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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…

材料科学 · 物理学 2023-11-22 Fangzheng Chen , Kian Cole Dahlberg , Zohar Nussinov , K. F. Kelton

Several aspects of the theory of epitaxial crystal growth from atomic or molecular beams are developed from the perspective of statistical physics. Lectures are devoted to the rate equation theory of two-dimensional nucleation and its…

统计力学 · 物理学 2009-11-07 Joachim Krug

The trajectories of neutrons in the reactor, the points of their fission of uranium nuclei, the points of neutron absorption, fission chains and chain reactions are considered from the standpoint of fractal geometry and percolation theory.…

统计力学 · 物理学 2024-03-21 V. V. Ryazanov

Boundary-catalytic branching processes describe a broad class of natural phenomena where the population of diffusing particles grows due to their spontaneous binary branching (e.g., division, fission or splitting) on a catalytic boundary…

统计力学 · 物理学 2026-03-05 Denis S. Grebenkov , Yilin Ye

Structural aspects of crystal nucleation in undercooled liquids are explored using a nonlinear hydrodynamic theory of crystallization proposed recently [G. I. Toth et al., J. Phys.: Condens. Matter 26, 055001 (2014)], which is based on…

材料科学 · 物理学 2017-05-24 Frigyes Podmaniczky , Gyula I. Toth , Gyorgy Tegze , Laszlo Granasy

Homogeneous nucleation of the new phase of one transition near a second phase transition is considered. The system has two phase transitions, we study the nucleation of the new phase of one of these transitions under conditions such that we…

统计力学 · 物理学 2009-11-07 Z. Tavassoli , R. P. Sear

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…

软凝聚态物质 · 物理学 2009-11-10 Robert A. Wickham , An-Chang Shi , Zhen-Gang Wang

The strictly reversible, thermodynamically equilibrium nature of the free rotation of a body makes it possible to obtain a number of bounds on the rotational characteristics within individual rotational bands of nonspherical nuclei. As a…

核理论 · 物理学 2007-05-23 V. G. Nosov , A. M. Kamchatnov

In this work, we study the crystalline nuclei growth in glassy systems focusing primarily on the early stages of the process, at which the size of a growing nucleus is still comparable with the critical size. On the basis of molecular…

无序系统与神经网络 · 物理学 2017-04-10 Anatolii V. Mokshin , Bulat N. Galimzyanov

Results for the kinetics of vapor-liquid transitions, following temperature quenches with different densities, are presented from the molecular dynamics simulations of a Lennard-Jones system. For critical density, bicontinuous liquid and…

统计力学 · 物理学 2018-03-09 Sutapa Roy , Subir K. Das

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…

统计力学 · 物理学 2010-12-22 Mantu Santra , Rakesh S. Singh , Biman Bagchi

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…

软凝聚态物质 · 物理学 2015-02-20 Miguel A. Durán-Olivencia , James F. Lutsko

The nonisothermal single-component theory of droplet nucleation (Alekseechkin, 2014) is extended to binary case; the droplet volume V, composition x, and temperature T are the variables of the theory. An approach based on macroscopic…

化学物理 · 物理学 2015-09-02 Nikolay V. Alekseechkin

Data from a number of different experimental measurements have been used to construct caloric curves for five different regions of nuclear mass. These curves are qualitatively similar and exhibit plateaus at the higher excitation energies.…

核实验 · 物理学 2009-11-07 J. B. Natowitz , R. Wada , K. Hagel , T. Keutgen , M. Murray , A. Makeev , L. Qin , P. Smith , C. Hamilton

Transient homogeneous nucleation is studied in the limit of large critical sizes. Starting from pure monomers, three eras of transient nucleation are characterized in the classic Becker-D\"oring kinetic equations with the Turnbull-Fisher…

统计力学 · 物理学 2007-05-23 L. L. Bonilla , A. Carpio , Y. Farjoun , J. C. Neu

Consider the linear Boltzmann equation of radiative transfer in a half-space, with constant scattering coefficient $\sigma$. Assume that, on the boundary of the half-space, the radiation intensity satisfies the Lambert (i.e. diffuse)…

偏微分方程分析 · 数学 2018-09-18 Claude Bardos , François Golse , Iván Moyano

Different approximations to describe nucleation kinetics have been analyzed. Some new approximations for solution of diffusion problem are proposed. Error of the approximation with constant radius of an embryo is clarified. The theory is…

化学物理 · 物理学 2007-05-23 Victor Kourassov

A microscopic model for thermal excitation of vibrational ground state of a molecule interacting with a condensed medium is developed. The master equation for evolution of occupancies of the vibrational levels is derived. The rate constant…

统计力学 · 物理学 2011-03-04 V. I. Teslenko , D. Y. Iatsenko

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…

化学物理 · 物理学 2015-07-19 Kyoko K. Tanaka , Hidekazu Tanaka , Raymond Angélil , Jürg Diemand

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…

化学物理 · 物理学 2013-10-25 Miguel A. Durán-Olivencia , Fermín Otálora