203 citations · 3.5k across the 97 of their papers we have counts for
6 papers · 1 filter
On the Mixing of Diffusing Particles
E. Ben-Naim
We study how the order of N independent random walks in one dimension evolves with time. Our focus is statistical properties of the inversion number m, defined as the number of pai…
First-Passage Exponents of Multiple Random Walks
E. Ben-Naim, P. L. Krapivsky
We investigate first-passage statistics of an ensemble of N noninteracting random walks on a line. Starting from a configuration in which all particles are located in the positive…
Kinetics of First Passage in a Cone
E. Ben-Naim, P. L. Krapivsky
We study statistics of first passage inside a cone in arbitrary spatial dimension. The probability that a diffusing particle avoids the cone boundary decays algebraically with time…
First Passage Properties of the Polya Urn Process
Tibor Antal, E. Ben-Naim, P. L. Krapivsky
We study first passage statistics of the Polya urn model. In this random process, the urn contains two types of balls. In each step, one ball is drawn randomly from the urn, and su…
Random Ancestor Trees
E. Ben-Naim, P. L. Krapivsky
We investigate a network growth model in which the genealogy controls the evolution. In this model, a new node selects a random target node and links either to this target node, or…
Granular gases under extreme driving
W. Kang, J. Machta, E. Ben-Naim
We study inelastic gases in two dimensions using event-driven molecular dynamics simulations. Our focus is the nature of the stationary state attained by rare injection of large am…