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.
KeywordsPump Power Rayleigh Number Sine Wave Slime Mold Single Degree
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- H. Haken, R. Graham: Synergetik-Die Lehre vom Zusammenwirken. Umschau 6, 191 (1971)Google Scholar
- H. Haken (ed.): Cooperative Effects, Progress in Synergetics (North Holland, Amsterdam 1974)Google Scholar
- 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, seezbMATHGoogle Scholar
- 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
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- T. M. Konijn: Advanc. Cycl. Nucl. Res, 1, 17 (1972)Google Scholar