# Phase-field models in interfacial pattern formation out of equilibrium

@article{GonzlezCinca2003PhasefieldMI, title={Phase-field models in interfacial pattern formation out of equilibrium}, author={Ricard Gonz{\'a}lez-Cinca and Roger Caballero Folch and Raul Benitez and Laureano Ram{\'i}rez-Piscina and Jaume Casademunt and Aurora Hern{\'a}ndez-Machado}, journal={arXiv: Materials Science}, year={2003}, pages={203-236} }

The phase-field method is reviewed from the general perspective of converting a free boundary problem into a set of coupled partial differential equations. Its main advantage is that it avoids front tracking by using phase fields to locate the fronts. These fields interpolate between different constant values in each bulk phase through diffuse interfaces of finite thickness. In solidification, the phase fields can be understood as order parameters, and the model is often derived to dynamically…

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