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Confinement Between Rough Substrates: Fluctuation-Induced Forces, and Other Manifestations

Published online by Cambridge University Press:  15 February 2011

Mehran Kardar  and
Hao Li
Mehran Kardar
Affiliation:
Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139
Hao Li
Affiliation:
The James Frank Institute, University of Chicago, Chicago, IL 60637
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Abstract

Most surfaces are rough. In many cases the roughness is self-affine, with a width w that scales with the observation length L as w ∼ LC. We consider the medium confined between two such plates, and discuss how the dependence of various quantities on the separation of plates is modified by their roughness. Specific examples include fluctuation–induced forces, shifts in critical temperatures, and capacitance.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 290: Symposium N – Dynamics in Small Confining Systems , 1992 , 153
Copyright
Copyright © Materials Research Society 1993

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References

[1] Mitchell, M.W., and Bonnell, D.A., J Mater. Res. 5, 2244 (1990).Google Scholar
[2] Krim, J., Solina, D.H. and Chiarello, R., Phys. Rev. Lett. 66, 181 (1991).Google Scholar
[3] Eklund, E., Bruinsma, R., Rudnick, J., Phys. Rev. Lett. 67, 1759 (1991).Google Scholar
[4] Mandelbrot, B., “The Fractal Geometry of Nature” (Freeman, San Francisco, 1981).Google Scholar
[5] Vicsek, T., “Fractal Growth Phenomena” (World Scientific, Singapore, 1989).Google Scholar
[6] Kardar, M., in Disorder and Fracture, edited by Charmet, J.C., Roux, S., and Guyon, E., Plenum, New York (1990); T. Hwa and M. Kardar, Phys. Rev. A 45, 7002 (1992).Google Scholar
[7] See, e.g. Dynamics of Fractal Surfaces, edited by Family, F. and Vicsek, T., World Scientific, Singapore (1991).Google Scholar
[8] Casimir, H.B.G., Proc. K. Ned. Akad. Wet. 51, 793 (1948).Google Scholar
[9] Mikheev, L.V., Soy. Phys. JETP 69, 358 (1989).Google Scholar
[10] Ajdari, A., Peliti, L., and Prost, J., Phys. Rev. Lett. 66, 1481 (1991).Google Scholar
[11] Cardy, J.L., Phys. Rev. Lett. 65, 1443 (1990); and references therein.Google Scholar
[12] Nightingale, M.P. and Indekeu, J.O., Phys. Rev. Lett. 54, 1824 (1985).Google Scholar
[13] Peliti, L. and Prost, J., J. Phys. 50, 1557 (1989).Google Scholar
[14] Kleban, P., Phys. Rev. Lett. 67, 2799 (1991).Google Scholar
[15] Fisher, M.E. and Gennes, P.-G. de, C. R. Acad. Sci. Ser. B 287, 207 (1978).Google Scholar
[16] Privman, V. and Fisher, M.E., Phys. Rev. B 30, 322 (1984).Google Scholar
[17] Blöte, H.W.J., Cardy, J.L., and Nightingale, M.P., Phys. Rev. Lett. 56, 742 (1986).Google Scholar
[18] Balian, R. and Duplantier, B., Ann. Phys. (N.Y.) 112, 165 (1978).Google Scholar
[19] Li, H. and Kardar, M., Phys. Rev. Lett. 67, 3275 (1991); H. Li and M. Kardar, Phys. Rev. A, in press (1992).Google Scholar
[20] Gennes, P.-G. de, The physics of Liquid Crystals (Oxford Univ. Press, Oxford, 1974).Google Scholar
[21] Lyra, M.L., Kardar, M., and Svaiter, N.F., MIT preprint (1992).Google Scholar
[22] For a review, see, Israelachvili, J.N. and McGuiggan, P.M., Science, 241, 795 (1988).Google Scholar
[23] For a review, see Barber, M., in “Phase Transitions and Critical Phenomena” Vol. 8, Domb, C. and Lebowitz, J. L. eds. (Academic, London, 1983).Google Scholar
[24] Willis, R.F., (private communication).Google Scholar
[25] Kardar, M. and Indekeu, J.O., Europhys. Lett. 12, 161 (1990).Google Scholar
[26] Li, H. and Kardar, M., Phys. Rev. B 42, 6546 (1990).Google Scholar