67 citations · 119 across the 5 of their papers we have counts for
6 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 \…
Nonlinear Elasticity of the Phase Field Crystal Model from the Renormalization Group
Pak Yuen Chan, Nigel Goldenfeld
The rotationally-covariant renormalization group equations of motion for the density wave amplitudes in the phase field crystal model are shown to follow from a dynamical equation…
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…
Steady states and linear stability analysis of precipitation pattern formation at geothermal hot springs
Pak Yuen Chan, Nigel Goldenfeld
A dynamical theory of geophysical precipitation pattern formation is presented and applied to irreversible calcium carbonate (travertine) deposition. Specific systems studied here…
Critical behavior of Griffiths ferromagnets
Pak Yuen Chan, Nigel Goldenfeld, Myron Salamon
From a heuristic calculation of the leading order essential singularity in the distribution of Yang-Lee zeroes, we obtain new scaling relations near the ferromagnetic-Griffiths tra…
Dynamics of precipitation pattern formation at geothermal hot springs
Nigel Goldenfeld, Pak Yuen Chan, John Veysey
We formulate and model the dynamics of spatial patterns arising during the precipitation of calcium carbonate from a supersaturated shallow water flow. The model describes the form…