55 citations · 84 across the 5 of their papers we have counts for
5 papers
Gamma Convergence for the de Gennes-Cahn-Hilliard energy
Shibin Dai, Joseph Renzi, Steven M. Wise
The degenerate de Gennes-Cahn-Hilliard (dGCH) equation is a model for phase separation which may more closely approximate surface diffusion than others in the limit when the thickn…
Short-range order and its impacts on the BCC NbMoTaW multi-principal element alloy by the machine-learning potential
Pedro A. Santos-Florez, Shi-Cheng Dai, Yi Yao +5
We employ a machine-learning force field, trained by a neural network (NN) with bispectrum coefficients as descriptors, to investigate the short-range order (SRO) influences on the…
On nonnegative solutions for the Functionalized Cahn-Hilliard equation with degenerate mobility
Shibin Dai, Qiang Liu, Toai Luong +1
The Functionalized Cahn-Hilliard equation has been proposed as a model for the interfacial energy of phase-separated mixtures of amphiphilic molecules. We study the existence of a…
Codimension One Minimizers of Highly Amphiphilic Mixtures
Shibin Dai, Keith Promislow
We present a modified form of the Functionalized Cahn Hilliard (FCH) functional which models highly amphiphilic systems in solvent. A molecule is highly amphiphilic if the energy o…
Convergence of Phase-Field Free Energy and Boundary Force for Molecular Solvation
Shibin Dai, Bo Li, Jianfeng Lu
We study a phase-field variational model for the solvaiton of charged molecules with an implicit solvent. The solvation free-energy functional of all phase fields consists of the s…