A dynamical phase transition for a family of Hamiltonian mappings: A phenomenological investigation to obtain the critical exponents

• Autor(a) principal: Leonel, Edson D. [UNESP]
• Data de Publicação: 2015
• Outros Autores: Penalva, Julia [UNESP], Teixeira, Rivânia M.N., Costa Filho, Raimundo N., Silva, Mário R. [UNESP], De Oliveira, Juliano A. [UNESP]
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://dx.doi.org/10.1016/j.physleta.2015.04.025; http://hdl.handle.net/11449/167839
• topic: Chaos; Critical exponents; Phase transition; Scaling law

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.