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Zr and Sc precipitate in aluminum alloys to form the compounds Al3Zr and Al3Sc which for low supersaturations of the solid solution have the L12 structure. The aim of the present study is to model at an atomic scale this kinetics of…

Materials Science · Physics 2009-11-10 Emmanuel Clouet , Maylise Nastar , Christophe Sigli

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

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

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

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), 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

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 Langer-Schwartz equations for precipitation are formulated to calculate nucleation, growth and coarsening of second phase precipitates under non-isothermal situations. A field-theoretic steady-state nucleation rate model is used in the…

Materials Science · Physics 2007-05-23 A. R. Massih , L. O. Jernkvist

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 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

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…

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

Precipitation during high temperature aging of Al-Cu alloys is analyzed by means of the integration of classical nucleation theory and phase-field simulations into a multiscale modelling approach based on well-established thermodynamics…

Materials Science · Physics 2019-02-08 H. Liu , I. Papadimitriou , F. X. Lin , J. LLorca

We address problems arising in supersaturated systems of small atomic particles in solids. Nucleation processes in such systems do not seem to follow the classical interpretation but may be indicative of quantal nucleation partucularly at…

Materials Science · Physics 2009-02-05 Mladen Georgiev

During the processes of nucleation and growth of a precipitate cluster from a supersaturated solution, the diffusion flux between the cluster and the solution changes the solute concentration near the cluster-solution interface from its…

Chemical Physics · Physics 2016-06-08 Alexander Borisenko

Zr and Sc precipitate in aluminum alloys to form the Al\_3Zr\_xSc\_{1-x} compound which, for low supersaturations of the solid solution, exhibits the L1\_2 structure. The aim of the present study is to model at an atomic scale the kinetics…

Materials Science · Physics 2007-05-23 Emmanuel Clouet , Maylise Nastar , Alain Barbu , Christophe Sigli , Georges Martin

Nucleation is an out-of-equilibrium process, which can be strongly affected by the presence of external fields. In this letter, we report a simple extension of classical nucleation theory to systems submitted to an homogeneous shear flow.…

Statistical Mechanics · Physics 2013-06-17 Anatolii V. Mokshin , Bulat N. Galimzyanov , Jean-Louis Barrat

In this work we show that the standard method to obtain nucleation rate-predictions with the aid of atomistic Monte-Carlo simulations leads to nucleation rate predictions that deviate $3-5$ orders of magnitude from the recent brute-force…

Nuclear Theory · Physics 2015-09-30 Marco Schweizer , Leonard Sagis

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

Large deviation theory (LDT) provides a mathematical framework to quantify the probabilities of rare events in stochastic systems. In this study, we applied LDT to model a chemical reaction system and demonstrated that the fluctuation…

Chemical Physics · Physics 2025-01-22 Tatsuaki Tsuruyama
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