Critical behavior of the one-dimensional annihilation-fission process2A→Ø,2A→3A

2000/04/18 by Géza Ódor, Geza Odor · 1 citation
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Annihilation #Condensed matter physics #Extrapolation #Mathematical analysis #Mathematics #Nuclear physics #Percolation (cognitive psychology) #Physics #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Universality (dynamical systems) #cond-mat.stat-mech #nanoparticles nucleation surface interactions

paper · pdf · doi:10.1103/physreve.62.r3027

published as Phys. Rev. E. 62 (2000) R3027. · 4 pages, 5 figures, small changes

arxiv created 2000/04/18 · openalex publication_date 2000/09/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Numerical simulations and cluster mean-field approximations with coherent anomaly extrapolation show that the critical line of the 1d annihilation-fission process is separated into two regions. In both the small and high diffusion cases, the critical behavior is different from the well known universality classes of nonequilibrium phase transitions to absorbing states. The high diffusion region seems to be well described by the cyclically coupled directed percolation and annihilating random walk. Spreading exponents show nonuniversal behavior.

Citations

• Propagation and extinction in branching annihilating random walks
• Stochastic Lattice Models with Several Absorbing States
• One-dimensional non-equilibrium kinetic Ising models with branching annihilating random walk
• Critical Exponents for Branching Annihilating Random Walks with an Even Number of Offspring

Cited by

• Pair contact process with diffusion: A new type of nonequilibrium critical behavior?
• Moment ratios for the pair-contact process with diffusion