Spatial first-passage statistics of Al/Si(111)-(3×3) step fluctuations

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

Volumn 75, Issue 2, 2007, Pages

  Conrad, B R ^a   Cullen, W G ^a   Dougherty, D B ^a   Lyubinetsky, I ^a   Williams, E D ^a  

^a Bldg 142   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MEASUREMENT THEORY; PROBABILITY; SCANNING TUNNELING MICROSCOPY; STATISTICAL METHODS; TEMPERATURE DISTRIBUTION;

POWER LAW FUNCTIONALS; SPATIAL FIRST-PASSAGE STATISTICS; SPATIAL STEP EDGE FLUCTUATIONS; TEMPERATURE RANGE;

ALUMINUM COMPOUNDS;

EID: 33846944297     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.75.021603     Document Type: Article

References (31)

1. W. K. Burton, N. Cabrera, and F. C. Frank, Philos. Trans. R. Soc. London, Ser. A PTRMAD 0962-8428 243, 299 (1951).
2. A. A. Chernov, Usp. Fiz. Nauk UFNAAG 0042-1294 73, 277 (1961).
3. E. E. Gruber and W. W. Mullins, J. Phys. Chem. Solids JPCSAW 0022-3697 10.1016/0022-3697(67)90017-0 28, 875 (1967).
4. A. Pimpinelli and J. Villain, Physics of Crystal Growth (Cambridge University Press, Cambridge, U.K., 1998).
5. M. Giesen, Prog. Surf. Sci. PSSFBP 0079-6816 10.1016/S0079-6816(00)00021- 6 68, 1 (2001).
6. S. Redner, A Guide to First-Passage Processes (Cambridge University Press, Cambridge, U.K., 2001).
7. J. Merikoski, J. Maunuksela, M. Myllys, J. Timonen, and M. J. Alava, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.024501 90, 024501 (2003).
8. N. P. Rapapa and A. J. Bray, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.046123 73, 046123 (2006).
9. W. Y. Tam, R. Zeitak, K. Y. Szeto, and J. Stavans, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.1588 78, 1588 (1997).
10. O. Biham, J. Krug, A. Lipshtat, and T. Michely, Small SMALBC 1613-6810 10.1002/smll.200400132 1, 502 (2005).
11. A. Lipshtat and O. Biham, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.170601 93, 170601 (2004).
12. V. V. Zhirnov and R. K. Cavin, Nat. Mater. NMAACR 1476-1122 5, 11 (2006).
13. C. O. Hwang and J. A. Given, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.027701 74, 027701 (2006).
14. M. Constantin, S. Das Sarma, and C. Dasgupta, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.051603 69, 051603 (2004).
15. S. N. Majumdar and C. Dasgupta, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.011602 73, 011602 (2006).
16. S. N. Majumdar and A. J. Bray, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.3700 86, 3700 (2001).
17. S. N. Majumdar, A. J. Bray, and G. C. M. A. Ehrhardt, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.015101 64, 015101 (R) (2001).
18. I. Lyubinetsky, D. B. Dougherty, T. L. Einstein, and E. D. Williams, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.085327 66, 085327 (2002).
19. B. Blagojevic and P. M. Duxbury, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.1279 60, 1279 (1999).
20. T. Ihle, C. Misbah, and O. Pierre-Louis, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.58.2289 58, 2289 (1998).
21. C. P. Flynn, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.155405 66, 155405 (2002).
22. D. B. Dougherty, I. Lyubinetsky, T. L. Einstein, and E. D. Williams, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.235422 70, 235422 (2004).
23. D. B. Dougherty, I. Lyubinetsky, E. D. Williams, M. Constantin, C. Dasgupta, and S. Das Sarma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.136102 89, 136102 (2002).
24. N. N. Pang, Y. K. Yu, and T. Halpin-Healy, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.52.3224 52, 3224 (1995).
25. N. C. Bartelt, T. L. Einstein, and E. D. Williams, Surf. Sci. Lett. SUSCAS 0167-2584 10.1016/0039-6028(90)90722-K 240, L591 (1990).
26. I. Lyubinetsky, D. B. Dougherty, H. L. Richards, T. L. Einstein, and E. D. Williams, Surf. Sci. SUSCAS 0039-6028 10.1016/S0039-6028(01)01462-5 492, L671 (2001).
27. T. Michely, M. C. Reuter, and R. M. Tromp, Phys. Rev. B PRBMDO 0163-1829 10.1103/PHYSREVB.53.4105 53, 4105 (1996).
28. E. A. Khramtsova, A. V. Zotov, A. A. Saranin, S. V. Ryzhkov, and A. B. Liftshits, Appl. Surf. Sci. ASUSEE 0169-4332 82/83, 576 (1994).
29. A. Pimpinelli, J. Villain, D. E. Wolf, J. J. Metois, J. C. Heyraud, I. Elkinani, and G. Uimin, Surf. Sci. SUSCAS 0039-6028 295, 143 (1993).
30. D. B. Dougherty, C. Tao, O. Bondarchuk, W. G. Cullen, E. D. Williams, M. Constantin, C. Dasgupta, and S. Das Sarma, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.021602 71, 021602 (2005).
31. O. Bondarchuk, D. B. Dougherty, M. Degawa, E. D. Williams, M. Constantin, C. Dasgupta, and S. Das Sarma, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.045426 71, 045426 (2005).