| Full text | |
| Author(s): |
Leonel, Edson D.
[1, 2, 3]
;
Penalva, Julia
[1]
;
Teixeira, Rivania M. N.
[3]
;
Costa Filho, Raimundo N.
[3]
;
Silva, Mario R.
[4]
;
de Oliveira, Juliano A.
[5]
Total Authors: 6
|
| Affiliation: | [1] Univ Estadual Paulista, UNESP, Dept Fis, BR-13506900 Rio Claro, SP - Brazil
[2] Abdus Salam Int Ctr Theoret Phys, I-34151 Trieste - Italy
[3] Univ Fed Ceara, Dept Fis, Fortaleza, Ceara - Brazil
[4] Univ Estadual Paulista, UNESP, Dept Estatist Matemat Aplicada & Computacao, BR-13506900 Rio Claro, SP - Brazil
[5] Univ Estadual Paulista, UNESP, Sao Joao Da Boa Vista, SP - Brazil
Total Affiliations: 5
|
| Document type: | Journal article |
| Source: | Physics Letters A; v. 379, n. 32-33, p. 1808-1815, SEP 11 2015. |
| Web of Science Citations: | 4 |
| Abstract | |
A dynamical phase transition from integrability to non-integrability for a family of 2-D Hamiltonian mappings whose angle, theta, diverges in the limit of vanishingly action, I, is characterised. The mappings are described by two parameters: (i) epsilon, controlling the transition from integrable (epsilon = 0) to non-integrable (epsilon not equal 0); and (ii) gamma, 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 epsilon or n and obtain a scaling law for the three critical exponents. (C) 2015 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 12/23688-5 - Exponents and scaling laws, phase transitions and transport properties of time dependent systems |
| Grantee: | Edson Denis Leonel |
| Support Opportunities: | Regular Research Grants |