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While statistical mechanics provides a comprehensive framework for the understanding of equilibrium phase behavior, predicting the kinetics of phase transformations remains a challenge. Classical nucleation theory (CNT) provides a…

Statistical Mechanics · Physics 2019-06-12 David Richard , Thomas Speck

Heterogeneous nucleation is a process wherein extrinsic impurities facilitate freezing by lowering nucleation barriers and constitutes the dominant mechanism for crystallization in most systems. Classical nucleation theory (\textsc{Cnt})…

Soft Condensed Matter · Physics 2026-05-12 Fernanda Sulantay Vargas , Sarwar Hussain , Amir Haji-Akbari

The classical nucleation theory (CNT) and its modified versions provide a convenient framework for describing the nucleation process under the capillary approximation. However, these models often predict nucleation rates that depart…

Soft Condensed Matter · Physics 2024-10-30 Yijian Wu , Thomas Philippe

It is shown that diffusion-limited classical nucleation theory (CNT) can be recovered as a simple limit of the recently proposed dynamical theory of nucleation based on fluctuating hydrodynamics (Lutsko, JCP 136, 034509 (2012)). The same…

Chemical Physics · Physics 2013-09-19 James F. Lutsko , Miguel A. Durán-Olivencia

The Classical Nucleation Theory (CNT) has played a key role in crystal nucleation studies since the 19th century and has significantly advanced the understanding of nucleation. However, certain key assumptions of CNT, such as a compact and…

Materials Science · Physics 2023-11-22 Fangzheng Chen , Kian Cole Dahlberg , Zohar Nussinov , K. F. Kelton

The foundation for any discussion of first-order phse transitions is Classical Nucleation Theory(CNT). CNT, developed in the first half of the twentieth century, is based on a number of heuristically plausible assumtptions and the majority…

Chemical Physics · Physics 2018-11-14 James F. Lutsko

We reconsider the applicability of classical nucleation theory (CNT) to the calculation of the free energy of solid cluster formation in a liquid and its use to the evaluation of interface free energies from nucleation barriers. Using two…

Statistical Mechanics · Physics 2012-06-19 Santi Prestipino , Alessandro Laio , Erio Tosatti

Classical nucleation theory (CNT), linking rare nucleation events to the free energy landscape of a growing nucleus, is central to understanding phase-change kinetics in passive fluids. Nucleation in non-equilibrium systems is much harder…

Soft Condensed Matter · Physics 2023-03-15 M. E. Cates , C. Nardini

Classical nucleation theory is used to estimate the free-energy barrier to nucleation of the solid phase of particles interacting via a potential which has a short-ranged attraction. Due to the high interfacial tension between the fluid and…

Soft Condensed Matter · Physics 2009-10-31 Richard P. Sear

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

The classical nucleation theory (CNT) concept of a nucleus as a fragment of the bulk new phase fails for nanosized nuclei. An extension of CNT taking into account the properties of the transition region between coexisting bulk phases is…

Chemical Physics · Physics 2017-06-09 Nikolay V. Alekseechkin

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

Nucleation in supersaturated vapor is investigated with two series of molecular dynamics simulations in the canonical ensemble. The applied methods are: (a) analysis of critical nuclei at moderate supersaturations by simulating equilibria…

Chemical Physics · Physics 2009-11-13 Martin Horsch , Jadran Vrabec , Hans Hasse

The Classical Nucleation Theory allegedly fails to describe the temperature dependence of the homogeneous crystal nucleation rates below the temperature of maximum nucleation, $T_{\mathrm{max}}$. Possible explanations for this suspected…

Soft Condensed Matter · Physics 2020-07-22 Daniel Roberto Cassar , André Hofmeister Serra , Oscar Peitl , Edgar Dutra Zanotto

Molecular dynamics simulations are widely used to investigate nucleation in first-order phase transitions. Brute-force simulations, though popular, are limited to conditions of high metastability, where the critical cluster and the…

Chemical Physics · Physics 2026-02-10 Thomas Philippe , Yijian Wu , Aymane Graini

An essential parameter of the Classical Nucleation Theory (CNT) is the surface energy between a critical-size nucleus and the ambient phase, $\sigma$. In condensed matter, this parameter cannot be experimentally determined independently of…

Soft Condensed Matter · Physics 2019-03-13 Daniel R. Cassar

Accurate estimate of nucleation rate is crucial for the study of ice nucleation and ice-promoting/anti-freeze strategies. Within the framework of Classical Nucleation Theory (CNT), the estimate of ice nucleation rate is very sensitive to…

Soft Condensed Matter · Physics 2021-07-07 Chaohong Wang , Hao Wang , Jianyang Wu , Zhisen Zhang

Based on classical nucleation theory, we propose a couple of theoretical models for the nucleation of polymer crystallization, i.e. one for a single chain system (Model S) and the other for a multi-chain system (Model M). In these models,…

Soft Condensed Matter · Physics 2019-07-05 Hiroshi Yokota , Toshihiro Kawakatsu

We carry out molecular dynamics (MD) and Monte Carlo (MC) simulations to characterize nucleation in liquid clusters of 600 Lennard-Jones particles over a broad range of temperatures. We use the formalism of mean first-passage times to…

Materials Science · Physics 2016-10-05 Shahrazad M. A. Malek , Gregory P. Morrow , Ivan Saika-Voivod

Nuclear density functional theory (DFT) is the only microscopic, global approach to the structure of atomic nuclei. It is used in numerous applications, from determining the limits of stability to gaining a deep understanding of the…

Nuclear Theory · Physics 2015-02-06 Nicolas Schunck , Jordan D. McDonnell , Jason Sarich , Stefan M. Wild , Dave Higdon
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