2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/29893Formation of domain walls during a rapid phase transition in a quasi one dimensional Cahn-Hiliard equation describing binary fluids in a thin tube is studied. Density of kinks scales like a sixth root of quench rate for equal concentrations and like a square root of quench rate for unequal concentrations of fluids. For a slow inhomogeneous transition the density is linear in velocity of temperature front. This paper is first theoretical study of topological defects formation in a system with conserved order parameter.4 pages, RevTex, 2 figuresCondensed MatterAdaptation and Self-Organizing SystemsHigh Energy Physics - Phenomenologytext