890 citations · 8.4k across the 209 of their papers we have counts for
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Maxwell Model of Traffic Flows
E. Ben-Naim, P. L. Krapivsky
We investigate traffic flows using the kinetic Boltzmann equations with a Maxwell collision integral. This approach allows analytical determination of the transient behavior and th…
Influence of Island Diffusion on Submonolayer Epitaxial Growth
P. L. Krapivsky, J. F. F. Mendes, S. Redner
We investigate the kinetics of submonolayer epitaxial growth which is driven by a fixed flux of monomers onto a substrate. Adatoms diffuse on the surface, leading to irreversible a…
Polydisperse Adsorption: Pattern Formation Kinetics, Fractal Properties, and Transition to Order
N. V. Brilliantov, Yu. A. Andrienko, P. L. Krapivsky +1
We investigate the process of random sequential adsorption of polydisperse particles whose size distribution exhibits a power-law dependence in the small size limit, $P(R)\sim R^{α…
Island Distance in One-Dimensional Epitaxial Growth
Harald Kallabis, Paul L. Krapivsky, Dietrich E. Wolf
The typical island distance in submonlayer epitaxial growth depends on the growth conditions via an exponent . This exponent is known to depend on the substrate dimension…
Slow Coarsening in an Ising Chain with Competing Interactions
S. Redner, P. L. Krapivsky
We investigate the zero-temperature coarsening dynamics of a chain of Ising spins with a nearest-neighbor ferromagnetic and an nth-neighbor antiferromagnetic interactions. For suff…
Domain Number Distribution in the Nonequilibrium Ising Model
E. Ben-Naim, P. L. Krapivsky
We study domain distributions in the one-dimensional Ising model subject to zero-temperature Glauber and Kawasaki dynamics. The survival probability of a domain, ,…