{"title":"Study of Cahn-Hilliard Equation to Simulate Phase Separation","authors":"Nara Guimar\u00e3es, Marcelo Aquino Martorano, Douglas Gouv\u00eaa","volume":98,"journal":"International Journal of Materials and Metallurgical Engineering","pagesStart":325,"pagesEnd":330,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/10000644","abstract":"<p>An investigation into Cahn-Hilliard equation was<br \/>\r\ncarried out through numerical simulation to identify a possible phase<br \/>\r\nseparation for one and two dimensional domains. It was observed that<br \/>\r\nthis equation can reproduce important mass fluxes necessary for<br \/>\r\nphase separation within the miscibility gap and for coalescence of<br \/>\r\nparticles.<\/p>\r\n","references":"[1]\tCahn, J. W., & Hilliard, J. E. (1958). Free Energy of a Nonuniform System. I. Interfacial Free Energy. The Journal of Chemical Physics, 28(2), 258. doi:10.1063\/1.1744102\r\n[2]\tDe Mello, E. V. L., &Filho, O. T. D. S. (2004). Numerical Study of the Cahn-Hilliard Equation in One, Two and Three Dimensions, 20. Statistical Mechanics; Superconductivity. doi:10.1016\/j.physa.2004.08.076\r\n[3]\t Bray, a. J. (1994). Theory of phase-ordering kinetics. Advances in Physics, 43(3), 357\u2013459. doi:10.1080\/00018739400101505\r\n[4]\tJing, X. N., Zhao, J. H., & He, L. H. (2003). 2D aggregate evolution in sintering due to multiple diffusion approaches. Materials Chemistry and Physics, 80(3), 595\u2013598. doi:10.1016\/S0254-0584(03)00102-0\r\n[5]\tCueto-Felgueroso, L., &Peraire, J. (2008). A time-adaptive finite volume method for the Cahn\u2013Hilliard and Kuramoto\u2013Sivashinsky equations. Journal of Computational Physics, 227(24), 9985\u201310017. doi:10.1016\/j.jcp.2008.07.024\r\n[6]\tPorter, D. A., &Easterling, K. E. (1992). Phase Transformation in metals and alloys. (C. & Hall, Ed.) (2nd ed., p. 440).\r\n[7]\tBaghsheikhi, S. (2009). Spinodal decomposition in the binary Fe-Cr system. Royal Institute of Technology - Stockholm - Sweden.\r\n","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 98, 2015"}