Skip to main content

Cellular Automata

  • Chapter
  • 995 Accesses

Keywords

  • Cellular Automaton
  • Cellular Automaton Model
  • Cellular Automat
  • Hemical System
  • Transition Probabilit

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • DOI: 10.1007/1-4020-3690-6_2
  • Chapter length: 30 pages
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
eBook
USD   139.00
Price excludes VAT (USA)
  • ISBN: 978-1-4020-3690-3
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD   179.99
Price excludes VAT (USA)
Hardcover Book
USD   179.99
Price excludes VAT (USA)

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. S. Wolfram, Cellular automata. Los Alamos Sci. 1983, 9, 2–21.

    Google Scholar 

  2. S. M. Ulam, Random processes and transformations. Proc. Int. Congr. Math. 1952 (held in 1950), 2, 264.

    Google Scholar 

  3. S. M. Ulam, Adventures of a Mathematician. Charles Scribner’s Sons, New York, 1976.

    Google Scholar 

  4. J. von Neumann, in Theory of Self-Replicating Automata, A. Burks, ed. University of Illinois Press, Urbana, 1966.

    Google Scholar 

  5. K. Zuse, The computing universe. Int. J. Theor. Phys. 1982, 21, 589.

    Google Scholar 

  6. T. Toffoli and N. Margolus, Cellular Automata Machines. The MIT Press, Cambridge, MA, 1987.

    Google Scholar 

  7. M. Schroeder, Fractals, Chaos, Power Laws. W. H. Freeman, New York, 1991, p. 371.

    Google Scholar 

  8. J. Signorini, Complex computing with cellular automata. In Cellular Automata and Modeling of Complex Physical Systems, P. Manneville, N. Boccara, G. Y. Vishniac, and R. Bidaux, eds. Springer-Verlag, New York, 1990, 57–70.

    Google Scholar 

  9. G. Y. Vichniac, Simulating physics with cellular automata. Physica D. 1984, 10, 96–116.

    CrossRef  Google Scholar 

  10. T. Toffoli, Cellular automata as an alternative to (rather than an approximation of) differential equations in modeling physics. Physica D. 1984, 10, 117–127.

    Google Scholar 

  11. S. Wolfram, Preface. Physica D. 1984, 10, vii–xii.

    Google Scholar 

  12. S. Wolfram, A New Kind of Science. Wolfram Media, Champaign, IL, 2002.

    Google Scholar 

  13. S. Kauffman, Emergent properties in random complex Automata. Physica D. 1984, 10, 145–156.

    CrossRef  Google Scholar 

  14. L. B. Kier, C.-K. Cheng, and B. Testa, A cellular automata model of micelle formation. Pharm. Res. 1996, 13, 1419–1422.

    CAS  CrossRef  Google Scholar 

  15. C.-K. Cheng and L. B. Kier, A cellular automata model of oil-water partitioning. J. Chem. Inf. Comput. Sci. 1995, 35, 1054–1059.

    CAS  CrossRef  Google Scholar 

  16. L. B. Kier, C.-K. Cheng, and H. T. Karnes, A cellular automata model of chromatography. Biomed. Chromatogr. 2000, 14, 530–534.

    CAS  CrossRef  Google Scholar 

  17. L. B. Kier and C.-K. Cheng, A Cellular Automata Model of Water. J. Chem. Inf. Comput. Sci. 1994, 34, 647.

    CAS  Google Scholar 

  18. L. B. Kier, C.-K. Cheng, and P. G. Seybold, Cellular automata models of aqueous solution systems. In Reviews in Computational Chemistry, vol. 17, K. B. Lipkowitz and D. B. Boyd, eds. Wiley-VCH, New York, 2001, 205–254.

    Google Scholar 

  19. P. G. Seybold, L. B. Kier, and C.-K. Cheng, Simulation of first-order chemical kinetics using cellular automata. J. Chem. Inf. Comput. Sci. 1997, 37, 386–391.

    CAS  CrossRef  Google Scholar 

  20. B. Hayes, How to avoid yourself. Am. Sci. 1988, 86, 314–319.

    Google Scholar 

  21. G. Gamow, One, Two, Three, … Infinity. Dover Publ., New York, 1988.

    Google Scholar 

  22. H. C. Berg, Random Walks in Biology. Princeton University Press, Princeton, NJ, 1983.

    Google Scholar 

  23. G. H. Weiss, Random walks and their applications. Am. Sci. 1983, 71, 65–71.

    CAS  Google Scholar 

  24. M. F. Shlesinger and J. Klafter, Random walks in liquids. J. Phys. Chem. 1989, 93, 7023–7026.

    CAS  CrossRef  Google Scholar 

  25. B. H. Lavenda, Brownian motion. Sci. Am. 1985, 252(2), 70–85.

    Google Scholar 

  26. J. R. Powell and T. Dobzhansky, How far do flies fly? Am. Sci. 1976, 10, 179–185.

    Google Scholar 

  27. G. Slade, Random walks. Am. Sci. 1996, 84, 146–153.

    Google Scholar 

  28. B. G. Malkiel, A Random Walk Down Wall Street, 7th ed. Norton, New York 1999.

    Google Scholar 

  29. A.W. Lo and A. C. MacKinlay, A Non-RandomWalk DownWall Street. Princeton University Press, Princeton, NJ, 1999.

    Google Scholar 

Download references

Rights and permissions

Reprints and Permissions

Copyright information

© 2005 Springer

About this chapter

Cite this chapter

(2005). Cellular Automata. In: Modeling Chemical Systems Using Cellular Automata. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3690-6_2

Download citation