203 citations · 3.5k across the 97 of their papers we have counts for
6 papers · 1 filter
Bifurcations and Patterns in Compromise Processes
E. Ben-Naim, P. L. Krapivsky, S. Redner
We study an opinion dynamics model in which agents reach compromise via pairwise interactions. When the opinions of two agents are sufficiently close, they both acquire the average…
Dynamics of Freely Cooling Granular Gases
Xiaobo Nie, Eli Ben-Naim, Shiyi Chen
We study dynamics of freely cooling granular gases in two-dimensions using large-scale molecular dynamics simulations. We find that for dilute systems the typical kinetic energy de…
Growth and Structure of Stochastic Sequences
E. Ben-Naim, P. L. Krapivsky
We introduce a class of stochastic integer sequences. In these sequences, every element is a sum of two previous elements, at least one of which is chosen randomly. The interplay b…
Kinetic Theory of Traffic Flows
E. Ben-Naim, P. L. Krapivsky
We describe traffic flows in one lane roadways using kinetic theory, with special emphasis on the role of quenched randomness in the velocity distributions. When passing is forbidd…
Impurity in a Granular Fluid
E. Ben-Naim, P. L. Krapivsky
We investigate velocity statistics of an impurity immersed in a uniform granular fluid. An analytic solution of the inelastic Maxwell model shows that a phase transition occurs in…
Scaling, Multiscaling, and Nontrivial Exponents in Inelastic Collision Processes
E. Ben-Naim, P. L. Krapivsky
We investigate velocity statistics of homogeneous inelastic gases using the Boltzmann equation. Employing an approximate uniform collision rate, we obtain analytic results valid in…