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JOURNALS // Prikladnaya Diskretnaya Matematika // Archive

Prikl. Diskr. Mat., 2009 Number 3(5), Pages 33–49 (Mi pdm131)

This article is cited in 7 papers

Computational Methods in Discrete Mathematics

Discrete models of physical-chemical processes

O. L. Bandman

Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia

Abstract: The results of the investigation of discrete models of physical-chemical kinetic processes are presented in a systematic form. The models are extensions of the classical fon-Neumann Cellular Automaton (CA), differing from it in two points: 1) transition functions are allowed to be probabilistic, and 2) not only synchronous, but asynchronous and composed modes of functioning may be used. Mathematical background of the models is based on the formalisms of the “Parallel Substitution Algorithm”. Validity conditions and parallel implementation efficiency for synchronous and asynchronous CA-models are studied. All models are illustrated by the results of computer simulation of physical-chemical kinetics on micro- and nano-levels.

UDC: 621.391.1:004.7



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