Ballistic annihilation and deterministic surface growth.
From MaRDI portal
Publication:1593274
DOI10.1007/BF02178546zbMath1081.60553WikidataQ56454383 ScholiaQ56454383MaRDI QIDQ1593274
Pablo A. Ferrari, Vladimir Belitsky
Publication date: 16 January 2001
Published in: Journal of Statistical Physics (Search for Journal in Brave)
hydrodynamic limitannihilating two-species reactiondeterministic model of surface growthmoving local minimum of Brownian motionthree-color cyclic cellular automaton
Interacting particle systems in time-dependent statistical mechanics (82C22) Brownian motion (60J65) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Self-similar stochastic processes (60G18)
Related Items
Three-speed ballistic annihilation: phase transition and universality ⋮ Limiting behavior of 3-color excitable media on arbitrary graphs ⋮ Ergodicity of some classes of cellular automata subject to noise ⋮ The upper threshold in ballistic annihilation ⋮ Stability of cellular automata trajectories revisited: branching walks and Lyapunov profiles ⋮ The argmin process of random walks, Brownian motion and Lévy processes ⋮ Self-organisation in cellular automata with coalescent particles: qualitative and quantitative approaches ⋮ Persistence of sums of correlated increments and clustering in cellular automata ⋮ Three-velocity coalescing ballistic annihilation ⋮ Dynamical pruning of rooted trees with applications to 1-D ballistic annihilation ⋮ Exact probabilities and asymptotics for the one-dimensional coalescing ideal gas ⋮ Periodic orbit analysis for the deterministic path-preference traffic flow cellular automaton ⋮ Combinatorial universality in three-speed ballistic annihilation ⋮ Asymptotic behaviour of the one-dimensional ``rock-paper-scissors cyclic cellular automaton ⋮ Invariant measures and convergence properties for cellular automaton 184 and related processes ⋮ Clustering in the three and four color cyclic particle systems in one dimension ⋮ Random self-similar trees: a mathematical theory of Horton laws ⋮ A slow-to-start traffic model related to aM/M/1 queue
Cites Work