Time-reversed dielectric-breakdown model for erosion phenomena

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 67, Issue 5 2, 2003, Pages

  Kim, Yup ^a,b   Yoon, S Y ^a  

^a Kyung Hee University   (South Korea)

^b Asia Pacific Center for Theoretical Physics (APCTP)   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; DIFFUSION; FOURIER TRANSFORMS; GRAPH THEORY; LINEAR EQUATIONS; MATHEMATICAL MODELS; MONTE CARLO METHODS; PROBABILITY DISTRIBUTIONS; RANDOM PROCESSES; SURFACE ROUGHNESS;

DIFFUSION-LIMITED DEPOSITION; DIFFUSION-LIMITED EROSION; TIME-REVERSED DIELECTRIC BREAKDOWN;

STATISTICAL MECHANICS;

EID: 37649031539     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (25)

1. W.J. McG. Tegart, The Electrolytic and Chemical Polishing of Metals in Research and Industry (Pergamon, London, 1959).
2. J. Krug and P. Meakin, Phys. Rev. Lett. 66, 703 (1991).
3. J. Krug, Adv. Phys. 46, 139 (1997).
4. P. Meakin and J.M. Deutch, J. Chem. Phys. 85, 2320 (1986).
5. M.E.R. Dotto and M.U. Kleinke, Phys. Rev. B 65, 245323 (2002).
6. H.-F. Meng and E.G.D. Cohen, Phys. Rev. E 51, 3417 (1995).
7. J. Marro and R. Dickman, Nonequilibrium Phase Transitions in Lattice Models (Cambridge University Press, Cambridge, 1999), Chap. 5.
8. Dynamics of Fractal Surfaces, edited by F. Family and T. Viscek (World Scientific, Singapore, 1991)
9. A.-L. Barabási and H.E. Stanley, Fractal Concepts in Surface Growth (Cambridge University Press, Cambridge, 1995).
10. M. Kardar, G. Parisi, and Y.C. Zhang, Phys. Rev. Lett. 56, 89 (1986).
11. T. Sun, H. Guo, and M. Grant, Phys. Rev. A 40, 6763 (1989).
12. Z.W. Lai and S. Das Sarma, Phys. Rev. Lett. 66, 2348 (1991).
13. J. Villain, J. Phys. I 1, 19 (1991).
14. Yup Kim, D.K. Park, and Jin Min Kim, J. Phys. A 27, L553 (1994)
15. Yup Kim and Jin Min Kim, Phys. Rev. E 55, 3977 (1997).
16. D. Wolf and J. Villain, Europhys. Lett. 13, 389 (1990).
17. S.V. Buldyrev, A.-L. Barabási, F. Caserta, S. Havlin, H.E. Stanley and T. Viscek, Phys. Rev. A 45, R8313 (1991).
18. H. Leshorn, Physica A 195, 324 (1993).
19. Yup Kim and S.H. Yook, Physica A 262, 1 (1999).
20. T.A. Witten and L.M. Sander, Phys. Rev. Lett. 47, 1400 (1981).
21. Yup Kim and S.Y. Yoon, Phys. Rev. E 66, 031105 (2002).
22. L. Niemeyer, L. Pietrinero, and H.J. Wiesmann, Phys. Rev. Lett. 52, 1033 (1984).
23. M. Eden, in Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, Vol. IV: Biology and Problems of Health, edited by J. Neyman (University of California Press, Berkeley, 1961).
24. T. Ihle and H. Müller-Krumbhaar, Phys. Rev. E 49, 2972 (1994), and references therein.
25. S.F. Edwards and D.R. Wilkinson, Proc. R. Soc. London, Ser. A 381, 17 (1982).