Propagation and organization in lattice random media

Journal of Statistical Physics

Volumn 97, Issue 3-4, 1999, Pages 575-608

  Grosfils, Patrick ^a   Boon, Jean Pierre ^a   Cohen, E G D ^b   Bunimovich, L A ^c  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

^b ROCKEFELLER UNIVERSITY   (United States)

^c GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Lattice models; Propagation; Random media

Indexed keywords

EID: 0033235594     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1004611208149     Document Type: Article

References (17)

1. C. G. Langton, Physica D 22:120 (1986); D. Gale, The Mathematical Intelligencer 15:54 (1993): S. E. Troubetskoy, Lewis-Parker Lecture (1997), and references therein.
2. C. G. Langton, Physica D 22:120 (1986); D. Gale, The Mathematical Intelligencer 15:54 (1993): S. E. Troubetskoy, Lewis-Parker Lecture (1997), and references therein.
3. C. G. Langton, Physica D 22:120 (1986); D. Gale, The Mathematical Intelligencer 15:54 (1993): S. E. Troubetskoy, Lewis-Parker Lecture (1997), and references therein.
4. X. P. Kong and E. G. D. Cohen. J. Stat. Phys. 62:737 (1991); E. G. D. Cohen and F. Wang, J. Stat. Phys. 81:445 (1995); Physica A 219:56 (1995), and references therein: H.-F. Meng and E. G. D. Cohen, Phys. Rev. E 50:2482 (1994).
5. X. P. Kong and E. G. D. Cohen. J. Stat. Phys. 62:737 (1991); E. G. D. Cohen and F. Wang, J. Stat. Phys. 81:445 (1995); Physica A 219:56 (1995), and references therein: H.-F. Meng and E. G. D. Cohen, Phys. Rev. E 50:2482 (1994).
6. X. P. Kong and E. G. D. Cohen. J. Stat. Phys. 62:737 (1991); E. G. D. Cohen and F. Wang, J. Stat. Phys. 81:445 (1995); Physica A 219:56 (1995), and references therein: H.-F. Meng and E. G. D. Cohen, Phys. Rev. E 50:2482 (1994).
7. X. P. Kong and E. G. D. Cohen. J. Stat. Phys. 62:737 (1991); E. G. D. Cohen and F. Wang, J. Stat. Phys. 81:445 (1995); Physica A 219:56 (1995), and references therein: H.-F. Meng and E. G. D. Cohen, Phys. Rev. E 50:2482 (1994).
8. L. A. Bunimovich and S. E. Troubetzkoy, J. Stat. Phys. 74:1 (1994), and references therein: L. A. Bunimovich, Int. J. Bifur. Chaos 6:1127 (1996).
9. L. A. Bunimovich and S. E. Troubetzkoy, J. Stat. Phys. 74:1 (1994), and references therein: L. A. Bunimovich, Int. J. Bifur. Chaos 6:1127 (1996).
10. See also F. Wang and E. G. D. Cohen, J. Stat. Phys. 84:233 (1996).
11. See also Eq. (14) in E. G. D. Cohen, New types of diffusion in lattice gas cellular automata, in Microscopic Simulations of Complex Hydrodynamic Phenomena, M. Mareschal and B. L. Holian, eds., NATO ASI Series B: Physics Vol. 292, p. 145.
12. See, e.g., W. Feller, An Introduction to Probability Theory, 3rd ed. (Wiley, New York, 1968), Vol. 1, Section XIV.6.
13. The continuous limit of Eq. (3.3) and the comparison with the continuous limit of the BRW equation are discussed in a paper by J. P. Boon (to be published).
14. Reference 6, Section XI.2; see also N. Van Kampen, Stochastic Processes (North Holland, Amsterdam, 1990). Section IV.6.
15. Reference 6, Section VII.2.
16. H. A. Peelle, The game of life, in Recreational Computing, Vol. 7 (1979), pp. 16 27: E. Berlekamp, J. Conway, and R. Guy, What is life, in Winning Ways, Vol.2 (Academic Press, 1982), Ch. 25.
17. H. A. Peelle, The game of life, in Recreational Computing, Vol. 7 (1979), pp. 16 27: E. Berlekamp, J. Conway, and R. Guy, What is life, in Winning Ways, Vol.2 (Academic Press, 1982), Ch. 25.