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Description of billiards transport properties through Tsallis statistics

Grant number: 24/06749-8
Support Opportunities:Scholarships abroad - Research Internship - Doctorate
Start date: July 15, 2025
End date: January 14, 2026
Field of knowledge:Physical Sciences and Mathematics - Physics - General Physics
Principal Investigator:Edson Denis Leonel
Grantee:Daniel Borin
Supervisor: Diego Fregolent Mendes de Oliveira
Host Institution: Instituto de Geociências e Ciências Exatas (IGCE). Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Rio Claro , SP, Brazil
Institution abroad: University Of North Dakota, United States  
Associated to the scholarship:22/03612-6 - Transport of particles in chaotic seas, BP.DR

Abstract

Billiards, with their complex dynamics and intuitive nature, serve as fundamental systems in statistical physics and dynamical systems theory, offering versatile applications for addressing a wide range of physics problems across various fields. Recent findings suggest a possible characterization of these systems using Tsallis statistics, offering an intriguing direction for investigation. Exploring the potential application of Tsallis statistics to billiard systems presents an exciting opportunity to uncover new insights into their dynamics under non-extensive conditions. This project aims to delve into dynamics properties by Tsallis statistics to enhance our understanding of billiard systems and their dynamics, potentially unveiling novel phenomena and contributing to advancements in Tsallis statistics and practical applications in physics.

News published in Agência FAPESP Newsletter about the scholarship:
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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
LIVORATI, ANDRE LUIS PRANDO; FABER, ANDRE PAGANOTTI; BORIN, DANIEL. Asymptotic convergence for the dynamics of a Duffing-like oscillator under scaling analyses. Chaos, v. 35, n. 1, p. 7-pg., . (22/03612-6, 24/06749-8)