Bridging the Dimensional Gap: from Kink in One Dimension to Curved Domain Wall in Three Dimensions

Abstract

Improved expansion in width is applied to a curved domain wall in nonrelativistic dissipative $\lambda ({\Phi }^2-v^2{)}^2$ model with real scalar order parameter $\Phi$. Approximate analytic description of such a domain wall to second order in the width is presented.

14 pages, Latex 2.09, no figures. Presented at XXXVIII Cracow School of Theoretical Physics, Zakopane, 1-10 June 1998