A dynamical phase transition for a family of Hamiltonian mappings: A phenomenological investigation to obtain the critical exponents
Abstract A dynamical phase transition from integrability to non-integrability for a family of 2-D Hamiltonian mappings whose angle, θ, diverges in the limit of vanishingly action, I, is characterised. The mappings are described by two parameters: (i) Ïμ, controlling the transition from integrable (Ï...
| Autores: | , , , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2015 |
| País: | Brasil |
| Institución: | Universidade Estadual Paulista (UNESP) |
| Repositorio: | Repositório Institucional da UNESP |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unesp.br:11449/167839 |
| Acceso en línea: | http://dx.doi.org/10.1016/j.physleta.2015.04.025 http://hdl.handle.net/11449/167839 |
| Access Level: | acceso abierto |
| Palabra clave: | Chaos Critical exponents Phase transition Scaling law |
| Sumario: | Abstract A dynamical phase transition from integrability to non-integrability for a family of 2-D Hamiltonian mappings whose angle, θ, diverges in the limit of vanishingly action, I, is characterised. The mappings are described by two parameters: (i) Ïμ, controlling the transition from integrable (Ïμ=0) to non-integrable (Ïμ≠0); and (ii) γ, denoting the power of the action in the equation which defines the angle. We prove the average action is scaling invariant with respect to either Ïμ or n and obtain a scaling law for the three critical exponents. |
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