Long-range self-affine correlations in a random soliton gas

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

Volumn 55, Issue 6, 1997, Pages 7691-7695

  Guerrero, L E ^a   Lopez Atencio E ^a,b   Gonzalez J A ^c  

^a INSTITUTO VENEZOLANO DE INVESTIGACIONES CIENTÍFICAS   (Venezuela)

^b FACULTAD DE CIENCIAS VETERINARIAS   (Venezuela)

^c UNIVERSITY OF BRASILIA   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009346328     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.55.7691     Document Type: Article

References (52)

1. W. Horsthemke and R. Lefever, Noise-Induced Transitions: Theory and Applications in Physics, Chemistry and Biology (Springer-Verlag, New York, 1984).
2. P. Hänggi, P. Talkner and M. Borkovec, Rev. Mod. Phys.62, 251 (1990).
3. S H. Park and S. Kim, Phys. Rev. E53, 3425 (1996).
4. Dynamics of Fractal Surfaces, edited by F. Family and T.Vicsek (World Scientific, Singapore, 1991); A. Barabási and H. E. Stanley, Fractal Concepts in Surface Growth (Cambridge Uni- versity Press, Cambridge, 1995).
5. S. Aubry, J. Chem. Phys.62, 3217 (1975).
6. J A. Krumhansl and J R. Schriefer, Phys. Rev. B11, 3535 (1975).
7. A R. Bishop, E. Domany and J A. Krumhansl, Ferroelectrics16, 183 (1977).
8. M A. Collins, A. Blumen, J F. Currie and J. Ross, Phys. Rev.B19, 3630 (1979).
9. M A. Rice, Phys. Lett. A71, 152 (1979);
10. M A. Rice, Phys. Lett. A73, 153 (1979).
11. D K. Campbell and A R. Bishop, Nucl. Phys. B200, 297 (1982).
12. A R. Bishop, J A. Krumhansl and S E. Trullinger, Physica D1, 1 (1980).
13. D S. Fisher, Phys. Rev. B31, 1396 (1985).
14. St. Pnevmatikos, Phys. Lett A122, 249 (1987).
15. A. Gordon, Physica B146, 373 (1987).
16. J. A. González and J A. Holyst, Phys. Rev. B35, 3643 (1987).
17. M. P. A. Fisher, Phys. Rev. Lett.62, 1415 (1989).
18. J. Krug and H. Spohn, Europhys. Lett.8, 219 (1989).
19. J. A. González and J. Estrada-Sarlabous, Phys. Lett. A140, 189 (1989).
20. Yu Lu, Solitons and Polarons in Conducting Polymers (World Scientific, Singapore, 1988).
21. Solitons in Action, edited by K. Lonngren and A. Scott (Academic, New York, 1978).
22. Disorder and Nonlinearity, edited by A. R. Bishop, D. K. Campbell, and St. Pnevmatikos (Springer-Verlag, Berlin, 1989).
23. Nonlinearity with Disorder, edited by F. Kh. Abdullaev, A. R. Bishop, and St. Pnevmatikos (Springer-Verlag, Berlin, 1992).
24. J. A. González and J A. Holyst, Phys. Rev. B45, 10 338 (1992).
25. S N. Coppersmith, Phys. Rev. Lett.65, 1044 (1990).
26. J. Toner and D. DiVincenzo, Phys. Rev. B41, 632 (1990).
27. Y.-C. Tsai and Y. Shapir, Phys. Rev. E50, 3546 (1994).
28. J. A. González and M. Martín-Landrove, Phys. Lett. A191, 409 (1994).
29. J. Krug, Phys. Rev. Lett.75, 1795 (1995).
30. F A. Oliveira and J. A. González, Phys. Rev. B54, 3954 (1996).
31. L E. Guerrero, A. Hasmy and G J. Mata, Physica B194-196, 1631 (1994).
32. R. Rangel, L E. Guerrero and A. Hasmy, Physica B194-196, 411 (1994).
33. L E. Guerrero and R. Rangel, Chaos, Solitons and Fractals6, 151 (1995).
34. R. Rangel and L E. Guerrero, Fractals3, 533 (1995).
35. M. Kardar, G. Parisi and Y.-C. Zhang, Phys. Rev. Lett.56, 889 (1986).
36. K. Sneppen, Phys. Rev. Lett.69, 3539 (1992).
37. M. Büttiker and R. Landauer, in Nonlinear Phenomena at Phase Transitions and Instabilities, edited by T. Riste (Plenum, New York, 1982);
38. C H. Bennet, M. Büttiker, R. Landauer and H. Thomas, J. Stat. Phys.24, 419 (1981).
39. M. Rost and H. Spohn, Phys. Rev. E49, 3709 (1994).
40. N. Minorsky, Nonlinear Oscillations (Van Nostrand, Princeton, 1962).
41. D S. Boudreaux, R R. Chance, J. L. Brédas and R. Silbey, Phys. Rev. B28, 6927 (1983).
42. A M. Kosevich, B A. Ivanov and A S. Kovalev, Phys. Rep.194, 117 (1990).
43. L V. Yakushevich, Nanobiology1, 343 (1992).
44. M. Hogan, N. Dattagupta and D M. Crothers, Nature278, 521 (1979).
45. G B. Kolata, Science198, 41 (1977).
46. Wavelets, edited by J. M. Combes, A. Grossmann, and Ph. Tchamitchian (Springer-Verlag, Berlin, 1990) and references therein.
47. G. Grinstein (unpublished).
48. M C. Cross and P C. Hohenberg, Rev. Mod. Phys.65, 851 (1993) and references therein.
49. K B. Migler and R B. Meyer, Phys. Rev. Lett.66, 1485 (1991);
50. K B. Migler and R B. Meyer, Physica D71, 412 (1994).
51. I S. Aranson, L. Kramer and A. Weber, Phys. Rev. Lett.67, 404 (1991).
52. P C. Hendry, N S. Lawson, R. A. M. Lee, P. V. E. McClintock and C. D. H. Williams, Nature368, 315 (1994).