Chaos and anomalous diffusion of adatoms on solid surfaces

Physical Review B - Condensed Matter and Materials Physics

Volumn 64, Issue 24, 2001, Pages

  Guantes, R ^a   Vega, J L ^a   Miret Artes S ^a  

^a INSTITUTO DE MATEMÁTICAS Y FÍSICA FUNDAMENTAL   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

COPPER; SODIUM;

ARTICLE; CHAOTIC DYNAMICS; DIFFUSION; MOLECULAR DYNAMICS; MOLECULAR MODEL; STATISTICAL MODEL; VIBRATION;

EID: 0035894446     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.64.245415     Document Type: Article

References (46)

1. J W M. Frenken and B J. Hinch, in Helium Atom Scattering from Surfaces, edited by E. Hulpke, Springer Series in Surface Sciences Vol. 27 (Springer-Verlag, New York, 1992), p. 287.
2. L. van Hove, Phys. Rev.95, 249 (1954).
3. J P. Hansen and I R. McDonald, Theory of Simple Liquids (Academic Press, London, 1986).
4. J P. Ellis and J P. Toennies, Phys. Rev. Lett.70, 2118 (1993);
5. Phys. Rev. Lett.L Y. Chen and S C. Ying, 71, 4361 (1993).
6. A P. Graham, F. Hofmann, J P. Toennies, L Y. Chen, and S C. Ying, Phys. Rev. Lett.78, 3900 (1997);
7. A P. GrahamF. HofmannJ P. ToenniesL Y. ChenS C. YingPhys. Rev. B56, 10 567 (1997).
8. L Y. Chen and S C. Ying, Phys. Rev. B49, 13 838 (1994).
9. A J. Lichtenberg and M A. Lieberman, Regular and Chaotic Dynamics (Springer-Verlag, New York, 1992).
10. P. Gaspard, Chaos, Scattering and Statistical Mechanics, Nonlinear Science Series IX (Cambridge University Press, Cambridge, 1998).
11. T. Geisel, in Lévy Flights and Related Topics in Physics, edited by M. F. Schlesinger, G. M. Zaslavsky, and U. Frisch (Springer- Verlag, Berlin, 1995).
12. M F. Schlesinger, G M. Zaslavsky, and J. Klafter, Nature (London)363, 31 (1993).
13. W. Paul and J. Baschnagel, Stochastic Processes (Springer-Verlag, Berlin, 1999).
14. T. Geisel, A. Zacherl, and G. Radons, Phys. Rev. Lett.59, 2503 (1987);
15. T. GeiselA. ZacherlG. RadonsZ. Phys. B71, 117 (1988).
16. T. Geisel, J. Wagenhuber, P. Niebauer, and G. Obermair, Phys. Rev. Lett.64, 1581 (1990);
17. T. GeiselJ. WagenhuberP. NiebauerG. ObermairPhys. Rev. B45, 4372 (1992).
18. J. Klafter and G. Zumofen, Phys. Rev. E49, 4873 (1994).
19. H. Risken, The Fokker-Planck Equation (Springer-Verlag, Berlin, 1984).
20. R. Ferrando, R. Spadacini, and G E. Tommei, Phys. Rev. E48, 2437 (1993).
21. C T. Chudley and R J. Elliott, Proc. Phys. Soc. London77, 353 (1961).
22. S.-A. Lindgren, C. Svensson, and L. Wallden, Phys. Rev. B42, 1467 (1990).
23. L Y. Chen, M R. Baldan, and S C. Ying, Phys. Rev. B54, 8856 (1996).
24. R. Guantes, F. Borondo, and S. Miret-Artés, Phys. Rev. E56, 378 (1997).
25. A. Weinstein, Invent. Math.20, 47 (1973).
26. R. Seydel, Practical Bifurcation and Stability Analysis (Springer-Verlag, New York, 1994).
27. J.-M. Mao and J B. Delos, Phys. Rev. A45, 1746 (1992).
28. K R. Meyer, Trans. Am. Math. Soc.149, 95 (1970);
29. M A M. de Aguiar, C P. Malta, M. Baranger, and K T R. Davies, Ann. Phys. (N.Y.)180, 167 (1987).
30. E B. Wilson, Jr., J C. Decius, and P C. Cross, Molecular Vibrations (Dover, New York, 1980), Chap. 2.
31. I C. Percival, Adv. Chem. Phys.36, 1 (1977).
32. A. Graham, F. Hofmann, and J P. Toennies, J. Chem. Phys.104, 5311 (1996).
33. D L. Adler, I R. Collins, X. Liang, S J. Murray, G S. Leatherman, K.-D. Tsuei, E E. Chaban, S. Chandavarkar, R. McGrath, R D. Diehl, and P H. Citrin, Phys. Rev. B48, 17 445 (1993).
34. T. Geisel, J. Niertwetberg, and A. Zacherl, Phys. Rev. Lett.54, 616 (1985);
35. Phys. Rev. Lett.M F. Shlesinger and J. Klafter, 54, 2551 (1985).
36. G. Zumofen and J. Klafter, Phys. Rev. E47, 851 (1993);
37. J. Klafter, M F. Shlesinger, and G. Zumofen, Phys. Today49, 33 (1996).
38. D S. Sholl and R T. Skodje, Physica D71, 168 (1994).
39. S J. Lombardo and A T. Bell, Surf. Sci. Rep.13, 1 (1991).
40. S. Chandrasekhar, Rev. Mod. Phys.15, 1 (1943).
41. P. Reimann, Chem. Phys.268, 337 (2001).
42. M P. Allen and D J. Tildesley, Computer Simulations of Liquids (Clarendon Press, Oxford, 1987).
43. E. Hershkovitz, J. Chem. Phys.108, 9253 (1998);
44. see also R L. Honeycutt, Phys. Rev. A45, 600 (1992).
45. J. Ellis, A P. Graham, and J P. Toennies, Phys. Rev. Lett.82, 5072 (1999).
46. S I. Denisov and W. Horsthemke, Phys. Rev. E62, 7729 (2000), and references therein.