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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…
A Generalization of both the Method of Images and of the Classical Integral Transforms
Athanassios S. Fokas, Daniel ben-Avraham
A new method for the solution of initial-boundary value problems for evolution PDEs recently introduced by Fokas is generalised to multidimensions. Also the relation of this method…
Mean-field solution of the parity-conserving kinetic phase transition in one dimension
Dexin Zhong, Daniel ben-Avraham, Miguel A. Munoz
A two-offspring branching annihilating random walk model, with finite reaction rates, is studied in one-dimension. The model exhibits a transition from an active to an absorbing ph…
Variable survival exponents in history-dependent random walks: hard movable reflector
Ronald Dickman, Francisco Fontenele Araujo, Daniel ben-Avraham
We review recent studies demonstrating a nonuniversal (continuously variable) survival exponent for history-dependent random walks, and analyze a new example, the hard movable part…
Geographical Embedding of Scale-Free Networks
Daniel ben-Avraham, Alejandro F. Rozenfeld, Reuven Cohen +1
A method for embedding graphs in Euclidean space is suggested. The method connects nodes to their geographically closest neighbors and economizes on the total physical length of li…
Large-Scale Simulations of Diffusion-Limited n-Species Annihilation
Dexin Zhong, Roan Dawkins, Daniel ben-Avraham
We present results from computer simulations for diffusion-limited -species annihilation, , on the line, for lattices of up to si…