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Diffusion of Classical Solitons

J. Dziarmaga·W. Zakrzewski
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Abstract

We study the diffusion and deformation of classical solitons coupled to thermal noise. The diffusion coefficient for kinks in the $ϕ^4$ 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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J. Dziarmaga, W. Zakrzewski. 1998-02-03. Diffusion of Classical Solitons. https://doi.org/10.1016/s0375-9601(98)00861-5

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