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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

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

In this work, we study the crystalline nuclei growth in glassy systems focusing primarily on the early stages of the process, at which the size of a growing nucleus is still comparable with the critical size. On the basis of molecular…

Disordered Systems and Neural Networks · Physics 2017-04-10 Anatolii V. Mokshin , Bulat N. Galimzyanov

The first and maybe the most important step in designing a model-based predictive controller is to develop a model that is as accurate as possible and that is valid under a wide range of operating conditions. The sugar boiling process is a…

Chemical Physics · Physics 2012-12-24 Alfred Jean Philippe Lauret , Harry Boyer , Jean Claude Gatina

We study the conditions under which and how an imposed cluster of fixed colloidal particles at prescribed positions triggers crystal nucleation from a metastable colloidal fluid. Dynamical density functional theory of freezing and Brownian…

Soft Condensed Matter · Physics 2009-11-13 Sven van Teeffelen , Christos N. Likos , Hartmut Löwen

Crystal growth and crystal coalescence processes in supercooled systems strongly depend on the concentration of crystallization centers. We perform atomistic dynamics simulations of the crystallization process in the ultrathin metallic film…

Materials Science · Physics 2019-09-04 Bulat N. Galimzyanov , Vladimir I. Ladyanov , Anatolii V. Mokshin

According to classical nucleation theory, a crystal grows from a small nucleus that already bears the symmetry of its end phase - but experiments with colloids now reveal that, from an amorphous precursor, crystallites with different…

Materials Science · Physics 2014-07-15 László Gránásy , Gyula I. Tóth

A new model of crystal growth is presented that describes the phenomena on atomic length and diffusive time scales. The former incorporates elastic and plastic deformation in a natural manner, and the latter enables access to times scales…

Materials Science · Physics 2009-11-07 K. R. Elder , Mark Katakowski , Mikko Haataja , Martin Grant

We show, in this report, how a population balance model differential equation describing batch crystal growth from solution can be solved in closed form for the case of diffusion limited growth with and without modeling the effects of…

Materials Science · Physics 2024-11-11 Douglas A. Barlow , Kylene Monaghan

Most substances can crystallise into two or more different crystal lattices, called polymorphs. Despite this, there are no systems in which we can quantitatively predict the probability of one competing polymorph forming, instead of the…

Soft Condensed Matter · Physics 2017-10-25 Laurie J. Little , Alice A. K. King , Richard P. Sear , Joseph L. Keddie

We describe an apparatus designed for obtaining precise measurements of the growth rates of ice crystals from water vapor over a range of experimental conditions. Our aim is to produce clean, high-quality test crystals in a well controlled…

Materials Science · Physics 2011-09-08 Kenneth G. Libbrecht

A widely spread method of crystal preparation is to precipitate it from a supersaturated solution. In such a process, control of solution concentration is of paramount importance. Nucleation process, polymorph selection, and crystal habits…

Soft Condensed Matter · Physics 2019-07-10 Tarak Karmakar , Pablo M. Piaggi , Michele Parrinello

We determine the non-equilibrium grain size distribution during the crystallization of a solid in $d$ dimensions at fixed thermodynamic conditions, for the random nucleation and growth model, and in absence of grain coalescence. Two…

Materials Science · Physics 2013-10-25 Kimberly S. Lokovic , Ralf B. Bergmann , Andreas Bill

Crystal nucleation and growth processes induced by an externally applied shear strain in a model metallic glass are studied by means of nonequilibrium molecular dynamics simulations, in a range of temperatures. We observe that the…

Materials Science · Physics 2010-09-30 Anatolii Mokshin , J. -L. Barrat

Experiments and simulations are used to study the kinetics of crystal growth in a mixture of magnetic and nonmagnetic particles suspended in ferrofluid. The growth process is quantified using both a bond order parameter and a mean domain…

Soft Condensed Matter · Physics 2017-01-11 An T. Pham , Ryohei Seto , Johannes Schonke , Daniel Y. Joh , Ashutosh Chilkoti , Eliot Fried , Benjamin B. Yellen

An experimental and theoretical study on the structure and energetics of stellated gold clusters at several sizes is presented. Systematic molecular dynamics simulations on Kepler-Poisont classified clusters are performed based on…

We report numerical investigations of a three-dimensional model of diffusive growth of fine particles, the internal structure of which corresponds to different crystal lattices. A growing cluster (particle) is immersed in, and exchanges…

Statistical Mechanics · Physics 2010-10-12 Vyacheslav Gorshkov , Alexandr Zavalov , Vladimir Privman

Single crystal growth is a widely explored method of synthesizing materials in the solid state. The last few decades have seen significant improvements in the techniques used to synthesize single crystals, but there has been comparatively…

Materials Science · Physics 2022-09-21 Tanya Berry , Nicholas Ng , Tyrel M. McQueen

Nucleation and growth is studied in a system undergoing diffusion-controlled condensation under gradual changes in parameters, such as cooling. It is demonstrated that when Gibbs-Thompson effect becomes negligible, the system falls into a…

Soft Condensed Matter · Physics 2025-03-14 Alexei V. Tkachenko

A variational lattice model is proposed to define an evolution of sets from a single point (nucleation) following a criterion of "maximization" of the perimeter. At a discrete level, the evolution has a "checkerboard" structure and its…

Analysis of PDEs · Mathematics 2021-10-27 Andrea Braides , Giovanni Scilla , Antonio Tribuzio
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