Dissipative Standard Mapping: An Analytical Description of Diffusion and Suppression of Unlimited Diffusion
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Springer Nature
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Scaling invariance is a clear indication a system undergoes a phase transition. A phase transition from limited to unlimited diffusion is discussed in a dissipative standard mapping. To characterize this transition, we solved the diffusion equation, finding the probability density to observe a given particle with a specific action/energy at a given instant of time. Moreover, we identified (i) the order parameter and (ii) the elementary excitation that affects the transport of particles in the system.
