Dynamical Phase Transitions in Chaotic Systems

Posing the problems.- A Hamiltonian and a mapping.- A phenomenological description for chaotic diffusion.- A semi phenomenological description for chaotic diffusion.- A solution for the diffusion equation.- Characterization of a continuous phase transition in an area preserving map.- Scaling invariance for chaotic diffusion in a dissipative standard mapping.- Characterization of a transition from limited to unlimited diffusion.- Billiards with moving boundary.- Suppression of Fermi acceleration in oval billiard.- Suppressing the unlimited energy gain: evidences of a phase transition.

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• Física da Matéria Condensada (física do estado sólido e estado líquido)
• Cibernética e teoria dos sistemas
• Cálculo e análise matemática

Scaling laws in nonlinear systems;Phase transition from limited to unlimited diffusion;Transition from integrability to non-integrability;Scaling invariance in chaotic diffusion;Chaotic Systems