Chiral patterns arising from electrostatic growth models

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 58, Issue 5, 1998, Pages 6015-6026

  Sandler, Ilya M ^a,b   Canright, Geoffrey S ^a,b   Gao, Hongjun ^b,c   Pang, Shijin ^c   Xue, Zengquan ^d   Zhang, Zhenyu ^a,b  

^a UNIVERSITY OF TENNESSEE   (United States)

^b OAK RIDGE NATIONAL LABORATORY   (United States)

^c INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

^d PEKING UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CARRIER CONCENTRATION; CHARGED PARTICLES; COMPUTER SIMULATION; CONTINUUM MECHANICS; ELECTRIC FIELD EFFECTS; ELECTROSTATICS; INVERSE PROBLEMS; LINEAR ALGEBRA; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; MOLECULAR STRUCTURE; MONTE CARLO METHODS;

CHARGED TREES; CHIRAL SYMMETRY BREAKING; ELECTROSTATIC GROWTH MODELS; TRAPPED ELECTROSTATIC CHARGE; TWO DIMENSIONAL INVERSION SYMMETRY;

GROWTH (MATERIALS);

EID: 0032209237     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.58.6015     Document Type: Article

References (38)

1. T. Vicsek, Fractal Growth Phenomena (World Scientific, Singapore, 1992).
2. W. Mullins and R. Sekerka, J. Appl. Phys. 34, 323 (1963).
3. J. Langer, Science 243, 1150 (1989).
4. P. Safman and G. Taylor, Proc. R. Soc. London, Ser. A 245, 312 (1958).
5. D. Bensimon, Rev. Mod. Phys. 58, 977 (1986).
6. U. Nakaya, Snow Crystals (Harvard University Press, Cambridge, MA, 1954).
7. J. Jacques, A. Collet, and S. H. Wilen, Enantiomers, Racemates, and Resolutions (John Wiley &; Sons, New York, 1981), pp. 5–7.
8. M. R. Weis and M. McConnell, Nature (London) 310, 47 (1984).
9. E. Ben Jacob, Phys. Rev. Lett. 75, 2899 (1995).
10. J. Langer, Phys. Scr. 9, 119 (1985).
11. Y. Pomeau, Europhys. Lett. 3, 1201 (1987).
12. H. Gao, Z. Xue, Q. Wu, and S. Pang, J. Mater. Res. 9, 2216 (1994).
13. H. Gao, Z. Xue, Q. Wu, and S. Pang, Solid State Commun. 97, 579 (1996).
14. H. J. Gao, G. S. Canright, S. Pang, I. M. Sandler, Z. Q. Xue, and Z. Y. Zhang, Fractals (to be published).
15. R. E. Long, R. A. Sparks, and K. N. Trueblood, Acta Crystallogr. 18, 932 (1965).
16. R. V. Jean, Mathematical Approach to Pattern and Form in Plant Growth (Wiley, New York, 1984).
17. S. Douady and Y. Couder, Phys. Rev. Lett. 68, 2098 (1992).
18. Douady Y. Couder La Recherche 24, 26 (1993).
19. T. A. Witten and L. M. Sander, Phys. Rev. Lett. 47, 1400 (1981)
20. A. Witten L. M. SanderPhys. Rev. B 27, 5686 (1983).
21. T. Vicsek, F. Family, and P. Meakin, Europhys. Lett. 12, 217 (1990).
22. R. Ball, Physica A 140, 62 (1986).
23. P. Meakin, Phys. Rev. A 35, 2234 (1987).
24. P. Meakin, R. Ball, P. Ramanlal, and L. Sander, Phys. Rev. A 35, 5233 (1987).
25. G. Canright (unpublished).
26. T. Takagi, I. Yamada, M. Kunori, and S. Kobiyama, in Proceedings of the 2nd International Conference on Ion Sources (Österreichische Studien Gesellschaft für Atomenergie, Vienna, 1972), p. 790.
27. I. Yamada, Appl. Surf. Sci. 43, 23 (1989).
28. Y. Uchikawa, T. Ohye, and K. Gotoh, Electron. Eng. (Tokyo) 101, 8 (1981).
29. Y. Kuno and Y. Uchikawa, IEEE Trans. Magn. 21, 2523 (1985).
30. Y. Kuno, IEEE Trans. Magn. 24, 295 (1988).
31. H. Murata, T. Ohye, and H. Shimoyama, Proc. SPIE 2858, 103 (1996).
32. J. Villain, A. Pimpinelli, L. H. Tang, and D. Wolf, J. Phys. I 2, 2107 (1992).
33. Z. Y. Zhang, X. Chen, and M. G. Lagally, Phys. Rev. Lett. 73, 1829 (1994).
34. M. C. Bartelt and J. W. Evans, Surf. Sci. Lett. 314, L829 (1994).
35. K. Kojima, A. Maeda, and M. Ieda, IEEE Trans. Electr. Insul. 27, 629 (1992).
36. Y. Osada, J. Appl. Phys. 64, 1476 (1988).
37. G. Mondio, J. Mater. Res. 8, 2627 (1993).
38. Q. Xie, A. Madhukar, P. Chen, and N. P. Kobayashi, Phys. Rev. Lett. 75, 2542 (1995).