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A model for diffusive systems: Beyond the Arrhenius mechanism

Rosa, A.C.P. et al · Elsevier Science · 2016

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Author / responsible party
Rosa, A.C.P. et al
Publisher
Elsevier Science
Year
2016
ISSN
0378-4371
ISSN
0378-4371
Language
English

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Diffusivity in supercooled liquids was observed to exhibit a non-Arrhenius behavior near the glass-transition temperature. This process, which occurs where the activation energy depends on the temperature, suggests the possibility of a metastable equilibrium. This peculiar phenomenon cannot be explained using the usual Markovian stochastic models. Based on a non-linear Fokker-Planck equation, we propose a diffusion coefficient that is proportional to the supercooled-liquid concentration. The proposed model allows us to explain the anomalous behavior of the diffusivity robustly. We demonstrate that this new approach is consistent with experimental patterns. Besides, it could be applied to non-Arrhenius chemical kinetics. Fil: Rosa, A.C.P.. Programa de Modelagem Computacional; Brasil. Universidade Federal do Oeste da Bahia; Brasil Fil: Vaveliuk, Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Centro de Investigaciones Ópticas. Provincia de Buenos Aires. Gobernación. Comisión de Investigaciones Científicas. Centro de Investigaciones Ópticas. Universidad Nacional de La Plata. Centro de Investigaciones Ópticas; Argentina. Provincia de Buenos Aires. Gobernación. Comisión de Investigaciones Científicas; Argentina

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APA 7

Rosa, A. E. A. (2016). A model for diffusive systems: Beyond the Arrhenius mechanism. http://hdl.handle.net/11336/49215

MLA

Rosa, A.C.P. et al. "A model for diffusive systems: Beyond the Arrhenius mechanism." 2016. http://hdl.handle.net/11336/49215.

Chicago

Rosa, A.C.P. et al. 2016. "A model for diffusive systems: Beyond the Arrhenius mechanism.". http://hdl.handle.net/11336/49215.

Harvard

Rosa, A. E. A. 2016, A model for diffusive systems: Beyond the Arrhenius mechanism, Elsevier Science, available at: http://hdl.handle.net/11336/49215 [Accessed 7 Aug. 2026].

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Title
A model for diffusive systems: Beyond the Arrhenius mechanism
Author / contributors
Rosa, A.C.P. et al
Publisher
Elsevier Science
Publication year
2016
ISSN
0378-4371
ISSN
0378-4371
Language
English

Subjects

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Deformed Exponential; Nonadditivity; Nonlinear Fokker-Planck Equation; https://purl.org/becyt/ford/1.3; https://purl.org/becyt/ford/1
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