180 citations · 1.3k across the 62 of their papers we have counts for
4 papers · 1 filter
Limiting Shapes of Ising Droplets, Ising Fingers, and Ising Solitons
P. L. Krapivsky
We examine the evolution of an Ising ferromagnet endowed with zero-temperature single spin-flip dynamics. A large droplet of one phase in the sea of the opposite phase eventually d…
Reaction-Diffusion Process Driven by a Localized Source: First Passage Properties
P. L. Krapivsky
We study a reaction-diffusion process that involves two species of atoms, immobile and diffusing. We assume that initially only immobile atoms, uniformly distributed throughout the…
On stochastic differential equations with random delay
P. L. Krapivsky, J. M. Luck, K. Mallick
We consider stochastic dynamical systems defined by differential equations with a uniform random time delay. The latter equations are shown to be equivalent to deterministic higher…
Dynamics of a quantum particle in low-dimensional disordered systems with extended states
P. L. Krapivsky, J. M. Luck
We investigate the dynamics of a quantum particle in disordered tight-binding models in one and two dimensions which are exceptions to the common wisdom on Anderson localization, i…