890 citations · 8.4k across the 209 of their papers we have counts for
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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.…
Space covering by growing rays
P. L. Krapivsky, E. Ben-Naim
We study kinetic and jamming properties of a space covering process in one dimension. The stochastic process is defined as follows: Seeds are nucleated randomly in space and produc…
Borderline Aggregation Kinetics in ``Dry'' and ``Wet'' Environments
Paul. L. Krapivsky, Sidney Redner
We investigate the kinetics of constant-kernel aggregation which is augmented by either: (a) evaporation of monomers from finite-mass clusters, or (b) continuous cluster growth --…
Kinetics of Aggregation-Annihilation Processes
E. Ben-Naim, P. L. Krapivsky
We investigate the kinetics of many-species systems with aggregation of similar species clusters and annihilation of opposite species clusters. We find that the interplay between a…
Heterogeneous Catalysis on a Disordered Surface
L. Frachebourg, P. L. Krapivsky, S. Redner
We introduce a simple model of heterogeneous catalysis on a disordered surface which consists of two types of randomly distributed sites with different adsorption rates. Disorder c…
Aggregation with Multiple Conservation Laws
P. L. Krapivsky, E. Ben-Naim
Aggregation processes with an arbitrary number of conserved quantities are investigated. On the mean-field level, an exact solution for the size distribution is obtained. The asymp…