Abstract
Standard methods of stochastic processes are used to study the coupling of the sine-Gordon system with a heat reservoir. As a result we find thermal phonons with an average energy of per mode. The translational mode (zero mode) is found to carry an average energy of . This last value is just the energy in the Brownian motion of a thermal soliton. These results are in agreement with those obtained by the use of a statistical-mechanical description of a dilute soliton gas. Connection of the above results with Josephson junctions and the extension of the analysis to more general equations is also discussed.
- Received 23 September 1983
DOI:https://doi.org/10.1103/PhysRevB.30.2635
©1984 American Physical Society