caa a22 4500 445391294 CHVBK 20180317143047.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1007/s10955-011-0277-9 doi (NATIONALLICENCE)springer-10.1007/s10955-011-0277-9 Time-Scales to Equipartition in the Fermi-Pasta-Ulam Problem: Finite-Size Effects and Thermodynamic Limit [Elektronische Daten] [G. Benettin, A. Ponno] We investigate numerically the common α+β and the pure β FPU models, as well as some higher order generalizations. We consider initial conditions in which only low-frequency normal modes are excited, and perform a very accurate systematic study of the equilibrium time as a function of the number N of particles, the specific energy ε, and the parameters α and β. While at any fixed N the equilibrium time is found to be a stretched exponential in 1/ε, in the thermodynamic limit, i.e. for N→∞ at fixed ε, we observe a crossover to a power law. Concerning the (usually disregarded) dependence of T eq on α and β, we find it is nontrivial, and propose and test a general law. A central role is played by the comparison of the FPU models with the Toda model. Springer Science+Business Media, LLC, 2011 Fermi-Pasta-Ulam nationallicence Equipartition time nationallicence Thermodynamic limit nationallicence Benettin G. Dipartimento di Matematica Pura e Applicata, Università di Padova, Via Trieste 63, 35131, Padova, Italy aut Ponno A. Dipartimento di Matematica Pura e Applicata, Università di Padova, Via Trieste 63, 35131, Padova, Italy aut Journal of Statistical Physics Springer US; http://www.springer-ny.com 144/4(2011-08-01), 793-812 0022-4715 144:4<793 2011 144 10955 https://doi.org/10.1007/s10955-011-0277-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-011-0277-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Benettin G. Dipartimento di Matematica Pura e Applicata, Università di Padova, Via Trieste 63, 35131, Padova, Italy aut NATIONALLICENCE 700 1- Ponno A. Dipartimento di Matematica Pura e Applicata, Università di Padova, Via Trieste 63, 35131, Padova, Italy aut NATIONALLICENCE 773 0- Journal of Statistical Physics Springer US; http://www.springer-ny.com 144/4(2011-08-01), 793-812 0022-4715 144:4<793 2011 144 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer