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A system with a metastable phase and a pseudo continuous set of the heterogeneous centers is considered. An analytical theory for kinetics of the process of condensation in such a system is constructed. The free energy of formation of the…

Condensed Matter · Physics 2007-05-23 V. Kurasov

A system of a metastable phase with several sorts of the heterogeneous centers is considered. An analytical theory for the process of decay in such a system has been constructed. The free energy of formation of the critical embryo is…

Condensed Matter · Physics 2007-05-23 V. Kurasov

A system of a metastable phase with several sorts of heterogeneous centers is considered. An analytical theory for the process of decay in such a system has been constructed. The free energy of formation of a critical embryo is assumed to…

Statistical Mechanics · Physics 2007-05-23 V. Kurasov

A system of a metastable phase with several sorts of heterogeneous centers is considered. An analytical theory for the process of decay in such a system has been constructed. The free energy of formation of a critical embryo is assumed to…

Statistical Mechanics · Physics 2007-05-23 V. Kurasov

A system of a metastable phase with a pseudo continuous set of the heterogeneous centers is considered. An analytical theory for kinetics of decay of the metastable phase in such a system is constructed. The free energy of formation of a…

Condensed Matter · Physics 2007-05-23 V. Kurasov

The situation of the decay of the metastable phase on the several types of heterogeneous centers is described analytically. The total number of heterogeneous centers is supposed to be equal for different types. This description decomposes…

Statistical Mechanics · Physics 2007-05-23 V. Kurasov

The theoretical description of the heterogeneous nucleation kinetics is presented. This description takes into account the perturbation of the vapor phase initiated by the growing droplets. The form of the density profile around the growing…

Statistical Mechanics · Physics 2009-10-31 Victor Kurasov

A model to describe the arising of new structures in an initial homogeneous biological system is proposed. The essay is motivated by the intention to work on a non-equilibrium situation grouping together several mechanisms and processes as:…

Biological Physics · Physics 2007-05-23 P. C. T. Dajello , P. R. Hauser

An expression for the free energy of embryo formation is constructed and analyzed. The Gibbs dividing surfaces method is used to attain a coincidence between Laplace formula for critical embryo and integral definitions of concenterations…

Statistical Mechanics · Physics 2007-05-23 Victor Kurasov

We study the homogenization of a diffusion process which takes place in a binary structure formed by an ambiental connected phase surrounding a suspension of very small spheres distributed in an $\veps$-periodic network. The asymptotic…

Analysis of PDEs · Mathematics 2007-05-23 Fadila Bentalha , Isabelle Gruais , Dan Polisevski

In this paper, we use the cell dynamics method to study the dynamics of phase transformation when three phases exist. The system we study is a two-dimensional system. The system is able to achieve three phases coexistence, which for…

Materials Science · Physics 2009-11-11 M. Iwamatsu

A new simple method for description of the nucleation process on the wide class of heterogeneous centers is given. The nucleation occurs on the heterogeneous centers with different heights of activation barriers. The distribution of the…

Condensed Matter · Physics 2007-05-23 V. Kurasov

We study a zero-range process with system-size dependent jump rates, which is known to exhibit a discontinuous condensation transition. Metastable homogeneous phases and condensed phases coexist in extended phase regions around the…

Statistical Mechanics · Physics 2015-06-30 Paul Chleboun , Stefan Grosskinsky

The Zero-Range Process, in which particles hop between sites on a lattice under conserving dynamics, is a prototypical model for studying real-space condensation. Within this model the system is critical only at the transition point. Here…

Statistical Mechanics · Physics 2009-11-13 A. G. Angel , M. R. Evans , E. Levine , D. Mukamel

The situation of the metastable phase decay on the several types of heterogeneous centers is considered. The iteration procedure is formulated and with the help of the avalanche consumption property all iterations can be calculated. The…

Statistical Mechanics · Physics 2007-05-23 V. Kurasov

The phase transition kinetics in three phase systems was investigated using the numerically efficient cell dynamics method. A phasefield model with a simple analytical free energy and single order parameter was used to study the kinetics…

Materials Science · Physics 2010-03-23 Masao Iwamatsu

The situation of the metastable phase decay on the several types of heterogeneous centers is considered. The method to spread the monodisperse approximation on the situation of the strong unsymmetry is presented. The simple analytical…

Statistical Mechanics · Physics 2007-05-23 V. Kurasov

Homogeneous nucleation of a new phase near a second, continuous, transition, is considered. The continuous transition is in the metastable region associated with the first-order phase transition, one of whose coexisting phases is…

Statistical Mechanics · Physics 2009-11-07 Richard P. Sear

Singularities in macroscopic systems at discontinuous phase transitions are replaced in finite systems by sharp but continuous changes. Both the energy differences between metastable and stable phases and the energy barriers separating…

Statistical Mechanics · Physics 2009-11-13 Alexander Patashinski , Mark Ratner

In the framework of the theoretical model of the phase transition of binary solutions into spatially inhomogeneous states proposed earlier by the autors [1], which takes into account nonlinear effects, the role of the cubic in concentration…

Statistical Mechanics · Physics 2023-03-14 Yu. M. Poluektov , A. A. Soroka
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