| Автор | Carlo Alabiso |
| Автор | Mario Casartelli |
| Дата выпуска | 1997-10-21 |
| dc.description | We consider curvatures of all orders, as defined by the generalized Frenet - Serret formulae, along the trajectories of a classical Hamiltonian system with N degrees of freedom. In the spirit of previous experiments on the first two of them, time averages are numerically computed for the curvatures up to fifth order and for the microcanonical density in a typical anharmonic system (the FPU quartic chain), with checks in other models. Neat breakdowns of harmonic-like behaviour define thresholds to anharmonicity for every at distinct values of the order parameter (the energy density u). The threshold at fixed order i is independent of the total N, and it rapidly decreases as i grows. However, all curvatures are simultaneously sensitive or not to the initial conditions, for or respectively, confirming the previous identification of as an efficient indicator of the strong stochasticity transition. This phenomenology, which is discussed within the weak/strong stochasticity problem, gives a new insight into the progressive enforcement of a harmonic-like structure as u decreases. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | High-order curvatures and harmonicity regression |
| Тип | paper |
| DOI | 10.1088/0305-4470/30/20/008 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 30 |
| Первая страница | 7009 |
| Последняя страница | 7020 |
| Аффилиация | Carlo Alabiso; Dipartimento di Fisica dell'Università di Parma, 43100 Parma, Italy |
| Аффилиация | Mario Casartelli; Dipartimento di Fisica dell'Università di Parma, 43100 Parma, Italy |
| Выпуск | 20 |
