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Evolution of randomly perturbed sine-Gordon kink

โœ Scribed by F.Kh. Abdullaev; A.A. Abdumalikov

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
518 KB
Volume
113
Category
Article
ISSN
0167-2789

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โœฆ Synopsis

The evolution of a randomly modulated kink in the sine-Gordon equation is investigated. The distribution function for the kink velocity is found using the inverse scattering transform. It is shown that the distribution function has a non-Gaussian form. The most probable and the mean value of the kink velocity are calculated. It is shown that the asymmetry of distribution function grows when velocity increases. The mean energy of emission random waves is found. The waves with wavelength of the same order with the correlation length are shown to be excited more effectively in the system.

๐Ÿ“œ SIMILAR VOLUMES

On life time and mobility of thermal sin
On life time and mobility of thermal sine-Gordon kinks
โœ W. Wonneberger ๐Ÿ“‚ Article ๐Ÿ“… 1981 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 292 KB

Nucleation theory for the underdamped sine-Gordon chain is used to attack the transport problem of thermal kinks. From a simple phenomenological pair generation recombination picture of kink-antikink equilibrium, life time and mobility of kinks are evaluated. The result is applied to the dc conducti