Diffusion of Classical Solitons
arXiv:cond-mat/9802039 · doi:10.1016/S0375-9601(98)00861-5
Abstract
We study the diffusion and deformation of classical solitons coupled to thermal noise. The diffusion coefficient for kinks in the $Ï^4$ theory is predicted up to the second order in $kT$. The prediction is verified by numerical simulations. Multiskyrmions in the vector O(3) sigma model are studied within the same formalism. Thermal noise results in a diffusion on the multisoliton collective coordinate space (moduli space). There are entropic forces which tend, for example, to bind pairs of solitons into bi-solitonic molecules.
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