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Thermal diffusion of sine-Gordon solitons | | Niurka R. Quintero
; Angel Sanchez
; Franz G. Mertens
; | | Date: |
13 Mar 2000 | | Subject: | Statistical Mechanics; Classical Physics; Pattern Formation and Solitons | cond-mat.stat-mech nlin.PS physics.class-ph | | Affiliation: | GISC-Matematicas, Universidad Carlos III, Spain, Physikalisches Institut, Universitat Bayreuth, Germany | | 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 $sqrt{t}$ 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. | | Source: | arXiv, cond-mat/0003217 | | Services: | Forum | Review | PDF | Favorites | |
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