publication . Article . Preprint . 1996

Kinetics of fragmentation-annihilation processes

Filipe, Joao A. N.; Rodgers, Geoff J.;
Open Access English
  • Published: 13 Mar 1996
  • Publisher: American Physical Society
Abstract
We investigate the kinetics of systems in which particles of one species undergo binary fragmentation and pair annihilation. In the latter, nonlinear process, fragments react at collision to produce an inert species, causing loss of mass. We analyze these systems in the reaction-limited regime by solving a continuous model within the mean-field approximation. The rate of fragmentation for a particle of mass x to break into fragments of masses y and x-y has the form x(lambda-1) (lambda > 0), and the annihilation rate is constant and independent of the masses of the reactants. We find that the asymptotic regime is characterized by the annihilation of small-mass cl...
Subjects
free text keywords: Condensed Matter, Physics - Chemical Physics, Pair annihilation process, Reacting catalysts, Binary fragmentation process
29 references, page 1 of 2

[1] E Ben-Naim and P L Krapivsky, Phys. Rev. E 52, 6066 (1995).

[2] P L Krapivsky, Physica A 198, 135 (1993).

[3] I M Sokolov and A Blumen, Phys. Rev. E 50, 2335 (1994).

[4] W R Johnson and C C Price, J. Polym. Sci. 45, 217 (1960); E W Merril, H S Mickley and A J Ram, J. Polym. Sci. 62, S109 (1962).

[5] A M Basedow, K H Ebert and H J Ederer, Macromol. 11, 774 (1978).

[6] P A Glynn, B M van der Hoff and P M Reilly, J. Macromol. Sci. Chem. A6, 1653 (1972).

[7] R Shinnar, J. Fluid. Mech. 10, 259 (1961).

[8] R Meyer, K E Almin and B Steenber, Br. J. Appl. Phys. 17, 409 (1966).

[9] L Ouali and E Pefferkorn, J. Colloid Interface Sci. 161, 237 (1993); D Beysens, J M Petit, T Narayanan, A Kumar, and M L Broide, Inter. J. Phys. Chem. 98, 382 (1994).

[10] R M Ziff and E D McGrady, J. Phys. A 18, 3037 (1985).

[11] R M Ziff and E D McGrady, Macromol. 19, 2513 (1986).

[12] P G J van Dongen and M Ernst, J. Stat. Phys. 37, 301 (1984).

[13] T Sintes, R Toral and A Chakrabarti, Phys. Rev. E 50, 2967 (1994).

[14] F Family, P Meakin and J M Deutch, Phys. Rev. Lett. 57, 727 (1986).

[15] J A Blackman and A Marshall, J. Phys. A 27, 725 (1994).

29 references, page 1 of 2
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publication . Article . Preprint . 1996

Kinetics of fragmentation-annihilation processes

Filipe, Joao A. N.; Rodgers, Geoff J.;