|Support type:||Scholarships in Brazil - Doctorate|
|Effective date (Start):||October 01, 2007|
|Effective date (End):||May 31, 2011|
|Field of knowledge:||Physical Sciences and Mathematics - Chemistry - Physical-Chemistry|
|Principal Investigator:||Hamilton Brandão Varela de Albuquerque|
|Grantee:||Melke Augusto do Nascimento|
|Home Institution:||Instituto de Química de São Carlos (IQSC). Universidade de São Paulo (USP). São Carlos , SP, Brazil|
The study of spatiotemporal pattern formation in reaction-transport systems has becoming a very active research area. Complex behavior in these systems occurs under far from equilibrium conditions and results of the interaction between the temporal nonlinear dynamics and transport properties. Given some properties of lateral information exchange and the easiness of global control, reaction-migration systems taking place at the slid/liquid interface are considered interesting model-systems. It is proposed in this project the modeling and to perform numerical simulations of the current and potential oscillations present in some electrooxidation reactions of small organic molecules. The model to be used in the study of the point-like system consists basically of three ordinary differential equations. The bifurcation diagrams as a function of the adjustable parameters and its respective time series will be investigated. In the second step, the model will be expanded to one and two spatial dimensions, by means of the pseudo-spectral method for resolution of the partial differential equations.