Atomic Energy

, Volume 87, Issue 1, pp 496–504 | Cite as

Characteristic features of the radiolysis of water irradiated under strictly fixed conditions and under conditions varying over a small range

  • M. L. Lukashenko
  • S. A. Kabakchi
  • O. P. Arkhipov
  • A. I. Milaev


A qualitative mathematical analysis of the system of differential equations that describes the radiolysis of pure water and water solutions of hydrogen, hydrogen peroxide, and oxygen is performed. It is established that in a closed volume with fixed values of external parameters (dose rate, temperature, and others) a steady state characterized by a stable singular point-type attractor is unavoidably reached. The type of attractor does not depend on the values of the external parameters, i.e., in principle the system possesses self-regulation properties with respect to them. It is shown that under real conditions, when the external parameters cannot be strictly fixed, the existence of a stationary state and a stationary concentration of the products of radiolysis of water are determined not only by the specific values of the external parameters but also by their variation in the time required to establish a stationary state. 3 figures, 1 table, 10 references.


Dose Rate H202 Elementary Reaction Stable Product External Parameter 
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Copyright information

© Kluwer Academic/Plenum Publishers 1999

Authors and Affiliations

  • M. L. Lukashenko
    • 1
  • S. A. Kabakchi
    • 2
  • O. P. Arkhipov
  • A. I. Milaev
  1. 1.Russian Science Center “Kurchatov InstituteUSSR
  2. 2.State Science Center of the Russian Federation-L. Ya. Karpov Scientific-Research Institute of Physical ChemistryUSSR

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