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VOLUME 49 (1989) | ISSUE 9 | PAGE 489
Soliton diffusion coefficient
A soliton gas in systems which are nearly exactly integrable is characterized by two fundamentally different diffusion coefficients. The coefficient D * describes a process in which the coordinate of the soliton becomes stochastic against the background of a motion at a constant velocity. The coefficient D, in contrast, is related to the viscosity of the soliton, 77, by the Einstein relation. The value of this coefficient, in contrast with D *, is nonzero only in systems which have a disrupted integr ability. It is important to take both of these coefficients into account in describing experiments.