Dynamical Phase Transitions in Chaotic Systems
This book discusses some scaling properties and characterizes two-phase transitions for chaotic dynamics in nonlinear systems described by mappings. The chaotic dynamics is determined by the unpredictability of the time evolution of two very close initial conditions in the phase space. It yields in...
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| Autor Principal: | |
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| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | inglés |
| Publicado: |
Singapore :
Springer Nature Singapore : Imprint: Springer,
2023.
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| Edición: | 1st ed. 2023. |
| Series: | Nonlinear Physical Science,
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| Subjects: | |
| Acceso en liña: | https://doi.org/10.1007/978-981-99-2244-4 |
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Table of Contents:
- 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.