|
Zapiski Nauchnykh Seminarov POMI, 2003, Volume 300, Pages 145–154
(Mi znsl990)
|
|
|
|
Recent results on the Fermi–Pasta–Ulam problem
L. Galgania, A. Giorgillib a Dipartimento di Matematica, Università degli Studi
b Universita di Milano-Bicocca, Dipartimento di Matematica ed Applicazioni
Abstract:
The celebrated model of Fermi, Pasta, and Ulam with the aim of investigating the thresholds to equipartition in the thermodynamic limit is revisited. Starting with a particular class of initial conditions, i.e., with all the energy on the first mode, we observe that in a short time the system splits in two separate subsystems. We conjecture the existence of a function $\epsilon_c(\omega)$, independent on the number $N$ of particles in the chain, such that if the initial energy $E$ satisfies $E/N<\epsilon_c(\omega)$ then only the packet of modes with frequency not exceeding $\omega$ shares most of the energy.
Received: 30.11.2002
Citation:
L. Galgani, A. Giorgilli, “Recent results on the Fermi–Pasta–Ulam problem”, Representation theory, dynamical systems. Part VIII, Special issue, Zap. Nauchn. Sem. POMI, 300, POMI, St. Petersburg, 2003, 145–154; J. Math. Sci. (N. Y.), 128:2 (2005), 2761–2766
Linking options:
https://www.mathnet.ru/eng/znsl990 https://www.mathnet.ru/eng/znsl/v300/p145
|
Statistics & downloads: |
Abstract page: | 216 | Full-text PDF : | 49 | References: | 42 |
|