Diffusion of Classical Solitons

Details Diffusion of Classical Solitons Diffusion of Classical Solitons

1998-02-03

arxiv.org/abs/cond-mat/9802039v1

Phys.Lett. A251 (1999) 193-198

Physics

Condensed Matter

5 Revtex pages, 2 .ps files

Scientific paper

10.1016/S0375-9601(98)00861-5

We study the diffusion and deformation of classical solitons coupled to thermal noise. The diffusion coefficient for kinks in the $\phi^4$ 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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