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Diffusion-controlled reaction, A+B→C, with initially separated reactants

Author

Listed:
  • Havlin, S.
  • Araujo, M.
  • Larralde, H.
  • Stanley, H.E.
  • Trunfio, P.

Abstract

We review recent developments in the study of diffusion-reaction systems of the type A+B→C in which reactants are initially separated. We consider two initial boundary conditions: (i) the A and B particles are initially placed uniformly in Euclidean space at x>O and x<0 respectively, and (ii) the A particles are diffusing and inserted at a given site and the B particles are static and distributed uniformly in space. We present analytical and numerical results for both systems. We consider d = 1, 2, 3 dimensional systems as well as fractal lattices.

Suggested Citation

  • Havlin, S. & Araujo, M. & Larralde, H. & Stanley, H.E. & Trunfio, P., 1992. "Diffusion-controlled reaction, A+B→C, with initially separated reactants," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 191(1), pages 143-152.
    • Handle: RePEc:eee:phsmap:v:191:y:1992:i:1:p:143-152
    DOI: 10.1016/0378-4371(92)90519-V
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    References listed on IDEAS

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    1. Bakal, Donald A. & Demjen, Stefan & Kaganov, Judith, 1984. "The continous nature of headache susceptibility," Social Science & Medicine, Elsevier, vol. 19(12), pages 1305-1311, January.
    2. Havlin, S. & Larralde, H. & Kopelman, R. & Weiss, G.H., 1990. "Statistical properties of the distance between a trapping center and a uniform density of diffusing particles in two dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 169(3), pages 337-341.
    3. Carrington, Peter J. & Moyer, Sharon & Kopelman, Faigie, 1988. "Factors affecting pre-dispositional detention and release in Canadian juvenile courts," Journal of Criminal Justice, Elsevier, vol. 16(6), pages 463-476.
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    Cited by:

    1. Cox, Stephen M. & Clifford, Michael J. & Roberts, E.P.L., 1998. "A two-stage reaction with initially separated reactants," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 256(1), pages 65-86.

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