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.
- Publication:
-
Physical Review A
- Pub Date:
- June 1983
- DOI:
- 10.1103/PhysRevA.27.3345
- Bibcode:
- 1983PhRvA..27.3345B
- Keywords:
-
- Particle Theory;
- Relativistic Particles;
- Solitary Waves;
- Dissipation;
- Perturbation Theory;
- Relativistic Velocity;
- Physics (General)