Recent Results on the Fermi-Pasta-Ulam Problem View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2005-07

AUTHORS

L. Galgani, A. Giorgilli

ABSTRACT

We revisit the celebrated model of Fermi, Pasta, and Ulam with the purpose of investigating the thresholds to equipartition in the thermodynamic limit. 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 into two separate subsystems. We conjecture the existence of a function εc(ω), independent of the number N of particles in the chain, such that if the initial energy E satisfies E/N < εc(ω), then only the packet of modes with frequency not exceeding ω shares most of the energy. Bibliography: 25 titles. More... »

PAGES

2761-2766

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10958-005-0227-7

DOI

http://dx.doi.org/10.1007/s10958-005-0227-7

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1024869374


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