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Related papers: Nucleation and Bulk Crystallization in Binary Phas…

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Advanced phase-field techniques have been applied to address various aspects of polycrystalline solidification including different modes of crystal nucleation. The height of the nucleation barrier has been determined by solving the…

We review theoretical and simulational approaches to the description of equilibrium bulk crystal and interface properties as well as to the nonequilibrium processes of homogeneous and heterogeneous crystal nucleation for the simple model…

Soft Condensed Matter · Physics 2014-02-03 Francesco Turci , Tanja Schilling , Mohammad Hossein Yamani , Martin Oettel

We review how phase-field models contributed to the understanding of various aspects of crystal nucleation including homogeneous and heterogeneous processes, and their role in microstructure evolution. We recall results obtained both by the…

A phase eld approach is developed to model wetting and heterogeneous crystal nucleation of an undercooled pure liquid in contact with a sharp wall. We discuss various choices for the boundary condition at the wall and determine the…

Materials Science · Physics 2009-11-11 László Gránásy , Tamás Pusztai , David Saylor , James A. Warren

The phase-field crystal model is by now widely used in order to predict crystal nucleation and growth. For colloidal solidification with completely overdamped individual particle motion, we show that the phase-field crystal dynamics can be…

Soft Condensed Matter · Physics 2009-05-28 Sven van Teeffelen , Rainer Backofen , Axel Voigt , Hartmut Löwen

Understanding the pathways to crystallization during the deposition of a vapor phase on a cold solid substrate is of great interest in industry, e.g., for the realization of electronic devices made of crystallites-free glassy materials, as…

Soft Condensed Matter · Physics 2023-10-03 Fabio Leoni , Hajime Tanaka , John Russo

The basic physics of nucleation in solid \hl{single-crystal} nanoparticles is revealed by a phase-field theory that includes surface energy, chemical reactions and coherency strain. In contrast to binary fluids, which form arbitrary contact…

Materials Science · Physics 2014-09-17 Daniel A. Cogswell , Martin Z. Bazant

We investigate a phase-field-crystal model for homogeneous nucleation. Instead of solving the time evolution of a density field towards equilibrium we use a String Method to identify saddle points in phase space. The saddle points allow to…

Statistical Mechanics · Physics 2014-07-04 Rainer Backofen , Axel Voigt

The phase field theory of crystal nucleation described in [L. Granasy, T. Borzsonyi, T. Pusztai, Phys. Rev. Lett. 88, 206105 (2002)] is applied for nucleation in hard--sphere liquids. The exact thermodynamics from molecular dynamics is…

Statistical Mechanics · Physics 2009-11-10 Laszlo Granasy , Tamas Pusztai , Zoltan Jurek , Massimo Conti , Bjorn Kvamme

We review our recent modeling of crystal nucleation and polycrystalline growth using a phase field theory. First, we consider the applicability of phase field theory for describing crystal nucleation in a model hard sphere fluid. It is…

Soft Condensed Matter · Physics 2007-05-23 L. Granasy , T. Pusztai , T. Borzsonyi

The emergence upon cooling of an ordered solid phase from a liquid is a remarkable example of self-assembly, which has also major practical relevance. Here, we use a recently developed committor-based enhanced sampling method [Kang et al.,…

Statistical Mechanics · Physics 2025-06-30 Yuanpeng Deng , Peilin Kang , Xiang Xu , Hui Li , Michele Parrinello

Crystallization of supersaturated liquids usually starts by heterogeneous nucleation. Mounting evidence shows that even homogeneous nucleation in simple liquids takes place in two steps; first a dense amorphous precursor forms, and the…

Materials Science · Physics 2014-07-15 László Gránásy , Frigyes Podmaniczky , Gyula I. Tóth , György Tegze , Tamás Pusztai

We apply a simple dynamical density functional theory, the phase-field-crystal (PFC) model, to describe homogeneous and heterogeneous crystal nucleation in 2d monodisperse colloidal systems and crystal nucleation in highly compressed Fe…

Materials Science · Physics 2015-05-18 László Gránásy , György Tegze , Gyula I. Tóth , Tamás Pusztai

We investigate the finite-temperature phase diagram of polar molecules confined in a quasi-two-dimensional geometry by a harmonic potential along the polarization axis. We employ Quantum Monte Carlo simulations to explore the strongly…

Quantum Gases · Physics 2026-05-19 Vinicius Zampronio , Matteo Ciardi , Fabio Cinti

Nucleation in systems with a metastable liquid-gas critical point is the prototypical example of a two-step nucleation process, in which the appearance of the critical nucleus is preceded by the formation of a liquid-like density…

Soft Condensed Matter · Physics 2023-04-07 Camilla Beneduce , Diogo E. P. Pinto , Petr Sulc , Francesco Sciortino , John Russo

In this paper the relationship between the density functional theory of freezing and phase field modeling is examined. More specifically a connection is made between the correlation functions that enter density functional theory and the…

Materials Science · Physics 2007-05-23 K. R. Elder , Nikolas Provatas , Joel Berry , Peter Stefanovic , Martin Grant

The crystal nucleation from liquid in most cases is too rare to be accessed within the limited timescales of the conventional molecular dynamics (MD) simulation. Here, we developed a "persistent embryo" method to facilitate crystal…

Materials Science · Physics 2018-02-27 Yang Sun , Huajing Song , Feng Zhang , Lin Yang , Zhuo Ye , Mikhail I. Mendelev , Cai-Zhuang Wang , Kai-Ming Ho

The process of homogeneous crystal nucleation has been considered in a model liquid, where the interparticle interaction is described by a short-range spherical oscillatory potential. Mechanisms of initiating structural ordering in the…

Materials Science · Physics 2018-12-18 Bulat N. Galimzyanov , Dinar T. Yarullin , Anatolii V. Mokshin

A full understanding of polycrystalline materials requires studying the process of nucleation, a thermally activated phase transition that typically occurs at atomistic scales. The numerical modeling of this process is problematic for…

Materials Science · Physics 2018-05-09 Paul Jreidini , Gabriel Kocher , Nikolas Provatas

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
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