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

Author

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

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?

Suggested Citation

  • Miranda, Lucas Kenji Arima & Moratta, Raphael & Kuwana, Célia Mayumi & Yoshida, Makoto & de Oliveira, Juliano Antonio & Leonel, Edson Denis, 2022. "A second order phase transition characterized in the suppression of unlimited chaotic diffusion for a dissipative standard mapping," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    • Handle: RePEc:eee:chsofr:v:165:y:2022:i:p2:s0960077922010050
    DOI: 10.1016/j.chaos.2022.112826
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