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The percolation threshold in systems of permeable ellipses

Published online by Cambridge University Press:  13 February 2008

M. Ambrožič
M. Ambrožič*
Affiliation:
Jožef Stefan Institute, Jamova 39, 1000 Ljubljana, Slovenia
*
milan.ambrozic@ijs.si
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Abstract

The two-dimensional percolation problem with elliptical objects was studied theoretically using Monte Carlo simulation. The percolation-threshold number of ellipses was compared for the lattice model and the random-position (continuum) model, and a semi-lattice model was also introduced as a bridge between the two limiting models. The results showed a gradual transition from the lattice model to the random-position model when the positional disorder of the particles was increased. A similar transition was observed when the lattice was refined and the site-occupation probability was simultaneously decreased.

Keywords

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 41 , Issue 2 , February 2008 , pp. 121 - 127
Copyright
© EDP Sciences, 2008

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References

D. Stauffer, A. Aharony, Introduction to Percolation Theory (Taylor & Francis, London 1994)
Grannan, D.M., Garland, J.C., Tanner, D.B., Phys. Rev. Lett. 46, 375 (1981) CrossRef
Lux, F., J. Mater. Sci. 28, 285 (1993) CrossRef
J.S. Reed, Principles of Ceramics Processing, (A Wiley-Interscience Publication, John Wiley & Sons, Inc., New York, 1995)
A. Guth, The Inflatory Universe: The Quest for a New Theory of Cosmic Origins (Vintage, London 1998)
S. Ostojic, E. Somfai, B. Nienhuis, Nature 439/16, 828 (2006)
Quintanilla, J., Torquato, S., Ziff, R.M., J. Phys. A 33, L339 (2000) CrossRef
Lorenz, C.D., Ziff, R.M., J. Chem. Phys. 114, 3659 (2001) CrossRef
Pike, G.E., Seager, C.H., Phys. Rev. B 10, 1421 (1974) CrossRef
Robinson, P.C., J. Phys. A 17, 2823 (1984) CrossRef
Boudville, W.J., McGill, T.C., Phys. Rev. B 39, 369 (1989) CrossRef
Balberg, I., Binenbaum, N., Phys. Rev. B 28, 3799 (1983) CrossRef
Balberg, I., Binenbaum, N., Wagner, N., Phys. Rev. Lett. 52, 1465 (1984) CrossRef
Balberg, I., Anderson, C.H., Alexander, S., Wagner, N., Phys. Rev. B 30, 3933 (1984) CrossRef
De Bondt, S., Froyen, L., Deruyttere, A., J. Mater. Sci. 27, 1983 (1992) CrossRef
Neda, Z., Florian, R., Phys. Rev. E 59, 3717 (1999) CrossRef
Huseby, O., Thovert, J.F., Adler, P.M., J. Phys. A 30, 1415 (1997) CrossRef
De Simone, T., Stratt, R.M., Demoulini, S., Phys. Rev. Lett. 56, 1140 (1986) CrossRef
Balberg, I., Philos. Mag. B 56, 991 (1987) CrossRef
Sevick, E.M., Monson, P.A., Ottino, J.M., Phys. Rev. A 38, 5376 (1988) CrossRef
Laria, D., Vericat, F., Phys. Rev. B 40, 353 (1989) CrossRef
Alon, U., Drory, A., Balberg, I., Phys. Rev. A 42, 4634 (1990) CrossRef
Drory, A., Balberg, I., Alon, U., Berkowitz, B., Phys. Rev. A 43, 6604 (1991) CrossRef
Alon, U., Balberg, I., Drory, A., Phys. Rev. Lett. 66, 2879 (1991) CrossRef
Drory, A., Balberg, I., Berkowitz, B., Phys. Rev. E 49, R949 (1994) CrossRef
Drory, A., Balberg, I., Berkowitz, B., Phys. Rev. E 52, 4482 (1995) CrossRef
Ambrožič, M., Dakskobler, A., Valant, M., Eur. Phys. J. Appl. Phys. 30, 23 (2005) CrossRef
Valant, M., Dakskobler, A., Ambrožič, M., Kosmač, T., J. Eur. Ceram. Soc. 26, 891 (2006) CrossRef