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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

Driven suspensions, where energy is input at a particle scale, are a framework for understanding general principles of out-of-equilibrium organization. A large number of simple interacting units can give rise to non-trivial structure and…

Soft Condensed Matter · Physics 2026-01-23 Pamud Akalanka Bethmage , Ryker Fish , Brennan Sprinkle , Michelle M. Driscoll

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

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

Recent theories of nucleation that go beyond Classical Nucleation Theory predict that diffusion-limited nucleation of both liquid droplets and of crystals from a low-density vapor (or weak solution) begins with long-wavelength density…

Statistical Mechanics · Physics 2020-05-27 James F. Lutsko , Julien Lam

By combining Monte Carlo simulations and analytical models, we demonstrate and explain how the gas-to-liquid phase transition of colloidal systems confined to a spherical surface depends on the curvature and size of the surface, and on the…

Computational Physics · Physics 2018-06-12 Jack O. Law , Alex G. Wong , Halim Kusumatamja , Mark A. Miller

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

The conventional theory of homogeneous and heterogeneous nucleation in a supersaturated vapor is tested by Monte Carlo simulations of the lattice gas (Ising) model with nearest-neighbor attractive interactions on the simple cubic lattice.…

Soft Condensed Matter · Physics 2013-05-07 Fabian Schmitz , Peter Virnau , Kurt Binder

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

We use Brownian Dynamics simulations in combination with the umbrella sampling technique to study the effect of shear flow on homogeneous crystal nucleation. We find that a homogeneous shear rate leads to a significant suppression of the…

Soft Condensed Matter · Physics 2009-11-10 Ronald Blaak , Stefan Auer , Daan Frenkel , Hartmut Lowen

We investigate simultaneous effects of finite system size and global charge conservation on thermal fluctuations in the vicinity of a critical point. For that we consider a finite interacting system which exchanges particles with a finite…

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…

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 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

We present a new model of homogeneous aggregation that contains the essential physical ideas of the classical predecessors, the Becker-Doring and Lifshitz-Slyovoz models. These classical models, which give different predictions, are…

Statistical Mechanics · Physics 2008-10-23 Yossi Farjoun

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

The finite-size scaling theory for continuous phase transition plays an important role in determining critical point and critical exponents from the size-dependent behaviors of quantities in the thermodynamic limit. For percolation phase…

Statistical Mechanics · Physics 2017-10-10 Yong Zhu , Xiaosong Chen

It is well known that the similar universal behavior of infinite-size (bulk) systems of different nature requires the same basic conditions: space dimensionality; number components of order parameter; the type (short- or long-range) of the…

Studies of nucleation generally focus on the properties of the critical cluster, but the presence of defects within the crystal lattice means that the population of nuclei necessarily evolve through a distribution of pre-critical clusters…

Soft Condensed Matter · Physics 2022-06-29 Richard K. Bowles , Peter Harrowell

We analyze thermodynamics of water samples confined in nanopores and prove that although the freezing temperature can be dramatically lower, the suppression of the ice nucleation leading to the freezing temperature depression is a truly…

Soft Condensed Matter · Physics 2012-06-18 P. O. Fedichev , L. I. Menshikov