Random Boolean networks: Analogy with percolation
- 1 December 1987
- journal article
- research article
- Published by Taylor & Francis in Philosophical Magazine Part B
- Vol. 56 (6) , 901-916
- https://doi.org/10.1080/13642818708215325
Abstract
Recent work on Kauffman's cellular automata and analogies with phase transitions in statistical physics is reviewed. We concentrate on nearest-neighbour models in square, honeycomb and simple-cubic lattices, using Monte Carlo simulation and analogies with percolation. This paper is complemented by that of Derrida (this volume), who also deals with infinite-dimension models, solved analytically or numerically, and emphasizes analogies with spin glasses.Keywords
This publication has 18 references indexed in Scilit:
- Metabolic stability and epigenesis in randomly constructed genetic netsPublished by Elsevier ,2004
- Dynamics of spreading phenomena in two-dimensional Ising modelsPhysical Review Letters, 1987
- Statistical properties of randomly broken objects and of multivalley structures in disordered systemsJournal of Physics A: General Physics, 1987
- Fractal dimensions in three-dimensional Kauffman cellular automataJournal of Physics A: General Physics, 1987
- On forcing functions in Kauffman's random Boolean networksJournal of Statistical Physics, 1987
- Phase transition in cellular random Boolean netsJournal de Physique, 1987
- Phase Transitions in Two-Dimensional Kauffman Cellular AutomataEurophysics Letters, 1986
- Multivalley structure in Kauffman's model: analogy with spin glassesJournal of Physics A: General Physics, 1986
- Statistical mechanics of cellular automataReviews of Modern Physics, 1983
- Diffusion on percolation clusters at criticalityJournal of Physics A: General Physics, 1982