A second order phase transition characterized in the suppression of unlimited chaotic diffusion for a dissipative standard mapping
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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?
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Noise, Non-equilibrium, Nonlinear dynamics, Quantum processes
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English
Citation
Chaos, Solitons and Fractals, v. 165.
