Dynamics of Negative Diffusivity and Uphill Diffusion in Ternary and Single systems

Abstract

Negative diffusivity and uphill diffusion, that contrast with Fick’s laws, however which can occur in multicomponent and single systems. In this paper, authors present studied results about the dynamics of the uphill diffusion in ternary and single system. Results have shown that: i) in ternary systems, the dynamics of negative diffusivity is high concentration effect and the combina-tion of coupled diffusion effect with high concentration effect is the dynamics of uphill diffusion; ii) in single systems, the difference of temperatures in two areas that is the dynamics of negative diffusivity and uphill diffusion. Keywords: Dynamics of uphill diffusion; dynamics of negative diffusivity.

The many facets of the Estrada indices of graphs and networks

“…where μ j are the corresponding eigenvalues of L. Therefore, what the authors of [92] have proposed can be though as an index related to the solution of the backward diffusion equation, i.e., negative time, or as a diffusion equation with negative diffusivity D < 0 [65]. There are physical situations in which such negative diffusivity appears [48,140,173,225,226]. For instance, in the simultaneous diffusion of boron and point defect in silicon, the diffusivities of interstitial could be negative [225].…”

“…There are physical situations in which such negative diffusivity appears [48,140,173,225,226]. For instance, in the simultaneous diffusion of boron and point defect in silicon, the diffusivities of interstitial could be negative [225]. That is, the diffusion process of interstitial or vacancy could be a backward diffusion in silicon.…”