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Degree Distributions of Growing Networks
P. L. Krapivsky, G. J. Rodgers, S. Redner
The in-degree and out-degree distributions of a growing network model are determined. The in-degree is the number of incoming links to a given node (and vice versa for out-degree.…
Organization of Growing Random Networks
P. L. Krapivsky, S. Redner
The organizational development of growing random networks is investigated. These growing networks are built by adding nodes successively and linking each to an earlier node of degr…
Infiltration through porous media
W. Hwang, S. Redner
We study the kinetics of infiltration in which contaminant particles, which are suspended in a flowing carrier fluid, penetrate a porous medium. The progress of the ``invader'' par…
Fate of Zero-Temperature Ising Ferromagnets
V. Spirin, P. L. Krapivsky, S. Redner
We investigate the relaxation of homogeneous Ising ferromagnets on finite lattices with zero-temperature spin-flip dynamics. On the square lattice, a frozen two-stripe state is app…
Connectivity of Growing Random Networks
P. L. Krapivsky, S. Redner, F. Leyvraz
A solution for the time- and age-dependent connectivity distribution of a growing random network is presented. The network is built by adding sites which link to earlier sites with…
Clogging Time of a Filter
Somalee Datta, S. Redner
We study the time until a filter becomes clogged due to the trapping of suspended particles as they pass through a porous medium. This trapping progressively impedes and eventually…