Regensburg 2019 – wissenschaftliches Programm
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MM: Fachverband Metall- und Materialphysik
MM 25: Transport (Diffusion, conductivity, heat)
MM 25.8: Vortrag
Mittwoch, 3. April 2019, 12:15–12:30, H46
On Stochastic Resonance in Double Diffusion Models — •Amit Chattopadhyay1 and Elias Aifantis2 — 1Systems Analytics Research Institute, Mathematics, Aston University, Birmingham, UK — 2Laboratory of Mechanics and Materials, Aristotle University of Thessaloniki, GR-54124 Thessaloniki, Greece
Double diffusion as a model of transport involving two interacting species is essentially a continuum model with two local non-equilibrium concentration fields obeying separate mass and momentum balance equations, with a linear relation for the mass exchange term between them. Here we present results from two separate stochastic double-diffusion models involving two fluctuating phase densities, which represent the same system for two different symmetry cases. We show that presence of surface inhomogeneities and temporal delay have substantial impact at the interface of evolution for both models. The effect is most pronounced at a critical point, identified as the "stochastic resonance" [1,2] point where maximum energy transfer occurs that create complementary profiles for the spatial and temporal correlation functions. The symmetry difference between the two models lead to spatiotemporal patterns that are unique to each individual case. Model results verify a multitude of interface based experiments concerning nanomaterial dynamics.
References: [1] AKC & ECA; Physical Review E, vol 95, 052134 (2017). [2] AKC, et al;, Materials Science and Technology, vol 34:13, 1606 (2018).