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We test classical nucleation theory (CNT) in the case of simulations of deeply supercooled, high density liquid silica, as modelled by the BKS potential. We find that at density $\rho=4.38$~g/cm$^3$, spontaneous nucleation of crystalline…

Soft Condensed Matter · Physics 2009-11-11 Ivan Saika-Voivod , Peter H. Poole , Richard K. Bowles

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

We predict the structural interaction of crystalline solid-melt interfaces using amplitude equations which are derived from classical density functional theory or phase-field-crystal modeling. The solid ordering decays exponentially on the…

Materials Science · Physics 2015-06-12 Robert Spatschek , Ari Adland , Alain Karma

A two-variable stochastic model for diffusion-limited nucleation is developed using a formalism derived from fluctuating hydrodynamics. The model is a direct generalization of the standard Classical Nucleation Theory. The nucleation rate…

Chemical Physics · Physics 2015-05-26 James F. Lutsko , Miguel A. Durán-Olivencia

By employing brute-force molecular dynamics, umbrella sampling, and seeding simulations, we investigate homogeneous nucleation during melting and freezing of hard spheres. We provide insights into these opposing phase transitions from the…

Soft Condensed Matter · Physics 2024-04-16 Willem Gispen , Marjolein Dijkstra

A fluid in equilibrium in a finite volume $V$ with particle number $N$ at a density $\rho = N/V$ exceeding the onset density $\rho_f $ of freezing may exhibit phase coexistence between a crystalline nucleus and surrounding fluid. Using a…

Statistical Mechanics · Physics 2015-06-23 Antonia Statt , Peter Virnau , Kurt Binder

Recently, it was shown that a theoretical description of nucleation based on fluctuating hydrodynamics and classical density functional theory can be used to determine non-classical nucleation pathways for crystallization (Lutsko, Sci. Adv.…

Chemical Physics · Physics 2024-06-26 James F. Lutsko , Cédric Schoonen

In simulations of the 2D Ising model, we examine heterogeneous nucleation induced by a small impurity consisting of a line of $l$ fixed spins. As $l$ increases, we identify a limit of stability beyond which the metastable phase is not…

Statistical Mechanics · Physics 2013-04-30 Benjamin Scheifele , Ivan Saika-Voivod , Richard K. Bowles , Peter H. Poole

Crystallization from a supercooled liquid initially proceeds via the formation of a small solid embryo (nucleus), which requires surmounting an activation barrier. This phenomenon is most easily studied by numerical simulation, using…

Soft Condensed Matter · Physics 2018-04-27 Santi Prestipino

Using the bond-propagation algorithm, we study the Ising model on a rectangle of size $M \times N$ with free boundaries. For five aspect ratios $\rho=M/N=1,2,4,8,16$, the critical free energy, internal energy and specific heat are…

Statistical Mechanics · Physics 2012-11-13 Xintian Wu , Nickolay Izmailian , Wenan Guo

In this review we focus on the determination of phase diagrams by computer simulation with particular attention to the fluid-solid and solid-solid equilibria. The calculation of the free energy of solid phases using the Einstein crystal and…

Statistical Mechanics · Physics 2009-01-14 C. Vega , E. Sanz , J. L. F. Abascal , E. G. Noya

Homogeneous nucleation, a textbook transition path for phase transitions, is typically understood on thermodynamic grounds through the prism of classical nucleation theory. However, recent studies have suggested the applicability of…

Soft Condensed Matter · Physics 2025-12-08 Luke Langford , Ahmad K. Omar

We have performed large-scale Lennard-Jones molecular dynamics simulations of homogeneous vapor-to-liquid nucleation, with $10^9$ atoms. This large number allows us to resolve extremely low nucleation rates, and also provides excellent…

Chemical Physics · Physics 2014-04-07 Raymond Angélil , Jürg Diemand , Kyoko K. Tanaka , Hidekazu Tanaka

We extend previous analysis of data for the melt-nucleus interfacial free energy, $\gamma$, gained from optical experiments on suspensions of charged colloidal spheres, which crystallize with body centred cubic (bcc) crystal structures.…

Soft Condensed Matter · Physics 2014-03-26 Thomas Palberg , Patrick Wette , Dieter M. Herlach

We determined bulk crystal nucleation rates in aqueous suspensions of charged spheres at low metastability. Experiments were performed in dependence on electrolyte concen-tration and for two different particle number densities. The…

Soft Condensed Matter · Physics 2021-11-04 Jürgen Schwarz , Paul Leiderer , Thomas Palberg

By critically examining the traditional theory of homogeneous nucleation of precipitates in solid solutions, it is revealed that the theory's assertion regarding an increase in the nucleation free energy due to elastic strain associated…

Materials Science · Physics 2024-05-01 M. S. Veshchunov

We present computer simulations of a simple bead-spring model for polymer melts with intramolecular barriers. By systematically tuning the strength of the barriers, we investigate their role on the glass transition. Dynamic observables are…

Soft Condensed Matter · Physics 2015-05-14 Marco Bernabei , Angel J. Moreno , Juan Colmenero

Accurate Gibbs free energies of Fe clusters are required for predictive modeling of Fe cluster growth during condensation of a cooling vapor. We present a straightforward method of calculating free energies of cluster formation using the…

The temperature dependence of the solid-liquid interfacial free energy, {\gamma}, is investigated for Al and Ni at the undercooled temperature regime based on a recently developed persistent-embryo method. The atomistic description of the…

Chemical Physics · Physics 2018-11-06 Yang Sun , Feng Zhang , Huajing Song , Mikhail I. Mendelev , Cai-Zhuang Wang , Kai-Ming Ho

The interfacial free energy is a central quantity in crystallization from the meta-stable melt. In suspensions of charged colloidal spheres, nucleation and growth kinetics can be accurately measured from optical experiments. In previous…

Soft Condensed Matter · Physics 2016-03-23 Thomas Palberg , Patrick Wette , Dieter M. Herlach
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