| Grant number: | 20/10602-1 |
| Support Opportunities: | Scholarships in Brazil - Scientific Initiation |
| Start date: | October 01, 2020 |
| End date: | September 30, 2021 |
| Field of knowledge: | Physical Sciences and Mathematics - Physics - General Physics |
| Principal Investigator: | Edson Denis Leonel |
| Grantee: | Lucas Kenji Arima Miranda |
| Host Institution: | Instituto de Geociências e Ciências Exatas (IGCE). Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Rio Claro , SP, Brazil |
Abstract The theme of investigation in this project is a dynamical phase transition observed in Hamiltonian systems that is a transition from integrability to non-integrability. Using the dynamics described by a discrete mapping on the variables action $I$ and angle $\theta$ we show that depending on the family of mappings considered, scaling invariance is observed for the chaotic sea leading to a universal chaotic diffusion. This scaling invariance observed along the chaotic sea is an evidence that the system experiences a phase transition. In this project we shall respond to four main questions leading to a characterization of a phase transition: (1) identify what is the broken symmetry; (2) define an order parameter; (3) obtain what are the elementary excitations and; (4) identify the topological defects affecting the chaotic diffusion of particles. | |
| News published in Agência FAPESP Newsletter about the scholarship: | |
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