Directed d -mer diffusion describing the Kardar-Parisi-Zhang-type surface growth

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

Volumn 81, Issue 3, 2010, Pages

  Ódor, Géza ^a   Liedke, Bartosz ^b   Heinig, Karl Heinz ^b  

^a RESEARCH INSTITUTE FOR TECHNICAL PHYSICS AND MATERIALS SCIENCE   (Hungary)

^b INSTITUTE OF ION BEAM PHYSICS AND MATERIALS RESEARCH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CODED ALGORITHMS; CONTINUOUS SURFACE; ERROR MARGINS; GROWTH EXPONENT; KARDAR-PARISI-ZHANG UNIVERSALITY CLASS; KAWASAKI DYNAMICS; LATTICE GAS; NUMERICAL RESULTS; SCALING EXPONENT; SURFACE GROWTH; SYSTEM SIZE; THEORETICAL PREDICTION;

NUMERICAL ANALYSIS;

FORECASTING;

EID: 77949369432     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.031112     Document Type: Article

References (43)

1. M. Kardar, G. Parisi, and Y. C. Zhang, Phys. Rev. Lett. 56, 889 (1986). 10.1103/PhysRevLett.56.889
2. J. M. Burgers, The Nonlinear Diffusion Equation (Riedel, Boston, 1974).
3. D. Forster, D. R. Nelson, and M. J. Stephen, Phys. Rev. A 16, 732 (1977). 10.1103/PhysRevA.16.732
4. A. L. Barabási and H. E. Stanley, Fractal Concepts in Surface Growth (Cambridge University Press, Cambridge, 1995).
5. T. Halpin-Healy and Y.-C. Zhang, Phys. Rep. 254, 215 (1995). 10.1016/0370-1573(94)00087-J
6. J. Krug, Adv. Phys. 46, 139 (1997). 10.1080/00018739700101498
7. M. Kardar, Phys. Rev. Lett. 55, 2923 (1985). 10.1103/PhysRevLett.55.2923
8. H. K. Janssen and B. Schmittmann, Z. Phys. B 63, 517 (1986). 10.1007/BF01726201
9. H. van Beijeren, R. Kutner, and H. Spohn, Phys. Rev. Lett. 54, 2026 (1985). 10.1103/PhysRevLett.54.2026
10. T. Hwa, Phys. Rev. Lett. 69, 1552 (1992). 10.1103/PhysRevLett.69.1552
11. M. Kardar, Nucl. Phys. B 290, 582 (1987). 10.1016/0550-3213(87)90203-3
12. S. F. Edwards and D. R. Wilkinson, Proc. R. Soc. London, Ser. A 381, 17 (1982). 10.1098/rspa.1982.0056
13. C. A. Doty and J. M. Kosterlitz, Phys. Rev. Lett. 69, 1979 (1992). 10.1103/PhysRevLett.69.1979
14. E. Frey and U. C. Täuber, Phys. Rev. E 50, 1024 (1994). 10.1103/PhysRevE.50.1024
15. M. Lässig, Nucl. Phys. B 448, 559 (1995). 10.1016/0550-3213(95) 00268-W
16. T. Halpin-Healy, Phys. Rev. A 42, 711 (1990). 10.1103/PhysRevA.42.711
17. M. Lässig, Phys. Rev. Lett. 80, 2366 (1998). 10.1103/PhysRevLett.80. 2366
18. S. Stepanow, Phys. Rev. E 55, R4853 (1997). 10.1103/PhysRevE.55.R4853
19. J. K. Bhattacharjee, J. Phys. A 31, L93 (1998). 10.1088/0305-4470/31/5/ 001
20. H. C. Fogedby, Phys. Rev. Lett. 94, 195702 (2005). 10.1103/PhysRevLett. 94.195702
21. M. Lässig and H. Kinzelbach, Phys. Rev. Lett. 78, 903 (1997). 10.1103/PhysRevLett.78.903
22. M. A. Moore, T. Blum, J. P. Doherty, M. Marsili, J.-P. Bouchaud, and P. Claudin, Phys. Rev. Lett. 74, 4257 (1995). 10.1103/PhysRevLett.74.4257
23. L. Canet, H. Chate, B. Delamotte, and N. Wschebor, e-print arXiv:0905.1025.
24. T. Ala-Nissila, Phys. Rev. Lett. 80, 887 (1998). 10.1103/PhysRevLett.80. 887
25. T. Ala-Nissila, T. Hjelt, J. M. Kosterlitz, and O. Venäläinen, J. Stat. Phys. 72, 207 (1993). 10.1007/BF01048047
26. E. Marinari, A. Pagnani, and G. Parisi, J. Phys. A 33, 8181 (2000). 10.1088/0305-4470/33/46/303
27. E. Marinari, A. Pagnani, G. Parisi, and Z. Rácz, Phys. Rev. E 65, 026136 (2002). 10.1103/PhysRevE.65.026136
28. H. Hinrichsen and G. Ódor, Phys. Rev. Lett. 82, 1205 (1999). 10.1103/PhysRevLett.82.1205
29. G. Ódor, Rev. Mod. Phys. 76, 663 (2004). 10.1103/RevModPhys.76.663
30. P. Meakin, P. Ramanlal, L. M. Sander, and R. C. Ball, Phys. Rev. A 34, 5091 (1986). 10.1103/PhysRevA.34.5091
31. M. Plischke, Z. Rácz, and D. Liu, Phys. Rev. B 35, 3485 (1987). 10.1103/PhysRevB.35.3485
32. G. Ódor, B. Liedke, and K.-H. Heinig, Phys. Rev. E 79, 021125 (2009). 10.1103/PhysRevE.79.021125
33. T. Ligget, Interacting Particle Systems (Springer-Verlag, Berlin, 1985).
34. S. Katz, J. L. Lebowitz, and H. Spohn, J. Stat. Phys. 34, 497 (1984). 10.1007/BF01018556
35. B. Schmittman and R. K. P. Zia, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, J. L. Lebowitz, (Academic Press, London, 1996), Vol. 17.
36. M. Matsumoto, M. Saito, H. Haramoto, and T. Nishimura, J. Univers. Comput. Sci. 12, 672 (2006).
37. G. Ódor, B. Liedke, and K. Heinig, e-print arXiv:0912.1755.
38. L. H. Tang, B. M. Forrest, and D. E. Wolf, Phys. Rev. A 45, 7162 (1992). 10.1103/PhysRevA.45.7162
39. F. Family and T. Vicsek, J. Phys. A 18, L75 (1985). 10.1088/0305-4470/18/ 2/005
40. F. D. A. Aarão Reis, Phys. Rev. E 69, 021610 (2004). 10.1103/PhysRevE.69.021610
41. S.-V. Ghaisas, Phys. Rev. E 73, 022601 (2006). 10.1103/PhysRevE.73.022601
42. S. Gupta, S. N. Majumdar, C. Godréche, and M. Barma, Phys. Rev. E 76, 021112 (2007). 10.1103/PhysRevE.76.021112
43. See, for example, http://linux.die.net/man/3/drand48