202 citations · 563 across the 4 of their papers we have counts for
4 papers
Spatial organization in cyclic Lotka-Volterra systems
L. Frachebourg, P. L. Krapivsky, E. Ben-Naim
We study the evolution of a system of interacting species which mimics the dynamics of a cyclic food chain. On a one-dimensional lattice with N<5 species, spatial inhomogeneiti…
Coarsening and persistence in the voter model
E. Ben-Naim, L. Frachebourg, P. L. Krapivsky
We investigate coarsening and persistence in the voter model by introducing the quantity , defined as the fraction of voters who changed their opinion n times up to time t.…
Exact Results for Kinetics of Catalytic Reactions
L. Frachebourg, P. L. Krapivsky
The kinetics of an irreversible catalytic reaction on substrate of arbitrary dimension is examined. In the limit of infinitesimal reaction rate (reaction-controlled limit), we solv…
Extremal Properties of Random Systems
L. Frachebourg, I. Ispolatov, P. L. Krapivsky
We find that the probability distribution for the largest intervals exhibits universal properties for different systems including random walk and random cutting models. In p…