Computer simulations of diffusion-limited reactions

Computing in Science and Engineering

Volumn 3, Issue 1, 2001, Pages 72-76

  Dawkins, Roan ^a   Ben Avraham, Daniel ^a  

^a CLARKSON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038695095     PISSN: 15219615     EISSN: None     Source Type: Journal    
DOI: 10.1109/5992.895190     Document Type: Article

References (12)

1. N.G. van Kampen, Stochastic Processes in Physics and Chemistry, North-Holland, Amsterdam, 1981.
2. D. ben-Avraham and S. Havlin, Diffusion and Reactions in Fractals and Disordered Systems, Cambridge Univ. Press, Cambridge, UK, 2000, chapters 11-13.
3. P. Argyrakis, "Simulation of Diffusion Controlled Chemical Reactions," Computers in Physics, Vol. 6, No. 5, 1992, p. 525.
4. D. ben-Avraham, M.A. Burschka, and C.R. Doering, "Statics and Dynamics of a Diffusion-Limited Reaction: Anomalous Kinetics, Nonequilibrium Self-Ordering, and a Dynamic Transition," J. Statistical Physics, Vol. 60, Nos. 5/6, 1990, pp. 695-728.
5. K. Kang and S. Redner, "Fluctuation-Dominated Kinetics in Diffusion-Controlled Reactions," Physical Rev. A, Vol. 2, No. 1, July 1985, pp. 435-447.
6. S. Redner, "Scaling Theories of Diffusion-Controlled and Ballistically Controlled Bimolecular Reactions," Nonequilibrium Statistical Mechanics in One Dimension, V. Privman, ed., Cambridge Univ. Press, Cambridge, UK, 1997, pp. 3-27.
7. D. ben-Avraham, "Computer Simulation Methods for Diffusion-Controlled Reactions," J. Chemical Physics, Vol. 88, No. 2, 1987, pp. 941-948.
8. D. ben-Avraham et al., "Saturation Transition in a Monomer-Monomer Model of Heterogeneous Catalysis," J. Physics A, Vol. 23, No. 19, 7 Oct. 1990, pp. 4297-4312.
9. S.A. Janowsky, "Asymptotic Behavior of A + B → Inert for Particles with a Drift," Physical Rev. E, Vol. 51, No. 3, Mar. 1995, pp. 1858-1860.
10. S.A. Janowsky, "Spatial Organization in the Reaction A + B → Inert for Particles with Drift," Physical Rev. E, Vol. 52, No. 3, Sept. 1995, pp. 2535-2539.
11. I. Ispolatov, P.L. Krapivsky, and S. Redner, "Kinetics of A + B → 0 with Driven Diffusive Motion," Physical Rev. E, Vol. 52, No. 3, Sept. 1995, pp. 2540-2545.
12. D. ben-Avraham, V. Privman, and D. Zhong, "Two-Species Annihilation with Drift: A Model with Continuous Concentration-Decay Exponents," Physical Rev. E, Vol. 52, No. 6, Dec. 1995, pp. 6889-6891.