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Metastability pheno...
Metastability phenomena in two-dimensional rectangular lattices with nearest-neighbour interaction
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- Gallone, M. (författare)
- University of Milan
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- Pasquali, S. (författare)
- Lund University,Lunds universitet,Matematik (naturvetenskapliga fakulteten),Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Sciences),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
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(creator_code:org_t)
- 2021-06-25
- 2021
- Engelska 62 s.
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Ingår i: Nonlinearity. - : IOP Publishing. - 0951-7715 .- 1361-6544. ; 34:7, s. 4983-5044
- Relaterad länk:
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http://dx.doi.org/10... (free)
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https://arxiv.org/pd...
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Abstract
Ämnesord
Stäng
- 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 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.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- continuous approximation
- energy localization
- metastability
Publikations- och innehållstyp
- art (ämneskategori)
- ref (ämneskategori)
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