Stochastic generalization for a hyperbolic model of spinodal decomposition

Autor:	Irina O. Lysenko, Dmitrii O. Kharchenko, Peter Galenko
Rok vydání:	2010
Předmět:	Statistics and Probability Physics Spinodal Partial differential equation Spinodal decomposition Relaxation (physics) Flux Statistical physics Diffusion (business) Condensed Matter Physics Structure factor Exponential function
Zdroj:	Physica A: Statistical Mechanics and its Applications. 389:3443-3455
ISSN:	0378-4371
DOI:	10.1016/j.physa.2010.05.002
Popis:	A model for diffusion and phase separation which takes into account exponential relaxation of the solute diffusion flux and its fluctuations is developed. The model describes a system undergoing phase separation governed by a partial differential equation of hyperbolic type. The analysis is done for the evolution of patterns in spinodal decomposition for the system supercooled below critical temperature. Analytical results show that relaxation processes of the solute diffusion flux lead to the selection of patterns with different wavenumbers. Considering spatial–temporal correlations of the flux fluctuations, we have found that the temporal correlations promote selecting large-period patterns, whereas the corresponding spatial correlations accelerate such processes.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::27ea8cb8e0934d0a6f0900dd13068405 https://doi.org/10.1016/j.physa.2010.05.002 Zobrazit plný text záznamu Full Text from ScienceDirect