Role of non-topological solitons in statistical mechanics of 1D complex scalar fields with phase anisotropy

Abstract

Studies analytically 1D complex scalar fields with the phase anisotropy in the strong anisotropy region above the bifurcation point. The precise WKB formula for the three-well problem is applied to the pseudo-angular part of a set of 1D Schrodinger equations derived from the transfer-matrix eigenvalue equation. The authors find that non-topological solitons play the dominant role in the low-temperature statistical mechanics in the strong anisotropy region near the bifurcation point, in marked contrast to the recent results by Trullinger and DeLeonardis (1980). Generally, the correlation length is found to be proportional to 1/(tNT2+ tT2)1/2 with tNT and tT being tunnelling terms, arising respectively from non-topological and topological solitons.