Year: 2021
Type: article
Abstract: We show interaction between high- and low-frequency modes in periodic α-FPU chains with alternating large masses. This high-low frequency interaction is known if the number of particles N is a 4-fold, our treatment discusses the difficult case where the number of particles N=2p involves p prime. A key role is played by identifying symmetric invariant manifolds, thus reducing the dimension of the problems drastically, and a Mathematica programme focused on these systems. We show explicitly high-low frequency interaction for systems with 2pn particles where 2≤p≤47 is prime and n is an arbitrary natural number. In addition we have strong arguments for interactions in arbitrary large chains.
Institution: Utrecht University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,900
OpenAlex ID: W3106319148