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

Lucas Kenji Arima Miranda, Raphael Moratta, Célia Mayumi Kuwana, Makoto Yoshida, Juliano Antonio de Oliveira and Edson Denis Leonel

Chaos, Solitons & Fractals, 2022, vol. 165, issue P2

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?

Keywords: Nonlinear dynamics; Noise; Non-equilibrium; Quantum processes (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:165:y:2022:i:p2:s0960077922010050

DOI: 10.1016/j.chaos.2022.112826

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