Sine-Gordon solitons: Particles obeying relativistic dynamics

D. J. Bergman, E. Ben-Jacob, Y. Imry, K. Maki

Research output: Contribution to journalArticlepeer-review


We define a dynamical variable associated with the position of a particle representing the sine-Gordon soliton. Simple relativistic dynamic equations for this particle under the influence of forces are derived, including the case of dissipation. The fluctuation-dissipation theorem for this particle is obtained as well as some results on steady-state velocities and slowing of the thermalization time for ultrarelativistic solitions.

Original languageEnglish
Pages (from-to)3345-3348
Number of pages4
JournalPhysical Review A
Issue number6
StatePublished - 1983


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