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Related papers: Various approximations for nucleation kinetics und…

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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…

Chemical Physics · Physics 2007-05-23 Victor Kourassov

The properties of the evolution equation have been analyzed. The uniqueness and the existence of solution for the evolution equation with special value of parameter characterizing intensity of change of external conditions, of the…

Statistical Mechanics · Physics 2007-05-23 Victor Kurasov

Kinetics of the first order phase transition is investigated. In some rather wide spread situations the property of avalanche growth of the objects of a new phase doesn't take place. This radically complicates the theoretical description of…

Condensed Matter · Physics 2007-05-23 Victor Kurasov

The nucleation process under different external conditions is considered. It is shown that the duration of this process can be connected with the microscopic corrections to the free energy of the critical embryo. Connection between…

Statistical Mechanics · Physics 2008-08-25 Victor Kurasov

The periods after the end of the "primary" nucleation are considered. The approximate analytical description is given. The process is split into several periods which form the loop of evolution.

Statistical Mechanics · Physics 2007-05-23 Victor Kurasov

A simple method to get all main characteristics of nucleation process is proposed. The advantage of this method is an applicability to situations with non-linear behavior in time of effective external source of vapor. It is important…

Statistical Mechanics · Physics 2007-05-23 Victor Kurasov

A general theory of nucleation for colloids and macromolecules in solution is formulated within the context of fluctuating hydrodynamics. A formalism for the determination of nucleation pathways is developed and stochastic differential…

Soft Condensed Matter · Physics 2012-01-23 James F. Lutsko

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

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

This review concentrates on the two principle methods used to evolve nuclear abundances within astrophysical simulations, evolution via rate equations and via equilibria. Because in general the rate equations in nucleosynthetic applications…

Astrophysics · Physics 2007-05-23 W. R. Hix , F. -K. Thielemann

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

We present some recent results concerning the long time semiclassical approximation .

Analysis of PDEs · Mathematics 2009-01-22 Thierry Paul

The late stages of the nucleation have been described analytically. The approximate solution of the Zel'dowich-Folmer-Frenkel equation has been constructed.

Statistical Mechanics · Physics 2008-01-03 Victor Kurasov

We present approximative solutions to the neutrino evolution equation calculated by different methods. In a two neutrino framework, using the physical parameters which gives the main effects to neutrino oscillations from nu{e} to another…

High Energy Physics - Phenomenology · Physics 2008-11-26 Verissimo M. de Aquino , J. S. S. de Oliveira

The nucleation of crystals in liquids is one of nature's most ubiquitous phenomena, playing an important role in areas such as climate change and the production of drugs. As the early stages of nucleation involve exceedingly small time and…

Over the billions of years since the Big Bang, the lives, deaths and afterlives of stars have enriched the Universe in the heavy elements that make up so much of ourselves and our world. This review summarizes the methods used to evolve…

Astrophysics · Physics 2016-08-30 W. R. Hix , B. S. Meyer

The full evolution during the late periods of the condensation process is described in the analytical form. The process is split into several periods and for every period the simple approximate solution is given.

Statistical Mechanics · Physics 2010-11-17 Victor Kurasov

A variational lattice model is proposed to define an evolution of sets from a single point (nucleation) following a criterion of "maximization" of the perimeter. At a discrete level, the evolution has a "checkerboard" structure and its…

Analysis of PDEs · Mathematics 2021-10-27 Andrea Braides , Giovanni Scilla , Antonio Tribuzio

An analytical model for the evolution of the boundary of the new phase in transformations ruled by nucleation and growth is presented. Both homogeneous and heterogeneous nucleation have been considered: The former includes transformations…

Materials Science · Physics 2020-08-26 Massimo Tomellini

Sterile neutrinos are thermalised in the early Universe via oscillations with the active neutrinos for certain mixing parameters. The most detailed calculation of this thermalisation process involves the solution of the momentum-dependent…

High Energy Physics - Phenomenology · Physics 2015-08-19 Steen Hannestad , Rasmus Sloth Hansen , Thomas Tram , Yvonne Y. Y. Wong
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