314 citations · 678 across the 14 of their papers we have counts for
4 papers · 1 filter
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…