Patterns formation in ferrofluids and solid dissolutions using stochastic models with dissipative dynamics

A functional with interactions short-range and long-range low coarse-grained approximation is proposed. This functional satisfies models with dissipative dynamics A, B and the stochastic Swift-Hohenberg equation. Furthermore, terms associated with multiplicative noise source are added in these model...

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Bibliographic Details
Published in:The European physical journal. B, Condensed matter physics Condensed matter physics, 2016-08, Vol.89 (8), p.1-17, Article 182
Main Authors: Morales, Marco A., Fernández-Cervantes, Irving, Agustín-Serrano, Ricardo, Anzo, Andrés, Sampedro, Mercedes P.
Format: Article
Language:English
Subjects:
Binary alloys
Binary systems
Chromium
Complex Systems
Condensed Matter Physics
Copper base alloys
Dissipation
Fast Fourier transformations
Ferroalloys
Ferrofluids
Fluid- and Aerodynamics
Fourier transforms
Intermetallic compounds
Lead base alloys
Mathematical models
Molybdenum
Nickel base alloys
Physics
Physics and Astronomy
Regular Article
Solid phases
Solid State Physics
Tin
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Summary:A functional with interactions short-range and long-range low coarse-grained approximation is proposed. This functional satisfies models with dissipative dynamics A, B and the stochastic Swift-Hohenberg equation. Furthermore, terms associated with multiplicative noise source are added in these models. These models are solved numerically using the method known as fast Fourier transform. Results of the spatio-temporal dynamic show similarity with respect to patterns behaviour in ferrofluids phases subject to external fields (magnetic, electric and temperature), as well as with the nucleation and growth phenomena present in some solid dissolutions. As a result of the multiplicative noise effect over the dynamic, some microstructures formed by changing solid phase and composed by binary alloys of Pb-Sn, Fe-C and Cu-Ni, as well as a NiAl-Cr(Mo) eutectic composite material. The model A for active-particles with a non-potential term in form of quadratic gradient explain the formation of nanostructured particles of silver phosphate. With these models is shown that the underlying mechanisms in the patterns formation in all these systems depends of: (a) dissipative dynamics; (b) the short-range and long-range interactions and (c) the appropiate combination of quadratic and multiplicative noise terms.
ISSN:1434-6028
1434-6036
DOI:10.1140/epjb/e2016-70344-7