Sine-Gordon solitons: Particles obeying relativistic dynamics

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

doi:10.1103/PhysRevA.27.3345

Sine-Gordon solitons: Particles obeying relativistic dynamics

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

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Pages (from-to)	3345-3348
Number of pages	4
Journal	Physical Review A
Volume	27
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevA.27.3345
State	Published - 1983

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10.1103/PhysRevA.27.3345

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title = "Sine-Gordon solitons: Particles obeying relativistic dynamics",

abstract = "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.",

author = "Bergman, {D. J.} and E. Ben-Jacob and Y. Imry and K. Maki",

year = "1983",

doi = "10.1103/PhysRevA.27.3345",

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AU - Ben-Jacob, E.

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AU - Maki, K.

PY - 1983

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AB - 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.

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Sine-Gordon solitons: Particles obeying relativistic dynamics

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