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Related papers: Nucleation and growth of a core-shell composite nu…

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The critical radius of a nucleus grown by diffusion in a solution is studied thermodynamically as well as kinetically. The thermodynamic growth equation called Zeldovich equation of classical nucleation theory (CNT) and the kinetic…

Soft Condensed Matter · Physics 2014-03-05 Masao Iwamatsu

The kinetics of nucleation of a core-shell composite nucleus that consists of a core of stable final phase surrounded by a wetting layer of intermediate metastable phase is studied using the kinetic theory of binary nucleation not only in…

Materials Science · Physics 2015-06-11 Masao Iwamatsu

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

Phase transitions ruled by nucleation and growth can occur by nonrandom arrangement of nuclei. This is verified, for instance, in thin film growth at solid surfaces by vapor condensation or by electrodeposition where, around each nucleus, a…

Statistical Mechanics · Physics 2025-06-11 M. Tomellini

Nucleation and growth is the dominant relaxation mechanism driving first order phase transitions. In two-dimensional at systems nucleation has been applied to a wide range of problems in physics, chemistry and biology. Here we study…

Soft Condensed Matter · Physics 2016-03-09 Leopoldo R. Gomez , Nicolas A. Garcia , Vincenzo Vitelli , Jose Lorenzana , Daniel A. Vega

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

Homogeneous nucleation, a textbook transition path for phase transitions, is typically understood on thermodynamic grounds through the prism of classical nucleation theory. However, recent studies have suggested the applicability of…

Soft Condensed Matter · Physics 2025-12-08 Luke Langford , Ahmad K. Omar

The phase separation mechanism of a binary liquid mixture off-critically quenched in its miscibility gap is nucleation and growth, its homogeneous phase reaching a metastable equilibrium state. The successive stages of growth of the…

Statistical Mechanics · Physics 2009-11-18 Jean Colombani , Jacques Bert

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 two different models…

Materials Science · Physics 2009-11-10 J. C. Neu , L. L. Bonilla , A. Carpio

The solid diffusive phase transformation involving the nucleation and growth of one nucleus is universal and frequently employed but has not yet been fully understood at the atomic level. Here, our first-principles calculations reveal a…

Materials Science · Physics 2023-09-12 Junyuan Bai , Hongbo Xie , Xueyong Pang , Min Jiang , Gaowu Qin

We study the conditions under which and how an imposed cluster of fixed colloidal particles at prescribed positions triggers crystal nucleation from a metastable colloidal fluid. Dynamical density functional theory of freezing and Brownian…

Soft Condensed Matter · Physics 2009-11-13 Sven van Teeffelen , Christos N. Likos , Hartmut Löwen

Phase diagrams of some globular proteins have a fluid-fluid transition as well as a fluid-crystal transition. Homogeneous nucleation of the crystal from the fluid phase near the critical point of the fluid-fluid transition is examined. As…

Soft Condensed Matter · Physics 2009-10-31 Richard P. Sear

We study pore nucleation in a model membrane system, a freestanding polymer film. Nucleated pores smaller than a critical size close, while pores larger than the critical size grow. Holes of varying size were purposefully prepared in liquid…

Soft Condensed Matter · Physics 2017-01-04 Mark Ilton , Christian DiMaria , Kari Dalnoki-Veress

All gravitationally bound clusters expand, due to both gas loss from their most massive members and binary heating. All are eventually disrupted tidally, either by passing molecular clouds or the gravitational potential of their host…

Astrophysics of Galaxies · Physics 2014-07-22 Ryan M. O'Leary , Steven W. Stahler , Chung-Pei Ma

Nucleation on top of two-dimensional islands with step edge barriers is investigated using scaling arguments. The nucleation rate is expressed in terms of three basic time scales: The time interval between deposition events, the residence…

Materials Science · Physics 2009-10-31 Joachim Krug

We find a new method to deduce nuclear radii from proton-nucleus elastic scattering data. In this method a nucleus is viewed as a ``black'' sphere. A diffraction pattern of protons by this sphere is equivalent to that of the Fraunhofer…

Nuclear Theory · Physics 2009-11-10 Akihisa Kohama , Kei Iida , Kazuhiro Oyamatsu

Geometrical arguments suggest that pore-mediated nucleation happens in general in a two-step fashion, the first step being nucleation within the pore, the second being nucleation from the filled pore into solution [Page & Sear, Phys. Rev.…

Soft Condensed Matter · Physics 2013-10-14 Lester O. Hedges , Stephen Whitelam

We have constructed a complete hydrodynamic theory of nucleation and growth in a one--dimensional version of an elastic shear martensitic transformation with open boundary conditions where we have accounted for interfacial energies with…

Condensed Matter · Physics 2007-05-23 B. P. van Zyl , R. J. Gooding

The size of the core is one of the main diagnostics of the evolutionary state of a globular cluster. Much has been learned over the last few years about the behavior of the core radius during and after core collapse, under a variety of…

Astrophysics · Physics 2007-05-23 Piet Hut

In this paper we study a nonlinear free boundary problem on the radial growth of a two-layer solid tumor with a quiescent core. The tumor surface and its inner interface separating the proliferating cells and the quiescent cells are both…

Analysis of PDEs · Mathematics 2025-01-09 Junde Wu , Hao Xu , Yuehong Zhuang
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