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Why You Might Read This Book
  • Hermann Haken
Part of the Springer Series in Synergetics book series (SSSYN, volume 1)

Abstract

Let us begin with some typical observations of our daily life. When we bring a cold body in contact with a hot body, heat is exchanged so that eventually both bodies acquire the same temperature (Fig. 1.1). The system has become completely homogeneous, at least macroscopically. The reverse process, however, is never observed in nature. Thus there is a unique direction into which this process goes.

Keywords

Pump Power Rayleigh Number Sine Wave Slime Mold Single Degree 
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.

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References

  1. H. Haken, R. Graham: Synergetik-Die Lehre vom Zusammenwirken. Umschau 6, 191 (1971)Google Scholar
  2. H. Haken (ed.): Synergetics (Proceedings of a Symposium on Synergetics, Elmau 1972) (B. G. Teubner, Stuttgart 1973)MATHGoogle Scholar
  3. H. Haken (ed.): Cooperative Effects, Progress in Synergetics (North Holland, Amsterdam 1974)Google Scholar
  4. H. Haken: Cooperative effects in systems far from thermal equilibrium and in nonphysical systems. Rev. Mod. Phys. 47, 67 (1975)MathSciNetADSCrossRefGoogle Scholar
  5. H. Haken (ed.): Synergetics, A Workshop, Proceedings of a workshop on Synergetics, Elmau 1977 (Springer, Berlin-Heidelberg-New York 1977) An approach, entirely different from ours, to treat the formation of structures in physical, chemical an biochemical systems is due to Prigogine and his school, seeMATHGoogle Scholar
  6. P. Glansdorff, I. Prigogine: Thermodynamic Theory of Structure, Stability and Fluctuations (Wiley, New York 1971)MATHGoogle Scholar
  7. Prigogine has coined the word “dissipative structures”. Glansdorff and Prigogine base their work on entropy production principles and use the excess entropy production as means to search for the onset of an instability. The validity of such criteria has been critically investigated by R. Landauer: Phys. Rev. A 12, 636 (1975). The Glansdorff-Prigogine approach does not give an answer to what happens at the instability point and how to determine or classify the new evolving structures. An important line of research by the Brussels school, namely chemical reaction models, comes closer to the spirit of Synergetics (compare Chapter 9).ADSCrossRefGoogle Scholar

Order and Disorder. Some Typical Phenomena

  1. J. T. Bonner, D. S. Barkley, E. M. Hall, T. M. Konijn, J. W. Mason, G. O’Keefe, P. B. Wolfe: Develop. Biol. 20, 72 (1969) For literature on thermodynamics see Section 3.4. For literature on phase transitions see Section 6.7. For detailed references on lasers, fluid dynamics, chemistry and biology consult the references of the corresponding chapters of our book. Since the case of slime-mold is not treated any further here, we give a few references:CrossRefGoogle Scholar
  2. T. M. Konijn: Advanc. Cycl. Nucl. Res, 1, 17 (1972)Google Scholar
  3. A. Robertson, D. J. Drage, M. H. Cohen: Science 175, 333 (1972)ADSCrossRefGoogle Scholar
  4. G. Gerisch, B. Hess: Proc. nat. Acad. Sci. (Wash.) 71, 2118 (1974)ADSCrossRefGoogle Scholar
  5. G. Gerisch: Naturwissenschaften 58, 430 (1971)ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1978

Authors and Affiliations

  • Hermann Haken
    • 1
  1. 1.Institut für Theoretische PhysikUniversität StuttgartStuttgart 80Fed. Rep. of Germany

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