313 citations · 1.6k across the 14 of their papers we have counts for
15 papers
Plasticity and Dislocation Dynamics in a Phase Field Crystal Model
Pak Yuen Chan, Georgios Tsekenis, Jonathan Dantzig +2
The critical dynamics of dislocation avalanches in plastic flow is examined using a phase field crystal (PFC) model. In the model, dislocations are naturally created, without any \…
Emergence of foams from the breakdown of the phase field crystal model
Nicholas Guttenberg, Nigel Goldenfeld, Jonathan Dantzig
The phase field crystal (PFC) model captures the elastic and topological properties of crystals with a single scalar field at small undercooling. At large undercooling, new foam-li…
A mesoscale granular model for the mechanical behavior of alloys during solidification
Stéphane Vernède, Jonathan A. Dantzig, Michel Rappaz
We present a two-dimensional granular model for the mechanical behavior of an ensemble of globular grains, during solidification. The grain structure is produced by a Voronoi tesse…
Molecular Dynamics on Diffusive Time Scales from the Phase Field Crystal Equation
Pak Yuen Chan, Nigel Goldenfeld, Jon Dantzig
We extend the phase field crystal model to accommodate exact atomic configurations and vacancies by requiring the order parameter to be non-negative. The resulting theory dictates…
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…