A HIERARCHY OF MODELS RELATED TO NANOFLOWS AND SURFACE DIFFUSION
Language
en
Article de revue
This item was published in
Kinetic and Relared Models. 2011-03, vol. 4, n° 1, p. 53
English Abstract
In last years a great interest was brought to molecular transport problems at nanoscales, such as surface di usion or molecular ows in nano or sub-nano-channels. In a series of papers V. D. Borman, S. Y. Krylov, A. V. ...Read more >
In last years a great interest was brought to molecular transport problems at nanoscales, such as surface di usion or molecular ows 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 di usion coe cient. In this paper we revisit these works to derive the kinetic and di usion 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.Read less <
English Keywords
Kinetic theory
nanoflows
surface diffusion
Origin
Hal imported