| Grant number: | 24/14825-6 |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - Brazil |
| Start date: | February 01, 2025 |
| End date: | July 31, 2025 |
| Field of knowledge: | Physical Sciences and Mathematics - Physics |
| Principal Investigator: | Iberê Luiz Caldas |
| Grantee: | Iberê Luiz Caldas |
| Visiting researcher: | Jose Danilo Szezech Jr |
| Visiting researcher institution: | Setor De Ciências Exatas E Naturais/Scen/Uepg, Brazil |
| Host Institution: | Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil |
| Associated research grant: | 18/03211-6 - Non linear dynamics, AP.TEM |
Abstract
Transport phenomena in dynamical systems have been widely studied, with nonlinear effects crucial in understanding various transport processes. Turbulence, in particular, is an age-old issue in classical physics and has been the subject of intense research for several decades, encompassing a broad range of problems related to fluids, plasmas, and waves. Indeed, considerable effort has been devoted to obtaining a detailed description of the onset and development of turbulence. Fluid turbulence is fundamental to the temporal evolution of many systems, from planetary and stellar atmospheres to the surfaces of airplanes and cars. Plasma turbulence, especially, has become increasingly relevant in magnetic fusion research, where it is believed that edge turbulence in the plasma plays a crucial role in the transport of energy and particles. This research plan investigates fluid flow models that explicitly depend on time. Unlike time-independent systems, these models do not have fixed points, and the resulting separatrices exhibitan explicit time dependence. Understanding and analyzing separatrices is essential for determining flow transport, with these structures known as Coherent Lagrangian Structures (CLS). Typically,finite-time Lyapunov exponents are used to identify CLS. Still, we propose testing new diagnostics, such as entropy, to determine them and exploring other flow equations. We will develop methods to identify, determine, and calculate transport to achieve this. Addressing these topics will allow significant advances in our knowledge of complex systems and their potential applications in various scientific and technological fields. (AU)
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