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Self-organization in the A + B → 0 reaction of charged particles

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  • Kuzovkov, V.
  • Kotomin, E.

Abstract

The formalism of many-particle densities developed earlier by the authors is applied to the study of the self-organization phenomena occuring during the course of the bimolecular A + B → 0 reaction between charged particles, interacting via the Coulomb law. Unlike the Debye-Hückel theory, charge screening has an essentially non-equilibrium character. It is shown that for the asymmetric mobility of reactants (DA = 0, DB ≠ 0) similar immobile reactants A form aggregates characterized by a sharp maximum, observed at short distances, in the joint correlation function XA(r, t). Such an aggregation leads to the accelerated particle recombination n ∝ t-54 (nA = nB = n) instead of the generally accepted algebraic law n ∝ t−1.

Suggested Citation

  • Kuzovkov, V. & Kotomin, E., 1992. "Self-organization in the A + B → 0 reaction of charged particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 191(1), pages 172-176.
    • Handle: RePEc:eee:phsmap:v:191:y:1992:i:1:p:172-176
    DOI: 10.1016/0378-4371(92)90522-R
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    References listed on IDEAS

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    1. Blumenfeld, Raphael & Bergman, David J., 1989. "Nonlinear dielectrics: Electrostatics of random media and propagation of electromagnetic waves in a homogeneous slab," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 157(1), pages 428-436.
    2. Masoliver, Jaume & Lindenberg, Katja & Weiss, George H., 1989. "A continuous-time generalization of the persistent random walk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 157(2), pages 891-898.
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    Cited by:

    1. Mai, J. & Kuzovkov, V.N. & von Niessen, W., 1994. "A general stochastic model for the description of surface reaction systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 203(2), pages 298-315.

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