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Investigation of transport and diffusion properties of particles using escape formalism for time-dependent systems

Grant number: 14/25316-3
Support Opportunities:Scholarships in Brazil - Post-Doctoral
Start date: July 01, 2015
End date: December 31, 2018
Field of knowledge:Physical Sciences and Mathematics - Physics - General Physics
Agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
Principal Investigator:Edson Denis Leonel
Grantee:André Luís Prando Livorati
Host Institution: Instituto de Geociências e Ciências Exatas (IGCE). Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Rio Claro , SP, Brazil
Associated scholarship(s):15/26699-6 - Investigation of anomalous transport and diffusion for time-dependent dynamical systems, BE.EP.PD

Abstract

In this project we intent to study transport and diffusion properties for time-dependent Hamiltonian systems, considering the escape formalism through holes. The hole is defined as a delimited region in the phase space. Also, the hole may have position and size varying with the time. Investigating transport properties, like survival probability curves and considering the escape formalism, we may find analytical expressions that can estimate the behaviour of the escape rate for one-dimensional simple systems. We intend to expand this formalism for more complex dynamics, like Hamiltonian systems with mixed phase space, and verify how anomalous transport and diffusion can affect the dynamics and the escape properties. (AU)

News published in Agência FAPESP Newsletter about the scholarship:
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Scientific publications (11)
(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 L. P.; KROETZ, TIAGO; DETTMANN, CARL P.; CALDAS, IBERE L.; LEONEL, EDSON D.. Transition from normal to ballistic diffusion in a one-dimensional impact system. Physical Review E, v. 97, n. 3, . (17/14414-2, 15/26699-6, 14/25316-3)
PALMERO, MATHEUS S.; LIVORATI, ANDRE L. P.; CALDAS, IBERE L.; LEONEL, EDSON D.. Ensemble separation and stickiness influence in a driven stadium-like billiard: A Lyapunov exponents analysis. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 65, p. 248-259, . (17/14414-2, 14/25316-3, 12/23688-5, 12/00556-6, 15/26699-6, 11/19296-1)
LIVORATI, ANDRE L. P.; CALDAS, IBERE L.; DETTMANN, CARL P.; LEONEL, EDSON D.. Crises in a dissipative bouncing ball model. Physics Letters A, v. 379, n. 43-44, p. 2830-2838, . (12/23688-5, 14/25316-3, 11/19296-1)
MENDEZ-BERMUDEZ, J. A.; MARTINEZ-MENDOZA, A. J.; LIVORATI, ANDRE L. P.; LEONEL, EDSON D.. Leaking of trajectories from the phase space of discontinuous dynamics. Journal of Physics A-Mathematical and Theoretical, v. 48, n. 40, . (14/25997-0, 13/14655-9, 12/23688-5, 14/25316-3)
LIVORATI, ANDRE L. P.; KROETZ, TIAGO; DETTMANN, CARL P.; CALDAS, IBERE L.; LEONEL, EDSON D.. Transition from normal to ballistic diffusion in a one-dimensional impact system. PHYSICAL REVIEW E, v. 97, n. 3, p. 9-pg., . (17/14414-2, 14/25316-3, 15/26699-6)
KROETZ, TIAGO; LIVORATI, ANDRE L. P.; LEONEL, EDSON D.; CALDAS, IBERE L.. Global ballistic acceleration in a bouncing-ball model. Physical Review E, v. 92, n. 1, p. 11-pg., . (11/19296-1, 12/23688-5, 14/25316-3)
KROETZ, TIAGO; LIVORATI, ANDRE L. P.; LEONEL, EDSON D.; CALDAS, IBERE L.. Global ballistic acceleration in a bouncing-ball model. Physical Review E, v. 92, n. 1, . (12/23688-5, 14/25316-3, 11/19296-1)
DIAZ, I, GABRIEL; LIVORATI, ANDRE L. P.; LEONEL, EDSON D.. Statistical investigation and thermal properties for a 1-D impact system with dissipation. Physics Letters A, v. 380, n. 21, p. 1830-1838, . (12/23688-5, 14/25316-3)
LIVORATI, ANDRE L. P.. Dynamics and scaling properties for a one-dimensional impact system with two periodically vibrating walls. Physics Letters A, v. 381, n. 28, p. 2214-2221, . (15/26699-6, 14/25316-3)
LIVORATI, ANDRE L. P.; DETTMANN, CARL P.; CALDAS, IBERE L.; LEONEL, EDSON D.. On the statistical and transport properties of a non-dissipative Fermi-Ulam model. Chaos, v. 25, n. 10, . (12/23688-5, 14/25316-3, 11/19296-1)
LIVORATI, ANDRE L. P.; PALMERO, MATHEUS S.; DIAZ-, I, GABRIEL; DETTMANN, CARL P.; CALDAS, IBERE L.; LEONEL, EDSON D.. Investigation of stickiness influence in the anomalous transport and diffusion for a non-dissipative Fermi-Ulam model. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 55, p. 225-236, . (14/25316-3, 12/23688-5, 15/26699-6, 14/27260-5)