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A second order phase transition characterized in the suppression of unlimited chaotic diffusion for a dissipative standard mapping

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Author(s):
Miranda, Lucas Kenji Arima ; Moratta, Raphael ; Kuwana, Celia Mayumi ; Yoshida, Makoto ; de Oliveira, Juliano Antonio ; Leonel, Edson Denis
Total Authors: 6
Document type: Journal article
Source: CHAOS SOLITONS & FRACTALS; v. 165, p. 4-pg., 2022-11-08.
Abstract

An order parameter is identified in a dissipative standard mapping during the transition from limited to unlimited chaotic diffusion. The suppression of the unlimited chaotic diffusion is proved due to the existence of a continuous phase transition. The average squared action is obtained, allowing the investigation of the main properties of the transition for long-time dynamics (stationary state). The main questions to characterize the order of this phase transition are: (i) what is the order parameter; (ii) what is the elementary excitation of the dynamics affecting the transport of particles in the system? (AU)

FAPESP's process: 20/10602-1 - A study of phase transition in chaotic system
Grantee:Lucas Kenji Arima Miranda
Support Opportunities: Scholarships in Brazil - Scientific Initiation
FAPESP's process: 18/14685-9 - Transport properties and bifurcation analysis in nonlinear dynamical systems
Grantee:Juliano Antonio de Oliveira
Support Opportunities: Regular Research Grants
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