By Hermann Haken (auth.), Professor Dr. Hermann Haken (eds.)
This ebook includes the invited papers of a world symposium on synergetics; which used to be held at Schlol3 Elmau, Bavaria, FRG, April 27 to could 1, 1981. At our earlier conferences on synergetics the self-organized formation of constructions in rather diverse disciplines stood within the foreground of our curiosity. extra lately it has became out that phenomena characterised through the be aware "chaos" seem in a variety of disciplines, and back far-reaching analogies within the habit of rather varied structures come into sight. for that reason this assembly was once dedicated not just to difficulties hooked up with the prevalence of ordered buildings but in addition to most modern effects got within the learn of chaotic movement. within the strict mathematical feel we're dealing right here with deterministic chaos, i. e. , abnormal movement defined through deter ministic equations. whereas during this fairly younger fieJd of study computing device ex periments and computing device simulations predominated some time past, there now appears a transformation of development, specifically to review yes average good points of chaos through analytical metbods. i believe significant growth has been accomplished during this admire relatively lately. This theoretical paintings is paralleled through a couple of very appealing experi ments in numerous fields, e. g. , fluid dynamics, solid-state physics, and chemistry. For the 1st time at this type of assembly we now have incorporated plasma physics, which provides a couple of such a lot interesting issues of appreciate to instabilities, formation of constructions, and similar phenomena.
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Additional info for Chaos and Order in Nature: Proceedings of the International Symposium on Synergetics at Schloß Elmau, Bavaria, April 27 – May 2, 1981
HUbler, G. Schubert, and G. Meyer-Kress * Physik-Department E15 + E13, Technische Universitat MUnchen, 0-8046 Garching bei MUnchen, Fed. Rep. of Germany *Institut fUr Theoretische Physik der Universitat Stuttgart, 0-7000 Stuttgart 3, Fed. Rep. of Germany 1. Introduction More than one hundred years ago, Kundt was able to measure sound wavelengths by observing dust figures in resonance tubes . This method of measuring wavelength is described in every textbook of undergraduate physics but a valid explanation for the origin of the fine structure of the dust figures, as already seen by Kundt, seems hard to find.
Experiment The signal from a sine generator is amplified and led through a loudspeaker (acoustic power 10- 3-10- 2W). A glass or plexiglass tube, or plastic hosepipe, with square or round section (diameter «wavelength) is used as a resonator for the resulting sound waves. The sound pressure and the frequency are measured by a small microphone at the end of the tube. 1). 3. iently small signal intensity, there appears to be no change taking place in the powder. When we raise the sound pressure, there is a point I1 of onset intensity at which distinct walls (one particle deep) are suddenly to be seen.
Kalvius for their stimulating interest in our work. References: 1. A. Kundt, Ann. der Physik und Chemie, CXXVII, 497 (1866) 2. W. Konig, Ann. der Physik und Chemie, XLI I, 353 ( 1891) 3. 5. N. Andrade, Proc. Roy. Soc. N. Andrade, Phil. , A230, 413 (1932) H. , Springer Series in Synergetics, Vol. 1 (Springer Berlin, Heidelberg, New York 1978) G. Herziger, Private communication 6. W. Staszewski, Acta Phys. , XIII, 209 (1953) 7. R. W. Pohl, 8. H. Busse, In Hydrodynamie Instabilities and the Transition to Turbulenee~ ed.
Chaos and Order in Nature: Proceedings of the International Symposium on Synergetics at Schloß Elmau, Bavaria, April 27 – May 2, 1981 by Hermann Haken (auth.), Professor Dr. Hermann Haken (eds.)