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Comments on the information, information gain and efficiency of self-organizing systems

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Zeitschrift für Physik B Condensed Matter

Abstract

Haken recently applied the slaving principle to decompose expressions for information, information gain and efficiency of self-organizing systems into two parts. The first part in each case depends on the order parameter while the second on the slaved modes. Close to the instability points the latter contribution can be ignored. In this paper we elaborate on the formulas given by Haken and find exact expressions which are analytical in the entire domain of the values of control parameters. We also find their asymptotic limits in the immediate proximity of the instability point and far away from it. Our results provide a direct way of relating information, information gain and efficiency of nonequilibrium critical systems to their control parameters.

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References

  1. Haken, H. (ed.): Synergetics. An introduction. In: Springer Series in Synergetics. 3rd Edn., Vol. 1. Berlin, Heidelberg, New York: Springer 1983

    Google Scholar 

  2. Haken, H. (ed.): Advanced Synergetics. In: Springer Series in Synergetics. Vol. 20. Berlin, Heidelberg, New York: Springer 1983

    Google Scholar 

  3. DeGiorgio, V., Scully, M.O.: Phys. Rev. A2, 1170 (1970).

    Google Scholar 

  4. Haken, H.: Cooperative phenomena. Haken, H., Wagner, M. (eds.). New York, Heidelberg, Berlin: Springer 1983; Rev. Mod. Phys.47, 67 (1975)

    Google Scholar 

  5. Haken, H.: Z. Phys. B—Condensed Matter61, 329 (1985)

    Google Scholar 

  6. Shannon, C.E.: Bell System Technol. J.27, 370, 623 (1948)

    Google Scholar 

  7. Kullback, S.: Ann. Math. Stat.22, 79 (1951)

    Google Scholar 

  8. Witschel, W.: Chem. Phys.50, 265 (1980); Phys. Lett. A77, 107 (1980); Z. Naturforsch. a36, 481 (1981)

    Google Scholar 

  9. Witschel, W., Bohmann, J.: J. Phys. A13, 2735 (1980)

    Google Scholar 

  10. Tuszyński, J.A., Clouter, M.J., Kiefte, H.: Phys. Lett. A108, 272 (1985); Phys. Rev. B33, 3423 (1986)

    Google Scholar 

  11. Abramowitz, M., Stegun, I.A.: Handbook of mathematical functions. New York: Dover 1965

    Google Scholar 

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Authors and Affiliations

  1. Department of Physics, Memorial University of Newfoundland, A1B 3X7, St. John's, Newfoundland, Canada

    J. A. Tuszyński

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  1. J. A. Tuszyński
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Tuszyński, J.A. Comments on the information, information gain and efficiency of self-organizing systems. Z. Physik B - Condensed Matter 65, 375–379 (1987). https://doi.org/10.1007/BF01303726

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  • DOI: https://doi.org/10.1007/BF01303726

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