21 citations · 51 across the 4 of their papers we have counts for
4 papers
Fluctuation Effects in the Pair-Annihilation Process with Lévy Dynamics
Ingo Homrighausen, Anton A. Winkler, Erwin Frey
We investigate the density decay in the pair-annihilation process A+A->0 in the case when the particles perform anomalous diffusion on a cubic lattice. The anomalous diffusion is r…
Long-Range and Many-Body Effects in Coagulation Processes
Anton A. Winkler, Erwin Frey
We study the problem of diffusing particles which coalesce upon contact. With the aid of a non-perturbative renormalization group, we first analyze the dynamics emerging below the…
On the Validity of the Law of Mass Action in Three-Dimensional Coagulation Processes
Anton Winkler, Erwin Frey
Diffusion limited reactions are studied in detail on the classical coalescing process. We demonstrate how, with the aid of a recent renormalization group approach, fluctuations can…
Coexistence in a One-Dimensional Cyclic Dominance Process
Anton A. Winkler, Tobias Reichenbach, Erwin Frey
Cyclic (rock-paper-scissors-type) population models serve to mimic complex species interactions. Focusing on a paradigmatic three-species model with mutations in one dimension, we…