Multi-particle cellular-automata models for diffusion simulation

  • Authors:
  • Yu Medvedev

  • Affiliations:
  • The Institute of Computational Mathematics and Mathematical Geophysics, Supercomputer Software Dept., Novosibirsk, Russia

  • Venue:
  • MTPP'10 Proceedings of the Second Russia-Taiwan conference on Methods and tools of parallel programming multicomputers
  • Year:
  • 2010

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Abstract

Two new cellular-automata models of the diffusion process are proposed. They are based on integer states of cells instead of Boolean ones in the known models: asynchronous naive diffusion by Toffolli and block-synchronous Margolus diffusion. Computing experiments have been carried out with these models; they demonstrate a good correlation with this physical phenomenon. The main advantages of the proposed models are (i) low automata noise and (ii) variable diffusion rate.