Reactive n-species Cahn–Hilliard system: A thermodynamically-consistent model for reversible chemical reactions

Reactive n-species Cahn–Hilliard system: A thermodynamically-consistent model for reversible chemical reactions

Clavijo, S. P., A. F. Sarmiento, L. F. R. Espath, Lisandro Dalcin, A. M. A. Cortes, and V. M. Calo. "Reactive n-species Cahn–Hilliard system: A thermodynamically-consistent model for reversible chemical reactions." Journal of Computational and Applied Mathematics 350 (2019): 143-154.​​​
Clavijo, S. P., A. F. Sarmiento, L. F. R. Espath, Lisandro Dalcin, A. M. A. Cortes, and V. M. Calo
Multicomponent Cahn–Hilliard, Chemical reactions, Isogeometric analysis, Spinodal decomposition
2019
We introduce a multicomponent Cahn–Hilliard system with multiple reversible chemical reactions. We derive the conservation laws of the multicomponent system within the thermodynamical constraints. Furthermore, we consider multiple chemical reactions based on the mass action law. This coupling reproduces phase separation under spinodal decomposition as a chemical reaction between the species takes place. Finally, we perform a numerical simulation to show the robustness of the model as well as the resulting patterns.​