Chaotic transport in symplectic maps: Applications in plasma

• Grant number: 18/03000-5
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: June 01, 2018
• End date: May 31, 2023
• Field of knowledge: Physical Sciences and Mathematics - Physics
• Principal Investigator: Iberê Luiz Caldas
• Grantee: Matheus Palmero Silva
• Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 11/19296-1 - Nonlinear dynamics, AP.TEM
• Associated scholarship(s): 20/12478-6 - Anomalous transport in symplectic maps: application in plasma dynamics, BE.EP.DR

Abstract

In this research project, we are going to investigate the chaotic transport present in the dynamics of symplectic maps, which describes qualitatively effects of the dynamics of confined plasma in tokamaks. The chaotic transport considered occurs along the lines of the magnetic field that traps the plasma. The trapping can be enhanced with the introduction of a divertor plate or a chaotic limiter that modify the magnetic configuration. However, in these cases, the transport exhibits interesting anomalous effects to be investigated. To describe the field lines perturbated by a divertor, we are going to use the map introduced by Boozer. To describe the lines perturbed by a chaotic limiter, we are going to use the map introduced by Ullmann. Statistical analysis, provided by the study of the transport for these maps, should provide new interpretations of the effects in the confinement of plasma.

Scientific publications

(7)

(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)

DIAZ, I, GABRIEL; PALMERO, MATHEUS S.; CALDAS, IBERE LUIZ; LEONEL, EDSON D.. Diffusion entropy analysis in billiard systems. Physical Review E, v. 100, n. 4, OCT 7 2019. (18/03211-6, 17/14414-2, 18/03000-5)

PALMERO, MATHEUS S.; DIAZ, I, GABRIEL; CALDAS, IBERE L.; SOKOLOV, IGOR M.. Sub-diffusive behavior in the Standard Map. European Physical Journal-Special Topics, JUN 2021. (18/03211-6, 18/03000-5)

PALMERO, MATHEUS S.; CALDAS, IBERE L.; SOKOLOV, IGOR M.. Finite-time recurrence analysis of chaotic trajectories in Hamiltonian systems. Chaos, v. 32, n. 11, p. 16-pg., 2022-11-01. (18/03211-6, 20/12478-6, 18/03000-5)

DA COSTA, DIOGO RICARDO; PALMERO, MATHEUS S.; MENDEZ-BERMUDEZ, J. A.; IAROSZ, KELLY C.; SZEZECH JR, JOSE D.; BATISTA, ANTONIO M.. Tilted-hat mushroom billiards: Web-like hierarchical mixed phase space. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 91, p. 9-pg., 2020-12-01. (19/06931-2, 18/03000-5, 20/02415-7, 15/07311-7, 18/03211-6)

DIAZ, GABRIEL, I; PALMERO, MATHEUS S.; CALDAS, IBERE LUIZ; LEONEL, EDSON D.. Diffusion entropy analysis in billiard systems. Physical Review E, v. 100, n. 4, p. 9-pg., 2019-10-07. (17/14414-2, 18/03211-6, 18/03000-5)

DE OLIVEIRA, VITOR M.; PALMERO, MATHEUS S.; CALDAS, IBERE L.. Measure, dimension, and complexity of the transient motion in Hamiltonian systems. PHYSICA D-NONLINEAR PHENOMENA, v. 431, p. 12-pg., 2022-03-01. (18/03211-6, 18/03000-5)

PALMERO, MATHEUS S.; DIAZ, I, GABRIEL; CALDAS, IBERE L.; SOKOLOV, IGOR M.. Sub-diffusive behavior in the Standard Map. European Physical Journal-Special Topics, v. 230, n. 14-15, p. 2765-2773, OCT 2021. (18/03000-5, 18/03211-6)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

SILVA, Matheus Palmero. Chaotic transport in symplectic maps: applications in plasma. 2023. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Física (IF/SBI) São Paulo.