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Thermal diffusion of sine-Gordon solitons |
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| Authors: | NR Quintero A Sánchez FG Mertens |
| Institution: | 1.Grupo Interdisciplinar de Sistemas Complicados (GISC), Departamento de Matemáticas, Universidad Carlos III de Madrid, Edificio Sabatini, Avenida de la Universidad 30, 28911 Leganés, Madrid, Spain,ES;2.Physikalisches Institut, Universit?t Bayreuth, 95440 Bayreuth, Germany,DE |
| Abstract: | We analyze the diffusive motion of kink solitons governed by the thermal sine-Gordon equation. We analytically calculate the correlation function of the position of the kink center as well as the diffusion coefficient, both up to second-order in temperature. We find that the kink behavior is very similar to that obtained in the overdamped limit: There is a quadratic dependence on temperature in the diffusion coefficient that comes from the interaction among the kink and phonons, and the average value of the wave function increases with due to the variance of the centers of individual realizations and not due to kink distortions. These analytical results are fully confirmed by numerical simulations. Received 4 October 1999 and Received in final form 3 February 2000 |
| Keywords: | PACS 05 40 -a Fluctuation phenomena random processes noise and Brownian motion - 05 45 -a Nonlinear dynamics and nonlinear dynamical systems - 74 50 +r Proximity effects weak links tunneling phenomena and Josephson effects - 85 25 Cp Josephson devices |
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