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Kinetic Path to Fluid Dynamics in Membranes

Published online by Cambridge University Press:  11 February 2011

A. ten Bosch*
Affiliation:
Laboratoire de Physique de la Matière Condensée, CNRS 6622, Parc Valrose, F-060108 Nice Cedex 2, France
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Abstract

Atomic scale dynamic theories and numerical simulation can explore atomistic processes but the relevant physics must fold atomistic understanding into a mesoscopic formulation in terms of average system properties. Transport equations for the density(or concentration), the flux and the pressure tensor are derived from a microscopic basis which mimics simulation by molecular dynamics. The validity of classical hydrodynamics is explored. The method includes interparticle interactions and small scale variations in time and space of relevance to modeling of membrane processes.

Type
Research Article
Copyright
Copyright © Materials Research Society 2003

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References

REFERENCES

1. Whitesides, G., Strook, A., Physics Today June 2001, p.42 Google Scholar
2. Burganos, V., ed., MRS Bulletin, 24/3, March 1999, p1950 Google Scholar
3. Burganos, V., J. Chem. Phys. 109, 6772(1998)Google Scholar
4. Xu, F., Tsotsis, T., Sahimi, M., J. Chem. Phys. 111, 3252(1999)Google Scholar
5. Thompson, A., Heffelfing, G., J. Chem. Phys. 110, 10693 (1999)Google Scholar
6. Travis, K.P., Gubbins, K.E., J. Chem. Phys. 112, 1984(2000)Google Scholar
7. Rice, S.A., Gray, P., The Statistical Thermodynamics of Simple Liquids, (Interscience, New York, 1965)Google Scholar
8. ten Bosch, A., Physica A 262, 396(1999), Phys. Rev. E (2003)Google Scholar
9. Edwards, S.F., in Molecular Fluids edited by Balian, R., Weil, G. (Gordon and Breach, Paris, 1976)Google Scholar
10. ten Bosch, A., J. Chem. Phys. 114, 4982(2001); Sep. Pur. Tech. 25, 431(2001)Google Scholar
11. Doi, M., Edwards, S.F., The Theory of Polymer Dynamics (Oxford Science, 1986)Google Scholar
12. Chandrasekhar, S., Rev. Mod. Phys. 15, 1 (1943)Google Scholar