48 citations · 125 across the 4 of their papers we have counts for
4 papers
A Method of Intervals for the Study of Diffusion-Limited Annihilation, A + A --> 0
Thomas M. Masser, Daniel ben-Avraham
We introduce a method of intervals for the analysis of diffusion-limited annihilation, A+A -> 0, on the line. The method leads to manageable diffusion equations whose interpretatio…
Kinetics of Coalescence, Annihilation, and the q-State Potts Model in One Dimension
Thomas Masser, Daniel ben Avraham
The kinetics of the q-state Potts model in the zero temperature limit in one dimension is analyzed exactly through a generalization of the method of empty intervals, previously use…
Two-Species Annihilation with Drift: A Model with Continuous Concentration-Decay Exponents
Daniel ben-Avraham, Vladimir Privman, Dexin Zhong
We propose a model for diffusion-limited annihilation of two species, or , where the motion of the particles is subject to a drift. For equal initial concentrations o…
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…