Using the Monte-Carlo Method in Chemical Kinetics

The contemporary kinetic theory of reacting gases is based on the solution to Boltzmann's equation. Since the reaction disturbs the equilibrium distribution, the problem consists of finding the non-equilibrium distribution function and the reaction rate which corresponds to this function. Altho...

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Bibliographic Details
Main Authors: Lebedev,S. N, Leonas,V. B, Malama,Yu. G, Osipov,A. I
Format: Report
Language:English
Subjects:
BOLTZMANN EQUATION
CHEMICAL REACTIONS
ENERGY
GASES
MONTE CARLO METHOD
Physical Chemistry
REACTION KINETICS
TRANSLATIONS
USSR
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Summary:The contemporary kinetic theory of reacting gases is based on the solution to Boltzmann's equation. Since the reaction disturbs the equilibrium distribution, the problem consists of finding the non-equilibrium distribution function and the reaction rate which corresponds to this function. Although the direct numerical integration of Boltzmann's equation is possible, with the exception of the simplest cases it requires unacceptably high expenditures of machine time. In this situation attempts appear hopeful for using the Monte-Carlo method (MCM) for solving problems of gas kinetics and gas dynamics. In this article the discussion will concern the 'physical variety' of the MCM which consists of the direct modeling of the sequence of elementary events of the particle interaction of the system studied on a computer. Edited machine trans. of mono. Gorenie i Vzryv, Moscow, 1972 p702-711, by Carol S. Nack.