138 citations · 1.1k across the 30 of their papers we have counts for
6 papers · 2 filters
Finite Size Fluctuations in Interacting Particle Systems
E. Ben-Naim, P. L. Krapivsky
Fluctuations may govern the fate of an interacting particle system even on the mean-field level. This is demonstrated via a three species cyclic trapping reaction with a large, yet…
Self-Similarity in Random Collision Processes
Daniel ben-Avraham, Eli Ben-Naim, Katja Lindenberg +1
Kinetics of collision processes with linear mixing rules are investigated analytically. The velocity distribution becomes self-similar in the long time limit and the similarity fun…
Leadership Statistics in Random Structures
E. Ben-Naim, P. L. Krapivsky
The largest component (``the leader'') in evolving random structures often exhibits universal statistical properties. This phenomenon is demonstrated analytically for two ubiquitou…
Exchange Driven Growth
E. Ben-Naim, P. L. Krapivsky
We study a class of growth processes in which clusters evolve via exchange of particles. We show that depending on the rate of exchange there are three possibilities: I) Growth: Cl…
Shattering Transitions in Collision-Induced Fragmentation
P. L. Krapivsky, E. Ben-Naim
We investigate the kinetics of nonlinear collision-induced fragmentation. We obtain the fragment mass distribution analytically by utilizing its travelling wave behavior. The syste…
The Inelastic Maxwell Model
E. Ben-Naim, P. L. Krapivsky
Dynamics of inelastic gases are studied within the framework of random collision processes. The corresponding Boltzmann equation with uniform collision rates is solved analytically…