ACRI ’96 pp 72-78 | Cite as

Quasiperiod-3 and period-3 collective behavior in three dimensional totalistic illegal cellular automata with high connectivity

  • F. Jiménez-Morales
  • H. Karma
  • J. J. Luque
  • M. C. Lemos
Conference paper


The collective behavior of totalistic illegal cellular automata rules in d=3 with high connectivity is studied. P3 and QP3 behavior of a family of rules is located obtaining the Shannon information function and using a mean-field approximation.For the QP3 behavior the time autocorrelation function decays as a power law with an exponent of -1/2.


Cellular Automaton Cellular Automaton Lattice Size Collective Behavior Local Rule 
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  1. [1]
    S. Wolfram. Rev. Mod. Phys 55, 601Google Scholar
  2. [2]
    Harrison, R. M. and Parker, J. (1977), Analysis of Particulate Pollutants, in Handbook of Air Pollution Analysis (ed. R. Perry and R. J. Young), Chapman and Hall, London, pp. 84–156.Google Scholar
  3. [3]
    Little, P. and Wiffen, R. D. (1977), Emission and Deposition of Petrol Engine Exhaust Pb — I. Deposition of Exhaust Pb to Plant and Soil Surfaces, Atmos. Environ., 11, 437–447.CrossRefGoogle Scholar
  4. [4]
    Shaheen, D.G. (1975), Contributions of Urban Roadway Usage to Water Pollution, Environ. Prot. Agency Rep., EPA 600/2-75-004, Washington DC.Google Scholar
  5. [5]
    Ter Haar, G. L., Lenane, D. L., Hu, J. N. and Brandt, M. (1972), Composition, Size and Control of Automotive Exhaust Particulates, J. Air Pollut. Control Assoc., 22, 39–46.Google Scholar
  6. [6]
    Cawse, P. A. (1974), A Survey of Atmospheric Trace Elements in the UK (1972–73), UK Atomic Energy Authority Rep., AERE R7669, HMSO, London.Google Scholar
  7. [7]
    Harrison, R. M., Perry, R. and Wellings, R. A. (1975), Lead and Cadmium in Precipitation: Their Contribution to Pollution, J. Air Pollut. Control Assoc., 25, 627–630.Google Scholar
  8. [8]
    Laxen, D. P. H. and Harrison, R. M. (1977), The Highway as a Source of Water Pollution: An Appraisal with the Heavy Metal Lead, Water Res., 11, 1–11.CrossRefGoogle Scholar
  9. [9]
    Lester, J. N., Harrison, R. M. and Perry, R. (1979), The Balance of Heavy Metals through a Sewage Treatment Works. I. Lead, Cadmium and Copper, Sci. Tot. Environ., 12, 13–23.CrossRefGoogle Scholar
  10. [10]
    Berrow, M. L. and Webber, J. (1972), Trace Elements in Sewage Sludges, J. Sci. Food Agric., 23, 93–100.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag London Limited 1997

Authors and Affiliations

  • F. Jiménez-Morales
    • 1
  • H. Karma
    • 1
  • J. J. Luque
    • 1
  • M. C. Lemos
    • 1
  1. 1.Departamento de Física de la Materia CondensadaUniversidad de SevillaSevillaSpain

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