Discrete versus continual description of solid state reaction dynamics from the angle of meaningful simulation

Chemical dynamics provides quite a number of examples of interesting and useful discrete models. But it catches one's eye that the majority of them are from the field of homogeneous chemistry. Whereas the chemical individuality of solid substances is represented in discrete terms of crystal lat...

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Main Author:	A. Korobov
Format:	Article
Language:	English
Published:	Hindawi Limited 2000-01-01
Series:	Discrete Dynamics in Nature and Society
Subjects:	Solid state reactions Discrete dynamics Geometric-probabilistic phenomenology Dirichlet tessellations Cellular automata.
Online Access:	http://dx.doi.org/10.1155/S1026022600000157

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spelling	doaj-ff647da862a14e7fb8cbe0fcac4d7d682020-11-24T21:06:01ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2000-01-014216517910.1155/S1026022600000157Discrete versus continual description of solid state reaction dynamics from the angle of meaningful simulationA. Korobov0Kharkov University, P.O.Box 10313, Kharkov 310023, UkraineChemical dynamics provides quite a number of examples of interesting and useful discrete models. But it catches one's eye that the majority of them are from the field of homogeneous chemistry. Whereas the chemical individuality of solid substances is represented in discrete terms of crystal lattices, the conventional description of solid state reaction dynamics is essentially continual. The recent progress in the theory of random mosaics and theory of planigons opens the way for developing an alternative discrete description in terms of Dirichlet tessellations. In the present paper the two approaches are compared from the angle of meaningful simulation. It seems that this may be of interest not only for chemists but also in the broad context of developing and employing discrete dynamical models.http://dx.doi.org/10.1155/S1026022600000157Solid state reactionsDiscrete dynamicsGeometric-probabilistic phenomenology Dirichlet tessellationsCellular automata.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	A. Korobov
spellingShingle	A. Korobov Discrete versus continual description of solid state reaction dynamics from the angle of meaningful simulation Discrete Dynamics in Nature and Society Solid state reactions Discrete dynamics Geometric-probabilistic phenomenology Dirichlet tessellations Cellular automata.
author_facet	A. Korobov
author_sort	A. Korobov
title	Discrete versus continual description of solid state reaction dynamics from the angle of meaningful simulation
title_short	Discrete versus continual description of solid state reaction dynamics from the angle of meaningful simulation
title_full	Discrete versus continual description of solid state reaction dynamics from the angle of meaningful simulation
title_fullStr	Discrete versus continual description of solid state reaction dynamics from the angle of meaningful simulation
title_full_unstemmed	Discrete versus continual description of solid state reaction dynamics from the angle of meaningful simulation
title_sort	discrete versus continual description of solid state reaction dynamics from the angle of meaningful simulation
publisher	Hindawi Limited
series	Discrete Dynamics in Nature and Society
issn	1026-0226 1607-887X
publishDate	2000-01-01
description	Chemical dynamics provides quite a number of examples of interesting and useful discrete models. But it catches one's eye that the majority of them are from the field of homogeneous chemistry. Whereas the chemical individuality of solid substances is represented in discrete terms of crystal lattices, the conventional description of solid state reaction dynamics is essentially continual. The recent progress in the theory of random mosaics and theory of planigons opens the way for developing an alternative discrete description in terms of Dirichlet tessellations. In the present paper the two approaches are compared from the angle of meaningful simulation. It seems that this may be of interest not only for chemists but also in the broad context of developing and employing discrete dynamical models.
topic	Solid state reactions Discrete dynamics Geometric-probabilistic phenomenology Dirichlet tessellations Cellular automata.
url	http://dx.doi.org/10.1155/S1026022600000157
work_keys_str_mv	AT akorobov discreteversuscontinualdescriptionofsolidstatereactiondynamicsfromtheangleofmeaningfulsimulation
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Discrete versus continual description of solid state reaction dynamics from the angle of meaningful simulation

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