Abstract
We have studied interactions between a soliton and phonons in trans-polyacetylene. It is found that effect nonlinear in interacting phonon amplitudes gives rise to a shift of the soliton location. When there is a soliton at rest, it was known the linearized equation of motion for optical phonons has four types of independent solutions, translation mode, other two localized modes, and propagating phonons. In the second order approximation, these modes interact. An incoming phonon produces a translation of the soliton, giving rise to its random walk. The magnitude of the translation is calculated as a function of phonon wave number. It is from four to six times as large as that of a φ 4 -soliton.
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