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Characterizing a transition from limited to unlimited diffusion in energy for a time-dependent stochastic billiard

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Author(s):
Silveira, Felipe Augusto O. ; da Fonseca, Anne Ketri P. ; Schmelcher, Peter ; Ladeira, Denis G. ; Leonel, Edson D.
Total Authors: 5
Document type: Journal article
Source: PHYSICAL REVIEW E; v. 108, n. 5, p. 7-pg., 2023-11-06.
Abstract

We explore Fermi acceleration in a stochastic oval billiard which shows unlimited to limited diffusion in energy when passing from the free to the dissipative case. We provide evidence for a transition from limited to unlimited energy growth taking place while detuning the corresponding restitution coefficient responsible for the degree of dissipation. A corresponding order parameter is suggested, and its susceptibility is shown to diverge at the critical point. We show that this order parameter is also be applicable to the periodically driven oval billiard and discuss the elementary excitation of the controlled diffusion process. (AU)

FAPESP's process: 20/07219-1 - Chaotic diffusion in time dependent billiards
Grantee:Anne Kétri Pasquinelli da Fonseca
Support Opportunities: Scholarships in Brazil - Scientific Initiation
FAPESP's process: 21/09519-5 - Characterization of phase transitions in nonlinear systems
Grantee:Edson Denis Leonel
Support Opportunities: Regular Research Grants
FAPESP's process: 19/14038-6 - Investigation of dynamical properties in nonlinear systems
Grantee:Edson Denis Leonel
Support Opportunities: Regular Research Grants