Interfaces with a single growth inhomogeneity and anchored boundaries

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

Volumn 68, Issue 4 1, 2003, Pages 416031-416039

  Grynberg, M D ^a  

^a UNIVERSIDAD NACIONAL DE LA PLATA   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; COMPUTER SIMULATION; ELEMENTARY PARTICLES; HAMILTONIANS; KINETIC ENERGY; MORPHOLOGY; PHASE TRANSITIONS; PROBABILITY; SUBSTRATES;

SPINORS; STOCHASTIC DYNAMICS;

INTERFACES (MATERIALS);

EID: 12144274397     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (30)

1. For comprehensive reviews and literature list, consult J. Krug, Adv. Phys. 46, 139 (1997); T. Halpin-Healy and Y.-C. Zhang, Phys. Rep. 254, 215 (1995); P. Meakin, ibid. 235, 189 (1993); J. Krug and H. Spohn, in Solids far from Equilibrium: Growth, Morphology and Defects, edited by C. Godréche (Cambridge University Press, Cambridge, 1992).
2. For comprehensive reviews and literature list, consult J. Krug, Adv. Phys. 46, 139 (1997); T. Halpin-Healy and Y.-C. Zhang, Phys. Rep. 254, 215 (1995); P. Meakin, ibid. 235, 189 (1993); J. Krug and H. Spohn, in Solids far from Equilibrium: Growth, Morphology and Defects, edited by C. Godréche (Cambridge University Press, Cambridge, 1992).
3. For comprehensive reviews and literature list, consult J. Krug, Adv. Phys. 46, 139 (1997); T. Halpin-Healy and Y.-C. Zhang, Phys. Rep. 254, 215 (1995); P. Meakin, ibid. 235, 189 (1993); J. Krug and H. Spohn, in Solids far from Equilibrium: Growth, Morphology and Defects, edited by C. Godréche (Cambridge University Press, Cambridge, 1992).
4. For comprehensive reviews and literature list, consult J. Krug, Adv. Phys. 46, 139 (1997); T. Halpin-Healy and Y.-C. Zhang, Phys. Rep. 254, 215 (1995); P. Meakin, ibid. 235, 189 (1993); J. Krug and H. Spohn, in Solids far from Equilibrium: Growth, Morphology and Defects, edited by C. Godréche (Cambridge University Press, Cambridge, 1992).
5. However, the universality issue has been steadily brought into question, particularly in higher dimensions. For instance, see T.J. Newman and M.R. Swift, Phys. Rev. Lett. 79, 2261 (1997).
6. M.C. Bartelt and J.W. Evans, J. Phys. A 26, 2743 (1993); B.D. Lubachevsky, V. Privman, and S.C. Roy, Phys. Rev. E 47, 48 (1993); H.C. Kang and J.W. Evans, Surf. Sci. 271, 321 (1992).
7. M.C. Bartelt and J.W. Evans, J. Phys. A 26, 2743 (1993); B.D. Lubachevsky, V. Privman, and S.C. Roy, Phys. Rev. E 47, 48 (1993); H.C. Kang and J.W. Evans, Surf. Sci. 271, 321 (1992).
8. M.C. Bartelt and J.W. Evans, J. Phys. A 26, 2743 (1993); B.D. Lubachevsky, V. Privman, and S.C. Roy, Phys. Rev. E 47, 48 (1993); H.C. Kang and J.W. Evans, Surf. Sci. 271, 321 (1992).
9. D.E. Wolf and L.-H. Tang, Phys. Rev. Lett. 65, 1591 (1990).
10. J. Krug, J.E. S Socolar, and G. Grinstein, Phys. Rev. A 46, R4479 (1992) ; J. Krug and J.E.S. Socolar, Phys. Rev. Lett. 68, 722 (1992); J. Krug and L.-H. Tang, Phys. Rev. E 50, 104 (1994).
11. J. Krug, J.E. S Socolar, and G. Grinstein, Phys. Rev. A 46, R4479 (1992) ; J. Krug and J.E.S. Socolar, Phys. Rev. Lett. 68, 722 (1992); J. Krug and L.-H. Tang, Phys. Rev. E 50, 104 (1994).
12. P. Meakin, P. Ramanlal, L.M. Sander, and R.C. Ball, Phys. Rev. A 34, 5091 (1986).
13. P. Meakin, P. Ramanlal, L.M. Sander, and R.C. Ball, Phys. Rev. A 34, 5091 (1986).
14. M. Plischke, Z. Rácz, and D. Liu, Phys. Rev. B 35, 3485 (1987).
15. G. Forgacs, R. Lipowsky, and Th. M. Nieuwenhuizen, in Phase Transitions and Critical Phenomena, edited by C. Domb and J.L. Lebowitz (Academic, London, 1991), Vol. 14.
16. L.-H. Tang and I.F. Lyuksyutov, Phys. Rev. Lett. 71, 2745 (1993).
17. M. Kardar, G. Parisi, and Y.-C. Zhang, Phys. Rev. Lett. 56, 889 (1986).
18. F. Family and T. Vicsek, J. Phys. A 18, L75 (1985). However, for an account on anomalous scaling, see J.M. López, Phys. Rev. Lett. 83, 4594 (1999).
19. F. Family and T. Vicsek, J. Phys. A 18, L75 (1985). However, for an account on anomalous scaling, see J.M. López, Phys. Rev. Lett. 83, 4594 (1999).
20. N.G. van Kampen, Stochastic Processes in Physics and Chemistry, 2nd ed. (North-Holland, Amsterdam, 1992).
21. This strategy in related systems can be traced back over more than two decades. For a review see D.C. Mattis and M.L. Glasser, Rev. Mod. Phys. 70, 979 (1998).
22. G.M. Schütz, in Phase Transitions and Critical Phenomena, edited by C. Domb and J.L. Lebowitz (Academic, London, 2000); M.D. Grynberg and R.B. Stinchcombe, Phys. Rev. E 61, 324 (2000).
23. G.M. Schütz, in Phase Transitions and Critical Phenomena, edited by C. Domb and J.L. Lebowitz (Academic, London, 2000); M.D. Grynberg and R.B. Stinchcombe, Phys. Rev. E 61, 324 (2000).
24. H.S. Wilf, Generatingfunctionology (Academic, New York, 1994).
25. For an account of this time honored technique see, for example, G.H. Golub and C.F. van Loan, Matrix Computations, 3rd ed. (Johns Hopkins University Press, Baltimore, 1996).
26. S. Alexander and T. Holstein, Phys. Rev. B 18, 301 (1978); A.R. Edmonds, Angular Momentum in Quantum Mechanics, 2nd ed. (Princeton University Press, Princeton, NJ, 1960).
27. S. Alexander and T. Holstein, Phys. Rev. B 18, 301 (1978); A.R. Edmonds, Angular Momentum in Quantum Mechanics, 2nd ed. (Princeton University Press, Princeton, NJ, 1960).
28. In the continuum description of growth equations, β= 1/2 has been conjectured as the upper random deposition limit of stochastic roughening. See Ref. [1].
29. For a review, consult B. Derrida and M. Evans in Nonequilibrium Statistical Mechanics in One Dimension, edited by V. Privman (Cambridge University Press, Cambridge, 1996); see also R.B. Stinchcombe and G.M. Schütz, Phys. Rev. Lett. 75, 140 (1995).
30. For a review, consult B. Derrida and M. Evans in Nonequilibrium Statistical Mechanics in One Dimension, edited by V. Privman (Cambridge University Press, Cambridge, 1996); see also R.B. Stinchcombe and G.M. Schütz, Phys. Rev. Lett. 75, 140 (1995).