203 citations · 3.5k across the 97 of their papers we have counts for
13 papers · 1 filter
Towards granular hydrodynamics in two-dimensions
E. L. Grossman, T. Zhou, E. Ben-Naim
We study steady-state properties of inelastic gases in two-dimensions in the presence of an energy source. We generalize previous hydrodynamic treatments to situations where high a…
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…
Two-Scale Annihilation
E. Ben-Naim, S. Redner, P. L. Krapivsky
The kinetics of single-species annihilation, , is investigated in which each particle has a fixed velocity which may be either with equal probability, and a finit…
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…
Individual Entanglements in a Simulated Polymer Melt
E. Ben-Naim, G. S. Grest, T. A. Witten +1
We examine entanglements using monomer contacts between pairs of chains in a Brownian-dynamics simulation of a polymer melt. A map of contact positions with respect to the contacti…
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…
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…
Scaling and Multiscaling in Models of Fragmentation
P. L. Krapivsky, E. Ben-Naim
We introduce a simple geometric model which describes the kinetics of fragmentation of d-dimensional objects. In one dimension our model coincides with the random scission model an…
Kinetics of Heterogeneous Single-Species Annihilation
P. L. Krapivsky, E. Ben-Naim, S. Redner
We investigate the kinetics of diffusion-controlled heterogeneous single-species annihilation, where the diffusivity of each particle may be different. The concentration of the spe…
Cluster Approximation for the Contact Process
E. Ben-Naim, P. L. Krapivsky
The one-dimensional contact process is analyzed by a cluster approximation. In this approach, the hierarchy of rate equations for the densities of finite length empty intervals are…
Kinetics of Clustering in Traffic Flows
E. Ben-Naim, P. L. Krapivsky, S. Redner
We study a simple aggregation model that mimics the clustering of traffic on a one-lane roadway. In this model, each ``car'' moves ballistically at its initial velocity until it ov…
Collectiive Properties of Adsorption-Desorption Processes
P. L. Krapivsky, E. Ben-Naim
A reversible adsorption-desorption parking process in one dimension is studied. An exact solution for the equilibrium properties is obtained. The coverage near saturation depends l…