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Ballistic Annihilation Kinetics: The Case of Discrete Velocity Distributions
P. L. Krapivsky, S. Redner, F. Leyvraz
The kinetics of the annihilation process, , with ballistic particle motion is investigated when the distribution of particle velocities is {\it discrete}. This discretene…
Universal and Non-Universal First-Passage Properties of Planar Multipole Flows
J. Koplik, S. Redner, E. J. Hinch
The dynamics of passive Brownian tracer particles in steady two-dimensional potential flows between sources and sinks is investigated. The first-passage probability, , exhibi…
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…
Propagation and Extinction in Branching Annihilating Random Walks
Daniel ben-Avraham, Francois Leyvraz, Sid Redner
We investigate the temporal evolution and spatial propagation of branching annihilating random walks in one dimension. Depending on the branching and annihilation rates, a few-part…
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…