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Pattern formation and localization in the forced-damped FPU lattice | | Ramaz Khomeriki
; Stefano Lepri
; Stefano Ruffo
; | | Date: |
2 Jul 2001 | | Subject: | Pattern Formation and Solitons | nlin.PS cond-mat | | Abstract: | We study spatial pattern formation and energy localization in the dynamics of an anharmonic chain with quadratic and quartic intersite potential subject to an optical, sinusoidally oscillating field and a weak damping. The zone-boundary mode is stable and locked to the driving field below a critical forcing that we determine analytically using an approximate model which describes mode interactions. Above such a forcing, a standing modulated wave forms for driving frequencies below the band-edge, while a ``multibreather’’ state develops at higher frequencies. Of the former, we give an explicit approximate analytical expression which compares well with numerical data. At higher forcing space-time chaotic patterns are observed. | | Source: | arXiv, nlin.PS/0107002 | | Services: | Forum | Review | PDF | Favorites | |
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