Schloegl's second model for autocatalysis on a cubic lattice: mean-field-type discrete reaction-diffusion equation analysis

DOI10.1007/s10955-011-0288-6zbMath1269.82040OpenAlexW1997449571MaRDI QIDQ648146

J. W. Evans, Chi-Jen Wang, Da-Jiang Liu, Xiaofang Guo

Publication date: 22 November 2011

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-011-0288-6

zbMATH Keywords

discrete reaction-diffusion equationsgeneric two-phase coexistenceinterface propagationSchloegl's second model

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20)

Cites Work

• Foundations of synergetics. I: Distributed active systems
• Dynamics of the Schlögl models on lattices of low spatial dimension
• Propagation failure of traveling waves in a discrete bistable medium
• Generic two-phase coexistence and nonequilibrium criticality in a lattice version of Schlögl's second model for autocatalysis
• Universality classes in nonequilibrium lattice systems
• Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
• Nonequilibrium Phase Transitions in Lattice Models
• Stochastic Spatial Models