Metastability phenomena in two-dimensional rectangular lattices with nearest-neighbour interaction
Articolo
Data di Pubblicazione:
2021
Citazione:
Metastability phenomena in two-dimensional rectangular lattices with nearest-neighbour interaction / M. Gallone, S. Pasquali. - In: NONLINEARITY. - ISSN 0951-7715. - 34:7(2021 Jul), pp. 4983-5044. [10.1088/1361-6544/ac0483]
Abstract:
We study analytically the dynamics of two-dimensional rectangular lattices with periodic boundary conditions. We consider anisotropic initial data supported on one low-frequency Fourier mode. We show that, in the continuous approximation, the resonant normal form of the system is given by integrable PDEs. We exploit the normal form result in order to prove the existence of metastability phenomena for the lattices. More precisely, we show that the energy spectrum of the normal modes attains a distribution in which the energy is shared among a packet of low-frequencies modes; such distribution remains unchanged up to the time-scale of validity of the continuous approximation.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Continuous approximation; Metastability; Energy Localization
Elenco autori:
M. Gallone, S. Pasquali
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