Abstract

BRENES-ANDRE, José. Incorporation of Landau model to the fractal model of an eruption. Rev. Geol. Amér. Central [online]. 2016, n.54, pp.125-142. ISSN 0256-7024.  http://dx.doi.org/10.15517/rgac.v54i0.21147.

The Sequential Fragmentation/Transport model (SFT) is based on a macroscopic level sequential fragmentation. In Brenes & Alvarado (2013) a fractal model of an eruption is proposed based on SFT, systematizing the process via the inclusion of Hurst Coefficient. Later on, Balankin fractal fracture model is used to include microscopic level fractal fracture processes (Brenes, 2014). In the present work, Landau model for second order transformations is included, and Griffith fracture model and Eötvös rule are deduced, giving rise to by-products mathematical expressions that suggest the existence of fracture processes such as stress corrosion, dilatancy hardening, and vitrification. Lastly, some mathematical results that suggest a glass transition in magma are presented.

Keywords : Balankin; Landau; Brown; Griffith; Sequential fragmentation/transport; SFT.

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