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Propagation Dynamics of a Particle Phase in a Single-File Pore.

Published online by Cambridge University Press:  21 March 2011

A.M. Lacasta ,
J.M. Sancho ,
F. Sagues  and
G. Oshanin
A.M. Lacasta
Affiliation:
Departament de Fisica Aplicada, Universitat Politècnica de Catalunya, E-08028 Barcelona, Spain
J.M. Sancho
Affiliation:
Departament d'Estructura i Constituents de la Matèria, Universitat de Barcelona, E-08028 Barcelona, Spain
F. Sagues
Affiliation:
Departament de Quimica Fisica, Universitat de Barcelona, E-08028 Barcelona, Spain
G. Oshanin
Affiliation:
Laboratoire de Physique Théorique des iquides, Université Paris 6, 75252 Paris, France
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Abstract

We study propagation dynamics of a particle phase in a single-file pore connected to a reservoir of particles (bulk liquid phase). We show that the total mass M(t) of particles entering the pore up to time t grows as (Mt) = 2m(J,ρF) √D0t, where D0 is the “bare” di usion coeffcient and the prefactor m(J,ρF) is a non-trivial function of the reservoir density ρF and the amplitude J of attractive particle-particle interactions. Behavior of the dynamic density pro les is also discussed.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 651: Symposium T – Dynamics in Small Confining Systems V , 2000 , T9.1.1
Copyright
Copyright © Materials Research Society 2001

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References

[1] Access in Nanoporous Materials, eds. Pinnavaia, T.J. and Thorpe, M.F. (Plenum, New York, 1995)Google Scholar
[2] Sahimi, M.,Flow and Transport in Porous Media and Fractured Rock, (VCH,Weinheim, Germany, 1995)Google Scholar
[3] Chen, N.Y., Degnan, J.T.F. and Smith, C.M.,Molecular Transport and Reaction in Ze-olites, (VCH, New York, 1994)Google Scholar
[4] Alberts, B., Bray, D. and Lewis, J.,Molecular Biology of the Cell, (Garland, New York, 1994)Google Scholar
[5] Meier, W.M. and Olson, D.H.,Atlas of Zeolite Structure Types, (Butterworths, London, 1987)Google Scholar
[6] Gupta, V.et al., Chem. Phys. Lett. 247, 596 (1995)Google Scholar
[7] Kukla, V.et al., Science 272, 702 (1996)Google Scholar
[8] Keffer, D., McCormick, A.V. and Davis, H.T.,Mol. Phys. 87, 367 (1996)Google Scholar
[9] Hahn, K., Kärger, J. and Kukla, V.,Phys. Rev. Lett. 76, 2762 (1996)Google Scholar
[10] Rödenbeck, C., Kärger, J. and Hahn, K.,Phys. Rev. E 55, 5697 (1997)Google Scholar
[11] Chou, T.,Phys. Rev. Lett. 80, 85 (1998)Google Scholar
[12] Chou, T.,J. Chem. Phys. 110, 606 (1999)Google Scholar
[13] Murad, S., Ravi, P. and Powles, J.G.,J. Chem. Phys. 98, 9771 (1993)Google Scholar
[14] Sholl, D.S. and Fichthorn, K.A.,J. Chem. Phys. 107, 4384 (1997)Google Scholar
[15] Xu, L.et al., Phys. Rev. Lett. 80, 3511 (1998)Google Scholar
[16] Lacasta, A.M., Sancho, J.M., Sagues, F. and Oshanin, G.,in preparationGoogle Scholar
[17] Giacomin, G. and Lebowitz, J.L.,Phys. Rev. Lett. 76, 1094 (1996)Google Scholar
[18] Burlatsky, S.F.,G.Oshanin, Cazabat, A.M. and Moreau, M.,Phys. Rev. Lett. 76, 86 (1996)Google Scholar
[19] Lebowitz, J., Orlandi, E. and Presutti, E.,J. Stat. Phys. 63, 933 (1991)Google Scholar
[20] Gennes, P.G. de, J. Chem. Phys. 72, 4756 (1980)Google Scholar
[21] Binder, K.,J. Chem. Phys. 79, 6387 (1983)Google Scholar