Localized Mode Oscillations of Clustered Impurities Excited by a Soliton in the Toda Lattice

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  • Localized Mode Oscillations of Clustere

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The collision of a soliton with a cluster of mass impurities is studied by computer simulation. The mass ratio dependence of the energy of the localized mode is investigated form the clusters of 2∼5 impurities. The amplitude of the incident soliton is taken A=2 (force fn=A \sech2n−\sqrtAt)). All frequencies of the oscillation modes that are dominantly excited fall in the range ω=2.1∼2.3, which is just above the cutoff frequency (ωc=2.0). The saturation of the energy of the localized mode is observed at the considerably small cluster size. The property of the localized modes is also discussed theoretically in harmonic limit.

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