Titlebook: Dynamical Phase Transitions in Chaotic Systems; Edson Denis Leonel Book 2023 Higher Education Press Limited Company 2023 Scaling laws in n

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1867-8440 f Fermi acceleration in time-dependent billiards.. . This book allows the readers to understand some of the applicability of scaling theory to phase transitions and other critical dynamics commonly observed in 978-981-99-2246-8978-981-99-2244-4Series ISSN 1867-8440 Series E-ISSN 1867-8459

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A Hamiltonian and a Mapping,choices made with the functions lead to describing different systems. Imposing the determinant of the Jacobian matrix equal to unity leads to area preservation. Chaotic diffusion is considered via different techniques leading to a scaling invariance.

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Characterization of a Continuous Phase Transition in an Area-Preserving Map,r, and area-preserving mapping. A parameter . controls the transition and is closely related to the order parameter. The average squared action along the chaotic sea presents a scaling invariance concerning the control parameter. This property is a characteristic of a continuous phase transition. Th

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Characterization of a Transition from Limited to Unlimited Diffusion,amics and has two control parameters. One controls the intensity of the nonlinearity, while the other controls the dissipation. The parameter responsible for the transition is the dissipation, while the parameter driving the nonlinearity gives the elementary excitation of the dynamics. An order para

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