Atomic diffusion, step relaxation, and step fluctuations

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

Volumn 60, Issue 2, 1999, Pages 1279-1291

  Blagojevic B ^a   Duxbury, P M ^a  

^a MICHIGAN STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001253296     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.1279     Document Type: Article

References (22)

1. A recent set of minireviews is contained in Dynamics of Crystal Surfaces and Interfaces, edited by P.M. Duxbury and T.J. Pence (Plenum, New York, 1997).
2. X.S. Wang, J.L. Goldberg, N.C. Bartelt, T.L. Einstein, and E.D. Williams, Phys. Rev. Lett. 65, 2430 (1990).
3. B. Swartzentruber, Y.W. Mo, R. Kariotis, M.G. Lagally, and M.B. Webb, Phys. Rev. Lett. 65, 1913 (1990).
4. M. Poensgen, J.F. Wolf, J. Frohn, M. Giesen, and H. Ibach, Surf. Sci. 274, 430 (1992).
5. N.C. Bartelt, J.L. Goldberg, T.L. Einstein, E.D. Williams, J.C. Heyraud, and J.J. Métois, Phys. Rev. B 48, 15 453 (1993)
6. L. Kuipers, M.S. Hoogeman, and J.W.M. Frenken, Phys. Rev. Lett. 71, 3517 (1993).
7. M. Giesen-Seibert, F. Schmitz, R. Jentjens, and H. Ibach, Surf. Sci. 329, 47 (1995).
8. N.C. Bartelt, J.L. Goldberg, T.L. Einstein, and E.D. Williams, Surf. Sci. 273, 252 (1992). To compare the results, make the substitutions (Formula presented) (Formula presented) and (Formula presented).
9. A. Pimpinelli, J. Villain, D.E. Wolf, J.J. Métois, J.C. Heyraud, I. Elkinani, and G. Uimin, Surf. Sci. 295, 143 (1993).
10. N.C. Bartelt, T.L. Einstein, and E.D. Williams, Surf. Sci. 312, 411 (1994). To compare the results, make the substitutions (Formula presented) and (Formula presented).
11. B. Blagojević and P.M. Duxbury, in Dynamics of Crystal Surfaces and Interfaces 1.
12. S.V. Khare and T.L. Einstein, in Dynamics of Crystal Surfaces and Interfaces 1.
13. T. Ihle, C. Misbah, and O. Pierre-Louis, Phys. Rev. B 58, 2289 (1998). To compare the results make the substitutions (Formula presented) (Formula presented) (Formula presented), and (Formula presented). Also, in their expressions, set (Formula presented) (Formula presented), and (Formula presented), since the theory presented here does not include step interactions, and step-edge diffusion and evaporation acting together with terrace diffusion.
14. H.P. Bonzel and W.W. Mullins, Surf. Sci. 350, 285 (1996);H.P. Bonzel and S. Surnev, in Dynamics of Crystal Surfaces and Interfaces 1. Several other articles in Ref. 1 also treated this topic.
15. W. Selke and P.M. Duxbury, Phys. Rev. B 52, 17 468 (1995).
16. S.V. Khare and T.L. Einstein, Phys. Rev. B 57, 4782 (1998). To compare the results, make the substitutions (Formula presented) (Formula presented) (Formula presented) (Formula presented) and (Formula presented) Also, in their expressions, set (Formula presented), since the theory presented here does not include coupling of step-edge diffusion to terrace diffusion.
17. W.W. Mullins, in Metal Surfaces: Structure, Energetics and Kinetics, edited by R. Vanselow and R. Howe (Springer, New York, 1963).
18. P.J. Davis, Circulant Matrices (Wiley, New York, 1979).
19. P. Nozières, in Solids Far from Equilibrium, edited by C. Godrèche (Cambridge University Press, Cambridge, 1991).
20. M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions, (Dover, New York, 1972).
21. I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series, and Products (Academic Press, New York, 1965).
22. G.H. Weiss, Aspects and Applications of the Random Walk (North-Holland, Amsterdam, 1994).