A solvable aggregation-annihilation chain model with n species

Physica A: Statistical Mechanics and its Applications

Volumn 237, Issue 3-4, 1997, Pages 441-448

  Zhang, Ligen ^a   Yang, Z R ^a,b  

^a BEIJING NORMAL UNIVERSITY   (China)

^b CCAST WORLD LABORATORY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; REACTION KINETICS;

AGGREGATION ANNIHILATION CHAIN MODEL; MEAN FIELD THEORY;

AGGLOMERATION;

EID: 0031125975     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(96)00430-X     Document Type: Article

References (25)

1. M. von Smoluchowski, Z. Phys. Chem. 92 (1917) 129.
2. P.L. Krapivsky, Physica A 198 (1993) 135.
3. R.L. Drake, in: Topics of Current Aerosol Research, eds. G.M. Hidy and J.R. Brook (Pergamon, New York, 1972).
4. S.K. Friedlander, Smoke, Dust and Haze (Wiley, New York, 1977).
5. P. Meakin, Phys. Rev. Lett. 51 (1983) 1119.
6. K. Kang and S. Redner, Phys. Rev. A 30 (1984) 2833.
7. Z. Racz, Phys. Rev. A 32 (1985) 1129.
8. E.D. McGrady and R.M. Ziff, Phys. Rev. Lett. 58 (1987) 892.
9. F. Family and P. Meakin, Phys. Rev. Lett. 61 (1988) 428.
10. H. Takayasu, Phys. Rev. Lett. 62 (1989) 2321.
11. C.R. Doering and M.A. Burschka, Phys. Rev. Lett. 64 (1990) 245.
12. S. Song and D. Poland, Phys. Rev. A 46 (1992) 5063.
13. M. Katori and N. Konno, J. Phys. A 26 (1993) 6597.
14. J.A. Blackman and A. Marshall, J. Phys. A 27 (1994) 725.
15. E. Ben-Naim and P.L. Krapivsky, J. Phys. A 27 (1994) L481.
16. Z. Dexin and D. ben-Avraham, J. Phys. A 28 (1995) 33.
17. T.A. Witten and L.M. Sander, Phys. Rev. Lett. 47 (1983) 1400.
18. M. Kolb, R. Botet and R. Jullien, Phys. Rev. Lett. 51 (1983) 1123.
19. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, San Francisco, 1982).
20. J.L. Spouge, J. Phys. A 21 (1988) 4183.
21. B.R. Thomson, J. Phys. A 22 (1989) 879.
22. D. ben-Avraham, Phys. Rev. Lett. 71 (1993) 3733.
23. M. Bramson and J.L. Lebowitz, Phys. Rev. Lett. 61 (1988) 2397.
24. P.L. Krapivsky, Physica A 198 (1993) 150, 157.
25. L. Zhang and Z.R. Yang, Solvable aggregation-annihilation processes with 1 > 2 components, Phys. Rev. E, submitted.