22 citations · 83 across the 7 of their papers we have counts for
7 papers
Spatial stochastic predator-prey models
Mauro Mobilia, Ivan T. Georgiev, Uwe C. Tauber
We consider a broad class of stochastic lattice predator-prey models, whose main features are overviewed. In particular, this article aims at drawing a picture of the influence of…
Generalized empty-interval method applied to a class of one-dimensional stochastic models
Mauro Mobilia, Pierre-Antoine Bares
In this work we study, on a finite and periodic lattice, a class of one-dimensional (bimolecular and single-species) reaction-diffusion models which cannot be mapped onto free-ferm…
Solution of a one-dimensional stochastic model with branching and coagulation reactions
Mauro Mobilia, Pierre-Antoine Bares
We solve an one-dimensional stochastic model of interacting particles on a chain. Particles can have branching and coagulation reactions, they can also appear on an empty site and…
Solution of a class of one-dimensional reaction-diffusion models in disordered media
M. Mobilia, P. -A. Bares
We study a one-dimensional class of reaction-diffusion models on a parameters manifold. The equations of motion of the correlation functions close on this manifold. We compute…
A two-species d-dimensional diffusive model and its mapping onto a growth model
M. Mobilia, P. -A. Bares
In this work, we consider a diffusive two-species d-dimensional model and study it in great details. Two types of particles, with hard-core, diffuse symmetrically and cross each ot…
Exact solution of a class of one-dimensional nonequilibrium stochastic models
M. Mobilia, P. -A. Bares
We consider various one-dimensional non-equilibrium models, namely the {\it diffusion-limited pair-annihilation and creation model} (DPAC) and its unbiased version (the Lushnikov's…