational costs. Therefore, they are more akin to surface sputtering,…

Materials Science · Physics 2025-12-25 Alexander Reichmann , Zahra Rajabzadeh , Sebastian Hofer , René Hammer , Lorenz Romaner

We present a quantitative benchmark of multiscale models for dendritic growth simulations. We focus on approaches based on phase-field, dendritic needle network, and grain envelope dynamics. As a first step, we focus on isothermal growth of…

Computational Physics · Physics 2020-06-18 Damien Tourret , Laszlo Sturz , Alexandre Viardin , Miha Založnik

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

We use molecular dynamic to simulate the directional growth of binary mixtures. our results compare very well with analitical and experimental results. This opens up the possibility to probe growth situations which are difficult to reach…

Statistical Mechanics · Physics 2007-05-23 B. V. Costa , P. Z. Coura , O. N. Mesquita

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

The crystallization proceeds by the advance of the crystal faces into the disordered phase at the expense of the supersaturation which is not sustained in our model. Using a conservation constraint for the transformation ratio and a kinetic…

Materials Science · Physics 2024-03-08 V. V. Ivanov , C. Tielemann , K. Avramova , S. Reinsch , V. Tonchev

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

Guidelines for growing insulin crystals of a uniform size are formulated and tested experimentally. A simple theoretical model based on the balance of matter predicts the time evolution of the crystal size and supersaturation. The time…

Materials Science · Physics 2013-01-11 Christo N. Nanev , Vesselin D. Tonchev , Feyzim V. Hodzhaoglu

Interface energy and kinetic coefficient of crystal growth strongly depend on the face of the crystalline lattice. To investigate the kinetic anisotropy and velocity of different crystallographic faces we use the hyperbolic (modified) phase…

Materials Science · Physics 2020-04-03 Vladimir Ankudinov , Peter K. Galenko

Based upon kinetic Monte Carlo simulations of crystallization in a simple polymer model we present a new picture of the mechanism by which the thickness of lamellar polymer crystals is constrained to a value close to the minimum…

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

We use a combined phase-field/lattice-Boltzmann scheme [D. Medvedev, K. Kassner, Phys. Rev. E {\bf 72}, 056703 (2005)] to simulate non-facetted crystal growth from an undercooled melt in external flows. Selected growth parameters are…

Materials Science · Physics 2009-11-11 Dmitry Medvedev , Thomas Fischaleck , Klaus Kassner

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 a stochastic simulation method designed to study at an atomic resolution the growth kinetics of compounds characterized by the sp3-type bonding symmetry. Formalization and implementation details are discussed for the particular…

Materials Science · Physics 2020-01-23 A. La Magna , A. Alberti , E. Barbagiovanni , C. Bongiorno , M. Cascio , I. Deretzis , F. La Via , E. Smecca

The crystal size distribution in polynuclear growth is numerically studied using a coupled map lattice model. The width of the size distribution depends on c/D, where c is the growth rate at interface sites and $D$ is the diffusion…

Materials Science · Physics 2015-06-11 Hidetsugu Sakaguchi , Takuma Ohishi

Given recipe of qualitative, kinetic modelling by geometric methods of three-dimensional dendritic crystals. Characteristic features of the perturbations appearing on the surface of a spherical body, leading to different scenarios of the…

Materials Science · Physics 2018-10-05 Alexander S. Prokhoda

Kinetics of crystal-growth is investigated along the solid-liquid coexistence line for the (100), (110) and (111) orientations of the Lennard-Jones and Weeks-Chandler-Andersen fcc crystal-liquid interface, using non-equilibrium molecular…

Statistical Mechanics · Physics 2015-04-29 Ronald Benjamin , Jürgen Horbach

Crystallization represents the prime example of a disorder order transition. In realistic situations, however, container walls and impurities are frequently present and hence crystallization is heterogeneously seeded. Rarely the seeds are…

Soft Condensed Matter · Physics 2019-05-28 Elshad Allahyarov , Kirill Sandomirski , Stefan U. Egelhaaf , Hartmut Löwen

Crystal growth behavior of benzoic acid crystals on different surfaces was examined. The performed experiments documented the existence of very strong influence introduced by polar surfaces as glass, gelatin, and polyvinyl alcohol (PVA) on…

Materials Science · Physics 2018-05-11 Piotr Cysewski , Maciej Przybyłek
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