  We minimized the interface diffuseness in the phase-field models by
introducing the parabolic double-well potential and localizing the solute
redistribution (or latent heat release) into a narrow region within the
phase-field interface. In spite of the parabolic potential with cusps, highly
localized solute redistribution and discontinuous diffusivity function adopted
in this model, it works remarkably well in numerical computations. The
computations on dendritic solidification of an one-sided system yield
quantitatively the same results with the anti-trapping model [A. Karma, Phys.
Rev. Lett. 87, 115701 (2001)], indicating the anomalous interfacial effects can
be effectively suppressed. This approach can be easily extended to the
multi-components or multi-phases system.
