|
ИСТИНА |
Войти в систему Регистрация |
ФНКЦ РР |
||
Mathematical modeling of spatial-temporal structures in a heterogeneous catalytic systemстатья
Информация о цитировании статьи получена из
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 27 мая 2015 г.
- Авторы: Kurkina E.S., Semendyaeva N.L.
- Журнал: Computational Mathematics and Modeling
- Том: 23
- Номер: 2
- Год издания: 2012
- Издательство: Consultants Bureau
- Местоположение издательства: United States
- Первая страница: 133
- Последняя страница: 157
- DOI: 10.1007/s10598-012-9126-1
- Аннотация: The article focuses on mathematical modeling of the spatial-temporal structures that appear in a heterogeneous catalytic reaction on the surface of a catalyst. A system of consistent mathematical models has been developed for a three-component reaction, describing self-organization phenomena on macro, meso, and micro levels. Qualitative analysis of the solutions of the ODE system (macro level) produces the existence regions of spatial-temporal structures of various types in distributed meso- and micro-level models. A point model is applied to predict the shape of traveling impulses and fronts; the switching direction in a bistable medium is determined analytically. Solutions constructed and investigated for a PDE multicomponent reaction-diffusion system describe trigger waves, single traveling impulses, phase and spiral waves. Spatial-temporal structures on the atomic level are investigated by the Monte Carlo method. Direct and inverse trigger waves are implemented, as well as single traveling impulses and spiral waves. The effect of internal fluctuations in the reaction system is investigated. Keywords: mathematical modeling, spatial-temporal structures, reaction-diffusion systems, bifurcation analysis, master equations, Monte-Carlo method, heterogeneous catalysis.
- Добавил в систему: Куркина Елена Сергеевна