2009, English, Article edition: Critical phenomena in a discrete stochastic reaction-diffusion medium Fatès, Nazim; Berry, Hugues

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Bookmark: http://trove.nla.gov.au/version/209006
Physical Description
  • text
Published
  • HAL - CCSD
  • 2009
Language
  • English

Edition details

Title
  • Critical phenomena in a discrete stochastic reaction-diffusion medium
Author
  • Fatès, Nazim
  • Berry, Hugues
Published
  • HAL - CCSD
  • 2009
Physical Description
  • text
Subjects
Notes
  • We study the steady states of a reaction-diffusion medium modelled by a stochastic 2D cellular automaton. We consider the Greenberg-Hastings model where noise and topological irregularities of the grid are taken into account. The decrease of the probability of excitation changes qualitatively the behaviour of the system from an ``active'' to an ``extinct'' steady state. Simulations show that this change occurs near a critical threshold ; it is identified as a nonequilibrium phase transition which belongs to the directed percolation universality class. We test the robustness of the phenomenon by introducing persistent defects in the topology : directed percolation behaviour is conserved. Using experimental and analytical tools, we suggest that the critical threshold varies as the inverse of the average number of neighbours per cell.
  • HAL:inria-00396473, version 1
  • HAL:http:/​/​hal.inria.fr/​inria-00396473/​en/​
Language
  • English
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