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Formation of topological objects during phase transitions has been discussedextensively in literature. In all these discussions defects and anti-defectsform with equal probabilities. In contrast, many physical situations, such asformation of baryons in relativistic heavy-ion collisions at present energies,flux tube formation in superconductors in the presence of external magneticfield, and formation of superfluid vortices in a rotating vessel, require amechanism which can bias (say) defects over anti-defects. Such a bias cancrucially affect defect-anti-defect correlations, apart from its effects ondefect density. In this paper we initiate an investigation for the basicmechanism of biased formation of defects. For Skyrmions in 1+1 dimensions, weshow that incorporation of a chemical potential term in the effective potentialleads to a domain structure where order parameter is spatially varying. We showthat this leads to biased formation of Skyrmions.Comment: 23 pages, 5 figures, RevTex, analytical calculations for two domain  case included, more detailed probability plots presente

SKYRMION FORMATION IN 1+1 DIMENSIONS WITH CHEMICAL POTENTIAL