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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

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

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

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

Classical nucleation theory (CNT) is built upon the capillarity approximation, i.e., the assumption that the nucleation properties can be inferred from the bulk properties of the melt and the crystal. Although CNT's simplicity and…

In this work, we study by means of simulations of hard spheres the equilibrium between a spherical solid cluster and the fluid. In the NVT ensemble we observe stable/metastable clusters of the solid phase in equilibrium with the fluid,…

Soft Condensed Matter · Physics 2024-01-25 P. Montero de Hijes , Jorge. R. Espinosa , Valentino Bianco , Eduardo Sanz , Carlos Vega

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

Nucleation at large metastability is still largely an unsolved problem, although is a problem of tremendous current interest, with wide practical value. It is well-accepted that the classical nucleation theory (CNT) fails to provide a…

Statistical Mechanics · Physics 2010-12-22 Mantu Santra , Rakesh S. Singh , Biman Bagchi

The well-known classical nucleation theory (CNT) for the free energy barrier towards formation of a nucleus of critical size of the new stable phase within the parent metastable phase fails to take into account the influence of other…

Statistical Mechanics · Physics 2015-06-18 Rakesh S. Singh , Biman Bagchi

A common approach to study nucleation rates is the estimation of free-energy barriers. This usually requires knowledge about the shape of the forming droplet, a task that becomes notoriously difficult in macromolecular setups starting with…

Statistical Mechanics · Physics 2017-03-28 Johannes Zierenberg , Philipp Schierz , Wolfhard Janke

Recent very large molecular dynamics simulations of homogeneous nucleation with $(1-8) \cdot 10^9$ Lennard-Jones atoms [Diemand et al. J. Chem. Phys. {\bf 139}, 074309 (2013)] allow us to accurately determine the formation free energy of…

Atomic and Molecular Clusters · Physics 2015-06-19 Kyoko K. Tanaka , Jürg Diemand , Raymond Angélil , Hidekazu Tanaka

We present a simulation technique to evaluate the most important quantity for nucleation processes: the nucleation barrier, i.e. the free energy of formation of the critical cluster. The method is based on stabilizing a small cluster by…

Statistical Mechanics · Physics 2026-03-13 Adrian Llamas-Jaramillo , Ivan Latella , David Reguera

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

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

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

We revisit classical nucleation theory (CNT) for the homogeneous bubble nucleation rate and improve the classical formula using a new prefactor in the nucleation rate. Most of the previous theoretical studies have used the constant…

Chemical Physics · Physics 2015-07-19 Kyoko K. Tanaka , Hidekazu Tanaka , Raymond Angélil , Jürg Diemand

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

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

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
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