A hierarchy of models related to nanoflows and surface diffusion

Details A hierarchy of models related to nanoflows and surface diffusion A hierarchy of models related to nanoflows and surface diffusion

2010-10-28

arxiv.org/abs/1010.5966v1

Mathematics

Analysis of PDEs

Scientific paper

In last years a great interest was brought to molecular transport problems at nanoscales, such as surface diffusion or molecular flows in nano or sub-nano-channels. In a series of papers V. D. Borman, S. Y. Krylov, A. V. Prosyanov and J. J. M. Beenakker proposed to use kinetic theory in order to analyze the mechanisms that determine mobility of molecules in nanoscale channels. This approach proved to be remarkably useful to give new insight on these issues, such as density dependence of the diffusion coefficient. In this paper we revisit these works to derive the kinetic and diffusion models introduced by V. D. Borman, S. Y. Krylov, A. V. Prosyanov and J. J. M. Beenakker by using classical tools of kinetic theory such as scaling and systematic asymptotic analysis. Some results are extended to less restrictive hypothesis.

Affiliated with

Also associated with

No associations

Rating

A hierarchy of models related to nanoflows and surface diffusion does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A hierarchy of models related to nanoflows and surface diffusion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A hierarchy of models related to nanoflows and surface diffusion will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-583979