Multiparticle breathers for a chain with double-quadratic on-site potential.
We investigate the existence and properties of multiparticle breathers for a one-dimensional model with harmonic nearest neighbor interactions where a group of r particles (r=1,2,3, ...) perform interwell oscillations between both wells of a double-quadratic on-site potential. We find two types of such breathers. For the first type the breather frequency Omega is within the single-particle oscillator spectrum, and the "residence" time of each breather particle in the left and right well is about the same. For the second breather Omega is below that spectrum, and the ratio tau(L)/tau(R) of the residence time in the left and right wells is different from zero, and takes approximately rational values like 1/4,1/3,2/3,3/4, etc. This second type of breather occurs for two and more breather particles only.
Neusüss
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S
Institut für Physik, Johannes Gutenberg-Universität Mainz, Staudinger Weg 7, 55099 Mainz, Germany.
Schilling
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R