57 citations · 205 across the 12 of their papers we have counts for
Showing 2013Show all
3 papers · 1 filter
cond-mat.stat-mech2013★ 4 cited
Crystal Growth Inside an Octant
Jason Olejarz, P. L. Krapivsky
We study crystal growth inside an infinite octant on a cubic lattice. The growth proceeds through the deposition of elementary cubes into inner corners. After re-scaling by the cha…
cond-mat.stat-mech2013★ 17 cited
Zero-Temperature Coarsening in the 2d Potts Model
J. Olejarz, P. L. Krapivsky, S. Redner
We study the fate of the 2d kinetic q-state Potts model after a sudden quench to zero temperature. Both ground states and complicated static states are reached with non-zero probab…
cond-mat.stat-mech2013★ 7 cited
Limiting Shapes in Two-Dimensional Ising Ferromagnets
P. L. Krapivsky, Jason Olejarz
We consider an Ising model on a square grid with ferromagnetic spin-spin interactions spanning beyond nearest neighbors. Starting from initial states with a single unbounded interf…