1999/11/05 by Jacek Dziarmaga, Dziarmaga, Jacek, Mariusz Sadzikowski +1
Earth and Planetary Sciences · Materials Science · Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #Condensed Matter (cond-mat) #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Solidification and crystal growth phenomena #Theoretical and Computational Physics #adap-org #cond-mat #hep-ph #nanoparticles nucleation surface interactions #nlin.AO
paper · pdf · doi:10.48550/arxiv.cond-mat/9911085
4 pages, RevTex, 2 figures
arxiv created 1999/11/05 · openalex publication_date 1999/11/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Formation 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.