Abstract

Investigation of a great number of physical systems shows that a scaled Landau free energy density of the form describes a first-order phase transition. To study the formation of static domain walls in these systems we include a spatial gradient (Ginzburg) term of the scalar order parameter . At the transition temperature (Tc) the potential has three degenerate minima corresponding to an asymmetric domain wall (i.e. a half-kink solution). We have obtained the associated kink lattice solution, its energy of formation and asymptotic kink--kink interaction. In addition, we report a `pulse' lattice solution below Tc.

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