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Related papers: Classical nucleation theory of ice nucleation: sec…

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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

The prevalence of heterogeneous nucleation in nature was explained qualitatively by the classical theory for heterogeneous nucleation established over more than 60 years ago, but the quantitative validity and the key conclusions of the…

Chemical Physics · Physics 2015-06-11 Raffaela Cabriolu , Tianshu Li

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

Despite the simplicity of the water molecule, the kinetics of ice nucleation under natural conditions can be complex. We investigated spontaneously grown ice nuclei using all-atom molecular dynamics simulations and found significant…

Soft Condensed Matter · Physics 2025-04-28 Maodong Li , Yupeng Huang , Yijie Xia , Dechin Chen , Cheng Fan , Lijiang Yang , Yi Qin Gao , Yi Isaac Yang

Ice nucleation is greatly important in areas as diverse as climate change, cryobiology, geology or food industry. Predicting the ability of a substrate to induce the nucleation of ice from supercooled water is a difficult problem. Here, we…

Materials Science · Physics 2026-01-12 Miguel Camarillo , Javier Oller-Iscar , María M. Conde , Jorge Ramírez , Eduardo Sanz

Estimating the homogeneous ice nucleation rate from undercooled liquid water is at the same time crucial for understanding many important physical phenomena and technological applications, and challenging for both experiments and theory.…

Statistical Mechanics · Physics 2025-10-06 Bingqing Cheng , Christoph Dellago , Michele Ceriotti

A new approach that is a combination of classical thermodynamics and macroscopic kinetics is offered for studying the nucleation kinetics in condensed binary solutions. The theory covers the separation of liquid and solid solutions…

Chemical Physics · Physics 2018-11-14 Nikolay V. Alekseechkin

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

Ice formation is ubiquitous in nature, with important consequences in a variety of environments, including biological cells, soil, aircraft, transportation infrastructure and atmospheric clouds. However, its intrinsic kinetics and…

Chemical Physics · Physics 2015-08-05 Amir Haji-Akbari , Pablo G. Debenedetti

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 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

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

Having discovered a dimension mistake in two key formulas of the Classical Nucleation Theory (CNT) but wishing to remain in the style of this theory, we propose to approach nucleation on the basis of the Zeldovich unsteady rate formula,…

Statistical Mechanics · Physics 2018-03-12 Laurent-Charles Valdès , Frédéric Affouard

Among all the freezing transitions, that of water into ice is probably the most relevant to biology, physics, geology or atmospheric science. In this work we investigate homogeneous ice nucleation by means of computer simulations. We…

Soft Condensed Matter · Physics 2013-12-04 E. Sanz , C. Vega , J. R. Espinosa , R. Caballero-Bernal , J. L. F. Abascal , C. Valeriani

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

One of water's unsolved puzzles is the question of what determines the lowest temperature to which it can be cooled before freezing to ice. The supercooled liquid has been probed experimentally to near the homogeneous nucleation temperature…

Soft Condensed Matter · Physics 2011-12-08 Emily B. Moore , Valeria Molinero

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

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

Ice nucleation is a process of great relevance in physics, chemistry, technology and environmental sciences, much theoretical and experimental efforts have been devoted to its understanding, but still it remains a topic of intense research.…

Soft Condensed Matter · Physics 2019-06-26 Haiyang Niu , Yi Isaac Yang , Michele Parrinello

Molecular simulations have provided valuable insight into the microscopic mechanisms underlying homogeneous ice nucleation. While empirical models have been used extensively to study this phenomenon, simulations based on first-principles…

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