164 citations · 417 across the 5 of their papers we have counts for
5 papers
Adaptive mesh computation of polycrystalline pattern formation using a renormalization-group reduction of the phase-field crystal model
Badrinarayan P. Athreya, Nigel Goldenfeld, Jonathan A. Dantzig +2
We implement an adaptive mesh algorithm for calculating the space and time dependence of the atomic density field during materials processing. Our numerical approach uses the syste…
On the role of confinement on solidification in pure materials and binary alloys
Badrinarayan P. Athreya, Jonathan A. Dantzig, Shan Liu +1
We use a phase-field model to study the effect of confinement on dendritic growth, in a pure material solidifying in an undercooled melt, and in the directional solidification of a…
Renormalization group theory for the phase field crystal equation
Badrinarayan P. Athreya, Nigel Goldenfeld, Jonathan A. Dantzig
We derive a set of rotationally covariant amplitude equations for use in multiscale simulation of the two dimensional phase field crystal (PFC) model by a variety of renormalizatio…
Renormalization group approach to multiscale modelling in materials science
Nigel Goldenfeld, Badrinarayan P. Athreya, Jonathan A. Dantzig
Dendritic growth, and the formation of material microstructure in general, necessarily involves a wide range of length scales from the atomic up to sample dimensions. The phase fie…
Renormalization group approach to multiscale simulation of polycrystalline materials using the phase field crystal model
Nigel Goldenfeld, Badrinarayan P. Athreya, Jonathan A. Dantzig
We propose a computationally-efficient approach to multiscale simulation of polycrystalline materials, based on the phase field crystal (PFC) model. The order parameter describing…