Heriot-Watt Mathematics Report Series
HWM98-3, 5 Feb 1998

A breather-like localised mode in a FPU lattice interacting with an electron

Y Zolotaryuk and J.C. Eilbeck


Abstract

A theoretical study in the framework of a variational approach is presented for the Fermi-Pasta-Ulam (FPU) chain interacting with an extra electron. Standing three-component soliton solutions which describe coupled states of an acoustic polaron with longitudinal lattice vibrations are found. This result is confirmed by numerical simulations and extended qualitatively to a chain with a realistic inter-particle potential of a general form.

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Full text: www.ma.hw.ac.uk/~chris/FPUbreathers.tex


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