Theoretical foundation for the discrete dynamics of physicochemical systems: Chaos, self-organization, time and space in complex systems
A new theoretical foundation for the discrete dynamics of physicochemical systems is presented. Based on the analogy between the π-theorem of the theory of dimensionality, the second law of thermodynamics and the stoichiometry of complex physicochemical reactions, basic dynamic equations and an extr...
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| Format: | Article |
| Language: | English |
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Wiley
1997-01-01
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| Series: | Discrete Dynamics in Nature and Society |
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| Online Access: | http://dx.doi.org/10.1155/S1026022697000058 |
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| _version_ | 1849685057814396928 |
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| author | V. Gontar |
| author_facet | V. Gontar |
| author_sort | V. Gontar |
| collection | DOAJ |
| description | A new theoretical foundation for the discrete dynamics of physicochemical systems is presented. Based on the analogy between the π-theorem of the theory of dimensionality, the second law of thermodynamics and the stoichiometry of complex physicochemical reactions, basic dynamic equations and an extreme principle were formulated. The meaning of discrete time and space in the proposed equations is discussed. Some results of numerical calculations are presented to demonstrate the potential of the proposed approach to the mathematical simulation of spatiotemporal physicochemical reaction dynamics. |
| format | Article |
| id | doaj-art-c25cd88ff52d4eeca5e1901c877c9f57 |
| institution | DOAJ |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 1997-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-c25cd88ff52d4eeca5e1901c877c9f572025-08-20T03:23:16ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X1997-01-0111314310.1155/S1026022697000058Theoretical foundation for the discrete dynamics of physicochemical systems: Chaos, self-organization, time and space in complex systemsV. Gontar0International Group for Scientific and Technological Chaos Studies, Ben-Gurion University of the Negev, P.O.B. 653, Beer-Sheva 84105, IsraelA new theoretical foundation for the discrete dynamics of physicochemical systems is presented. Based on the analogy between the π-theorem of the theory of dimensionality, the second law of thermodynamics and the stoichiometry of complex physicochemical reactions, basic dynamic equations and an extreme principle were formulated. The meaning of discrete time and space in the proposed equations is discussed. Some results of numerical calculations are presented to demonstrate the potential of the proposed approach to the mathematical simulation of spatiotemporal physicochemical reaction dynamics.http://dx.doi.org/10.1155/S1026022697000058ChaosDiscrete dynamicsChemical reaction dynamicsComplexity. |
| spellingShingle | V. Gontar Theoretical foundation for the discrete dynamics of physicochemical systems: Chaos, self-organization, time and space in complex systems Discrete Dynamics in Nature and Society Chaos Discrete dynamics Chemical reaction dynamics Complexity. |
| title | Theoretical foundation for the discrete dynamics of physicochemical systems: Chaos, self-organization, time and space in complex systems |
| title_full | Theoretical foundation for the discrete dynamics of physicochemical systems: Chaos, self-organization, time and space in complex systems |
| title_fullStr | Theoretical foundation for the discrete dynamics of physicochemical systems: Chaos, self-organization, time and space in complex systems |
| title_full_unstemmed | Theoretical foundation for the discrete dynamics of physicochemical systems: Chaos, self-organization, time and space in complex systems |
| title_short | Theoretical foundation for the discrete dynamics of physicochemical systems: Chaos, self-organization, time and space in complex systems |
| title_sort | theoretical foundation for the discrete dynamics of physicochemical systems chaos self organization time and space in complex systems |
| topic | Chaos Discrete dynamics Chemical reaction dynamics Complexity. |
| url | http://dx.doi.org/10.1155/S1026022697000058 |
| work_keys_str_mv | AT vgontar theoreticalfoundationforthediscretedynamicsofphysicochemicalsystemschaosselforganizationtimeandspaceincomplexsystems |