203 citations · 3.5k across the 97 of their papers we have counts for
5 papers · 2 filters
Alignment of Rods and Partition of Integers
E. Ben-Naim, P. L. Krapivsky
We study dynamical ordering of rods. In this process, rod alignment via pairwise interactions competes with diffusive wiggling. Under strong diffusion, the system is disordered, bu…
Polymerization with Freezing
E. Ben-Naim, P. L. Krapivsky
Irreversible aggregation processes involving reactive and frozen clusters are investigated using the rate equation approach. In aggregation events, two clusters join irreversibly t…
Dynamics of Social Diversity
E. Ben-Naim, S. Redner
We introduce and solve analytically a model for the development of disparate social classes in a competitive population. Individuals advance their fitness by competing against thos…
Kinetic Theory of Random Graphs
E. Ben-Naim, P. L. Krapivsky
Statistical properties of evolving random graphs are analyzed using kinetic theory. Treating the linking process dynamically, structural characteristics such as links, paths, cycle…
Percolation with Multiple Giant Clusters
E. Ben-Naim, P. L. Krapivsky
We study the evolution of percolation with freezing. Specifically, we consider cluster formation via two competing processes: irreversible aggregation and freezing. We find that wh…