Mobility inference of the Cahn–Hilliard equation from a model experiment
Abstract
A challenge in phase field modeling of phaseseparating binary systems using the CahnHilliard equation (CHE) is the determination of the mobility coefficient, which controls the kinetics of order parameter evolution. This work presents numerical simulations to assess the feasibility of determining mobility in the CHE from a notional, model experiment. The qualitative behavior of these simulations differentiates between a mobility that is uniform throughout the system and one that is restricted only to phase interfaces. Moreover, quantitative analysis of the proposed model experiment permits inference of the product of mobility and the coefficient of the uniformfree energy term as well the characteristic length of the CHE. If the free energy coefficient is determined by other means (e.g., form thermodynamic or atomistic models), then the mobility may be calculated, as well.
 Publication:

Journal of Materials Research
 Pub Date:
 July 2021
 DOI:
 10.1557/s43578021002667
 Bibcode:
 2021JMatR..36.2830M
 Keywords:

 Mobility;
 CahnHilliard equation;
 Inference;
 Phase field modeling;
 Microstructure evolution