IALP   13078
INSTITUTO DE ASTROFISICA LA PLATA
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
Diffusion phenomena in multidimensional systems A possible bridge between two ?antagonist? theories?
Autor/es:
PABLO CINCOTTA; CHRISTOS EFTTYMIOPOULOS; CLAUDIA GIORDANO; MARTÍN MESTRE
Lugar:
Serra Negra (Sao Paulo)
Reunión:
Workshop; XVI Coloquio Brasileiro de Dinamica Orbital; 2012
Institución organizadora:
Universidade Federal do ABC
Resumen:
We present theoretical and numerical results pointing towards a strong connection between the estimates for the diffusion rate along simple resonances in multidimensional nonlinear Hamil- tonian systems that can be obtained using the heuristic theory of Chirikov and a more formal one due to Nekhoroshev. We show that, despite a wide-spread impression, the two theories are complementary rather than antagonist. In fact, we take advantage of this complementarity in order to obtain accurate theoretical predictions for the value of the diffusion coefficient along a resonance in a specific 3DoF nearly integrable Hamiltonian system. Besides, we compute numerically the diffusion coefficient and a full comparison of all estimates is made for ten values of the perturbation parameter, showing a very satisfactory agreement.