Simulation of diffusion in 2-D heterogeneous systems: Comparison with effective medium and percolation theories

Physica A: Statistical Mechanics and its Applications

Volumn 227, Issue 3-4, 1996, Pages 239-247

  Schlicht, Lutz ^a   Ilgenfritz, Georg ^a  

^a UNIVERSITY OF COLOGNE   (Germany)

Author keywords

Diffusion; Effective medium; Lipid monolayer; Percolation

Indexed keywords

EID: 30244517048     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/0378-4371(95)00407-6     Document Type: Article

References (28)

1. K. Tamada, S. Kim and H. Yu, Langmuir 9 (1993) 1545.
2. M. Saxton, Biophys. J. 39 (1982) 165.
3. S. Kim and H. Yu, J. Phys. Chem. 96 (1992) 4034.
4. A. Mingotaud, C. Mingotaud and L. Patterson, Thin Solid Films 210/211 (1992) 766.
5. M. Vandevyver, Thin Solid Films 210/211 (1992) 240.
6. H. Keller and D. Sachs, J. Appl. Phys. 35 (1964) 537.
7. M. Clarkson, Phys. Rev. A 37 (1988) 2079.
8. C. Cametti, P. Codastefano, P. Tartaglia, S.-H. Chen and J. Rouch, Phys. Rev. A 45 (1992) 5358.
9. L. Schlicht, J.H. Spilgies, F. Runge, S. Lipgens, D. Schübel and G. Ilgenfritz, Biophys. Chem., in press.
10. S. Stölzle, A. Enders, G. Nimtz, J. Physique I 2 (1992) 401, 1765.
11. R. Peters, K. Beck, Proc. Natl. Acad. Sci. 80 (1983) 7187.
12. J. Yguerabide, M. Forster, in: Membrane Spectroscopy, ed. E. Grell (Springer, Berlin, 1981) p. 228.
13. L. Smith, R. Weiß and A. Mc Connel, Biophys. J. 36 (1981) 3673.
14. S.I. Chan, D. Bocian and N. Peterson, in: Membrane Spectroscopy, ed. E. Grell (Springer, Berlin, 1981) p. 2.
15. D. Bruggeman, Ann. Phys. 24 (1935) 636.
16. R. Landauer, J. Appl. Phys. 23 (1952) 779.
17. R. Landauer, in: Electrical Transport and Optical properties of inhomogeneous Media, eds. J. Garland and D. Tanner (American Institute of Physics, New York, 1978) p. 2.
18. S. Kirkpatrick, Phys. Rev. Lett. 27 (1971) 1722.
19. A. Haji-Sheikh and E. Sparrow, SIAM J. Appl. Math. 14 (1966) 370.
20. P.G. de Gennes, La Percolation: Un concept unificateur, La Recherche 7 (1976) 919.
21. D. Stauffer and A. Aharony, Introduction to Percolation theory (Taylor and Francis, Bristol, 1994) p. 17, 52.
22. G. Ilgenfritz and F. Runge, Physica A 181 (1992) 69.
23. D. Stauffer, F. Hehl, V. Winkelmann and J. Zabolitzky, Computer Simulation and Computer Algebra (Springer, Berlin, 1988) p. 59.
24. L. Schlicht, Dissertation, Universität zu Köln (1996).
25. F. Runge, Dissertation, Universität zu Köln (1992).
26. H. Looyenga, Physica 31 (1965) 401.
27. A. Ulman, Ultrathin Organic Films (Academic Press, New York, 1991).
28. R. Pandey, Physica A, in press.