Universal behavior of the coefficients of the continuous equation in competitive growth models

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

Volumn 69, Issue 6 2, 2004, Pages

  Muraca, D ^a   Braunstein, L A ^a,b   Buceta, R C ^a  

^a UNIVERSIDAD NACIONAL DE MAR DEL PLATA   (Argentina)

^b Boston University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHEMICAL VAPOR DEPOSITION; COMPUTER SIMULATION; ELECTRODEPOSITION; FUNCTIONS; GAUSSIAN NOISE (ELECTRONIC); MATHEMATICAL MODELS; NONLINEAR EQUATIONS; PROBABILITY; SURFACE ROUGHNESS;

BALLISTIC DEPOSITION (BD); COMPETITIVE GROWTH MODELS (CGM); RANDOM DEPOSITION (RD); SURFACE RELAXATION;

GROWTH KINETICS;

EID: 42749108496     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.69.065103     Document Type: Article

References (19)

1. F. Family, J. Phys. A 19, L441 (1986).
2. A.-L. Barabási and H. E. Stanley, Fractal Concepts in Surface Growth (Cambridge University Press, New York, 1995); P. Meakin, Fractals, Scaling and Growth far from Equilibrium (Cambridge University Press, Cambridge, 1998).
3. A.-L. Barabási and H. E. Stanley, Fractal Concepts in Surface Growth (Cambridge University Press, New York, 1995); P. Meakin, Fractals, Scaling and Growth far from Equilibrium (Cambridge University Press, Cambridge, 1998).
4. E. V. Albano, R. C. Salvarezza, L. Vázquez and A. J. Arvia, Phys. Rev. B 59, 7354 (1999).
5. S. Clar, B. Drossel, and F. Schwabl, J. Phys.: Condens. Matter 8, 6803 (1996).
6. Y. Shapir, S. Raychaudhuri, D. G. Foster, and J. Jorne, Phys. Rev. Lett. 84, 3029 (2000).
7. C. M. Horowitz, R. A. Monetti, and E. V. Albano, Phys. Rev. E 63, 066132 (2001).
8. Y. P. Pellegrini and R. Jullien, Phys. Rev. Lett. 64, 1745 (1990); Phys. Rev. A 43, 920 (1991).
9. Y. P. Pellegrini and R. Jullien, Phys. Rev. Lett. 64, 1745 (1990); Phys. Rev. A 43, 920 (1991).
10. A. Chame and F. D. A. Aarão Reis, Phys. Rev. E 66, 051104 (2002).
11. N. G. Van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1981).
12. D. D. Vvedensky, Phys. Rev. E 67, 025102(R) (2003).
13. L. A. Braunstein, R. C. Buceta, C. D. Archubi, and G. Costanza, Phys. Rev. E 62, 3920 (2000).
14. Notice that if the model involves only the nearest neighbors the evolution equation contains only the first moment [13].
15. D. D. Vvedensky, A. Zangwill, C. N. Luse, and M. R. Wilby, Phys. Rev. E 48, 852 (1993); G. Costanza, ibid. 55, 6501 (1997).
16. D. D. Vvedensky, A. Zangwill, C. N. Luse, and M. R. Wilby, Phys. Rev. E 48, 852 (1993); G. Costanza, ibid. 55, 6501 (1997).
17. T. Nattermann and L.-H. Tang; Phys. Rev. A 45, 7156 (1992).
18. J. G. Amar and F. Family, Phys. Rev. A 45, R3373 (1992).
19. M. Predota and M. Kotrla, Phys. Rev. E 54, 3933 (1996).