Study of modulational instability in the FPU model We present a detailed analysis of the modulational instability of the zone-boundary mode for one and higher-dimensional Fermi-Pasta-Ulam (FPU) lattices. Following this instability, a process of relaxation to equipartition takes place, which we have called the Anti-FPU problem because the energy is initially fed into the highest frequency part of the spectrum, at variance with the original FPU problem (low frequency excitations of the lattice). This process leads to the formation of chaotic breathers in both one and two dimensions. Finally, the system relaxes to energy equipartition on time scales which increase as the energy density is decreased. We show that breathers formed when cooling the lattice at the edges, starting from a random initial state, bear strong qualitative similarities with chaotic breathers

The Anti-FPU problem / DAUXOIS T.; KHOMERIKI R.; PIAZZA F.; S. RUFFO. - In: CHAOS. - ISSN 1054-1500. - STAMPA. - 15:(2005), pp. 1-17. [10.1063/1.1854273]

The Anti-FPU problem

PIAZZA F.;
2005

Abstract

Study of modulational instability in the FPU model We present a detailed analysis of the modulational instability of the zone-boundary mode for one and higher-dimensional Fermi-Pasta-Ulam (FPU) lattices. Following this instability, a process of relaxation to equipartition takes place, which we have called the Anti-FPU problem because the energy is initially fed into the highest frequency part of the spectrum, at variance with the original FPU problem (low frequency excitations of the lattice). This process leads to the formation of chaotic breathers in both one and two dimensions. Finally, the system relaxes to energy equipartition on time scales which increase as the energy density is decreased. We show that breathers formed when cooling the lattice at the edges, starting from a random initial state, bear strong qualitative similarities with chaotic breathers
2005
15
1
17
Goal 9: Industry, Innovation, and Infrastructure
DAUXOIS T.; KHOMERIKI R.; PIAZZA F.; S. RUFFO
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/221190
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