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

Leonel, Edson D. [UNESP]; Penalva, Julia [UNESP]; Teixeira, Rivânia M.N.; Costa Filho, Raimundo N.; Silva, Mário R. [UNESP]; De Oliveira, Juliano A. [UNESP]

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

Arquivos

2-s2.0-84930040945.pdf (1.64 MB)

Data

2015-05-31

Autores

Leonel, Edson D.

Penalva, Julia

Teixeira, Rivânia M.N.

Costa Filho, Raimundo N.

Silva, Mário R.

De Oliveira, Juliano A.

Tipo

Artigo

Direito de acesso

Acesso aberto

Resumo

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.