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Over recent years, molecular simulations have provided invaluable insights into the microscopic processes governing the initial stages of crystal nucleation and growth. A key aspect that has been observed in many different systems is the…

Soft Condensed Matter · Physics 2023-05-31 Jutta Rogal , Grisell Díaz Leines

A recently formulated description of homogeneous nucleation for Brownian particles in the over-damped limit based on fluctuating hydrodynamics is used to determine the nucleation pathway, characterized as the most likely path (MLP), for the…

Soft Condensed Matter · Physics 2012-10-18 James F. Lutsko

Homogeneous nucleation is formulated within the context of fluctuating hydrodynamics. It is shown that for a colloidal or macromolecular system in the strong damping limit the most likely path for nucleation can be determined by gradient…

Soft Condensed Matter · Physics 2011-10-27 James F. Lutsko

The nucleation of a droplet of stable cylinder phase from a metastable lamellar phase is examined within the single-mode approximation to the Brazovskii model for diblock copolymer melts. By employing a variational ansatz for the droplet…

Soft Condensed Matter · Physics 2009-11-10 Robert A. Wickham , An-Chang Shi , Zhen-Gang Wang

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

Colloidal model systems allow studying crystallization kinetics under fairly ideal conditions with rather well characterized pair interactions and minimized external influences. In complementary approaches therefore experiment, analytic…

Soft Condensed Matter · Physics 2015-06-19 Thomas Palberg

Starting from a general classical model of many interacting particles we present a well defined step by step procedure to derive the continuum-mechanics equations of nonlinear elasticity theory with fluctuations which describe the…

Statistical Mechanics · Physics 2022-06-02 Rudolf Haussmann

The interplay between crystal nucleation and the structure of the metastable fluid has been a topic of significant debate over recent years. In particular, it has been suggested that even in simple model systems such as hard or charged…

Soft Condensed Matter · Physics 2025-02-19 Marjolein de Jager , Frank Smallenburg , Laura Filion

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

In this work a phenomenological stochastic differential equation is proposed to model the time evolution of the radius of a pre-critical molecular cluster during nucleation (the classical order parameter). Such a stochastic differential…

Chemical Physics · Physics 2013-10-25 Miguel A. Durán-Olivencia , Fermín Otálora

The aim of this work is the development of scientifically based ways of influencing the process of nucleation of crystallization centres to control the cast structure and the properties of blanks at the casting stage. The possibility of…

Classical theories of crystal nucleation and growth from the liquid assume activated processes that are interface limited, with the atoms individually joining the growing interface by jumps that occur at a rate that is determined by the…

Atomic Physics · Physics 2023-01-02 Fangzheng Chen , Zohar Nussinov , K. F. Kelton

The crystallization of a metastable melt is one of the most important non equilibrium phenomena in condensed matter physics, and hard sphere colloidal model systems have been used for several decades to investigate this process by…

Soft Condensed Matter · Physics 2015-05-20 Tanja Schilling , Sven Dorosz , Hans Joachim Schoepe , George Opletal

Nucleation phenomena commonly observed in our every day life are of fundamental, technological and societal importance in many areas, but some of their most intimate mechanisms remain however to be unravelled. Crystal nucleation, the early…

Disordered Systems and Neural Networks · Physics 2021-09-17 Sébastien Becker , Emilie Devijver , Rémi Molinier , Noël Jakse

Classical nucleation theory has been recently reformulated based on fluctuating hydrodynamics [J.F. Lutsko and M.A. Dur\'{a}n-Olivencia, J. Chem. Phys. 138, 244908 (2013)]. The present work extends this effort to the case of nucleation in…

Soft Condensed Matter · Physics 2015-02-20 Miguel A. Durán-Olivencia , James F. Lutsko

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 thermodynamics and kinetics of crystallization of nanoparticles, as opposed to bulk phases, may be influenced by surface and size effects. We investigate the importance of such factors in the crystallization process of gold, silver, and…

Statistical Mechanics · Physics 2024-07-09 Arthur France-Lanord , Sarath Menon , Julien Lam

We review theoretical and simulational approaches to the description of equilibrium bulk crystal and interface properties as well as to the nonequilibrium processes of homogeneous and heterogeneous crystal nucleation for the simple model…

Soft Condensed Matter · Physics 2014-02-03 Francesco Turci , Tanja Schilling , Mohammad Hossein Yamani , Martin Oettel

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

We present nonlinear dynamic equations for nematic and smectic $A$ liquid crystals in the presence of an alternating electric field and explain their derivation in detail. The local electric field acting in any liquid-crystalline system is…

Soft Condensed Matter · Physics 2023-06-30 E. S. Pikina , E. I. Kats , A. R. Muratov , V. V. Lebedev