Article
Nonequivalence of phonon modes in the sine-Gordon equation
Author/s | Quintero, Niurka R.
Kevrekidis, Panayotis G. |
Department | Universidad de Sevilla. Departamento de Física Aplicada I |
Publication Date | 2001 |
Deposit Date | 2015-04-08 |
Published in |
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Abstract | We study the resonances in the sine-Gordon equation driven by an ac force using a linear perturbation theory. We show that resonances take place when the driving frequency d is equal to half of the phonon modes’ frequencies ... We study the resonances in the sine-Gordon equation driven by an ac force using a linear perturbation theory. We show that resonances take place when the driving frequency d is equal to half of the phonon modes’ frequencies as has been shown numerically in our earlier work [ N. R. Quintero, A. Sanchez, and F. G. Mertens, Phys. Rev. E 62 , R60 ( 2000)] , however, we find that the ac force is able to excite not all the phonon modes, but rather only the odd phonons ( i.e., the ones with odd eigenfunctions) |
Funding agencies | Junta de Andalucía |
Project ID. | European grant LOCNET No. HPRN-CT-1999-00163 |
Citation | Quintero, N.R. y Kevrekidis, P.G. (2001). Nonequivalence of phonon modes in the sine-Gordon equation. Physical Review E, 64 (5), 056608-1-4. |
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