2010/12/14 by Mirko Maraldi, Maraldi, Mirko, Luisa Molari +3
Computer Science · Earth and Planetary Sciences · Materials Science · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Solidification and crystal growth phenomena #cond-mat.mtrl-sci #msc:35Q74 #msc:35Q80 #nanoparticles nucleation surface interactions
paper · pdf · doi:10.48550/arxiv.1012.2994
33 pages, 6 figures
arxiv created 2011/01/23 · arxiv updated 2015/03/17
A thermodynamically consistent framework able to model either diffusive and displacive phase transitions is proposed. The first law of thermodynamics, the balance of linear momentum equation and the Cahn-Hilliard equation for solute mass conservation are the governing equations of the model, which is complemented by a suitable choice of the Helmholtz free energy and consistent boundary and initial conditions.