890 citations · 8.4k across the 209 of their papers we have counts for
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Multiscaling in Infinite Dimensional Collision Processes
E. Ben-Naim, P. L. Krapivsky
We study relaxation properties of two-body collisions in infinite spatial dimension. We show that this process exhibits multiscaling asymptotic behavior as the underlying distribut…
Capture of the Lamb: Diffusing Predators Seeking a Diffusing Prey
S. Redner, P. L. Krapivsky
We study the capture of a diffusing "lamb" by diffusing "lions" in one dimension. The capture dynamics is exactly soluble by probabilistic techniques when the number of lions is ve…
Coarsening in a Driven Ising Chain with Conserved Dynamics
V. Spirin, P. L. Krapivsky, S. Redner
We study the low-temperature coarsening of an Ising chain subject to spin-exchange dynamics and a small driving force. This dynamical system reduces to a domain diffusion process,…
Comment on ``Dynamic Scaling in the Spatial Distribution of Persistent Sites''
E. Ben-Naim, P. L. Krapivsky
In a recent paper (cond-mat/9901130), the spatial distribution of unvisited sites in the one-dimensional single-species annihilation process was investigated. It was claimed that t…
Does Good Mutation Help You Live Longer?
W. Hwang, P. L. Krapivsky, S. Redner
We study the dynamics of an age-structured population in which the life expectancy of an offspring may be mutated with respect to that of its parent. When advantageous mutation is…