207 citations · 291 across the 3 of their papers we have counts for
3 papers
cond-mat.mtrl-sci2005★ 207 cited
Diffusive Atomistic Dynamics of Edge Dislocations in Two Dimensions
J. Berry, K. R. Elder, M. Grant
The fundamental dislocation processes of glide, climb, and annihilation are studied on diffusive time scales within the framework of a continuum field theory, the Phase Field Cryst…
cond-mat1995★ 21 cited
Scaling, Propagation, and Kinetic Roughening of Flame Fronts in Random Media
N. Provatas, T. Ala-Nissila, M. Grant +2
We introduce a model of two coupled reaction-diffusion equations to describe the dynamics and propagation of flame fronts in random media. The model incorporates heat diffusion, it…
cond-mat1992★ 63 cited
Dynamic scaling and quasi-ordered states in the two dimensional Swift-Hohenberg equation
K. R. Elder, Jorge Viñals, Martin Grant
The process of pattern formation in the two dimensional Swift-Hohenberg equation is examined through numerical and analytic methods. Dynamic scaling relationships are developed for…