Abstract
The interaction of solitons and magnons (linear modes) of the Sine-Gordon equation is studied. The phase shift of the magnon in presence of a soliton gives rise to a shift of the position of the soliton, if magnon wave packets are considered. This leads to a stochastic part of the soliton motion in a gas of thermally activated magnons yielding an effective velocity and a diffusion constant. The influence of this effect on the solitonic part of the correlation function is discussed and compared with the recent experiment by Steiner and Kjems.
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References
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Fesser, K. Stochastic motion of Sine-Gordon-solitons and the spin-correlation function of CsNiF3 . Z. Physik B - Condensed Matter 39, 47–52 (1980). https://doi.org/10.1007/BF01292637
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DOI: https://doi.org/10.1007/BF01292637