Transport Effects in Diffusion Theory

Mass partitioning effects in diffusion transport.

Frequent mass exchange takes place in a heterogeneous environment among several phases, where mass partitioning may occur at the interface of phases. Analytical and computational methods for diffusion do not usually incorporate molecule partitioning masking the true picture of mass transport. Here we present a computational finite element methodology to calculate diffusion mass transport with a...

The diffusion approximation in neutron transport theory – asymptotic expansions

Transport System Effects On Cross Diffusion

Cross diffusion is a phenomena in which a gradient in the concentration of one species induces a flux of another chemical species which was generally been neglected in the study of reaction-diffusion systems. We study the Turing bifurcation of two species reaction transport systems, where particle dispersal is governed by diffusion and cross diffusion. we performed linear stability analysis to ...

Network Effects and Diffusion Theory: Network Analysis in Economics

In this paper, some of the main results of an interdisciplinary research project on standards are presented and integrated into a single framework of technology diffusion. Based on network effect theory and diffusion theory, we present an agent-based simulation model that extends the traditional economical network perspective by incorporating structural determinants of networks (centrality, top...

Spatial curvature effects on molecular transport by diffusion.

For a substance diffusing on a curved surface, we obtain an explicit relation valid for very small values of the time, between the local concentration, the diffusion coefficient, the intrinsic spatial curvature, and the time. We recover the known solution of Fick's law of diffusion in the flat space limit. In the biological context, this result would be useful in understanding the variations in...