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A Primer for Deterministic Thermodynamics and Cryodynamics

Dedicated to the Founder of Synergetics Hermann Haken

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Complexity and Synergetics

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Abstract

The basic laws of deterministic many-body systems are summarized in the footsteps of the deterministic approach pioneered by Yakov Sinai . Two fundamental cases, repulsive and attractive, are distinguished. To facilitate comparison, long-range potentials are assumed both in the repulsive case and in the new attractive case. In Part I, thermodynamics —including the thermodynamics of irreversible processes along with chemical and biological evolution—is presented without paying special attention to the ad hoc constraint of long-range repulsion. In Part II, the recently established new fundamental discipline of cryodynamics, based on long-range attraction, is described in a parallel format. In Part III finally, the combination (“dilute hot-plasma dynamics”) is described as a composite third sister discipline with its still largely unknown properties. The latter include the prediction of a paradoxical “double-temperature equilibrium” or at least quasi-equilibrium existing, which has a promising technological application in the proposed interactive local control of hot-plasma fusion reactors. The discussion section puts everything into a larger perspective which even touches on cosmology.

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Notes

  1. 1.

    Equation (5) was triggered by a discussion with Tom Kerwick .

  2. 2.

    Fournier is quoted 14 times.

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Acknowledgements

We thank Yakov Sinai for his long-standing encouragement, and Ali Sanayei, Stefan C. Müller, Valerie Messager, Ralph Abraham, John Kozak, Daniel Stein, Jim Yorke, M.A. Aziz-Alaoui, Cyrille Bertelle, Werner Ebeling, Peter Plath, Boris Schapiro, Ramis Movassagh, Kenzei Hiwaki, George Lasker, Greg Andonian, Peter Weibel, Eric Klien, Andre Assis, Saurya Das, Günter Häfelinger, Alfred Rieckers, Wolfgang Müller-Schauenburg, Henry Gebhardt, Tobias Winkler, Niels Birbaumer, Walter Ratjen, Günter Radons, Luc Pastur, Dogwon Kim, Jürgen Parisi, Bill Seaman, Joachim Peinke, Rudolf Huebener, Stephen Wolfram, Leon Chua, Niels Schopohl and Matthias Bartelmann for discussions. For J.O.R.

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Authors and Affiliations

  1. Division of Theoretical Chemistry, University of Tübingen, Auf der Morgenstelle 18, 72076, Tübingen, Germany

    Otto E. Rossler, Frank Kuske, Dieter Fröhlich & Thimo Böhl

  2. Department of Medical Information, Technical University Dresden, Blasewitzerstr. 86, 01307, Dresden, Germany

    Hans H. Diebner

  3. Department of Economics, National and Kapodistrian University of Athens, Sofokleous 1 str, 10559, Athens, Greece

    Demetris T. Christopoulos

  4. Physics Department, University of Rouen CORIA, Avenue de l´Université, 76801, Saint-Étienne du Rouvray, France

    Christophe Letellier

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  1. Otto E. Rossler
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Correspondence to Otto E. Rossler .

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Editors and Affiliations

  1. Institute of Experimental Physics, Otto-von-Guericke University Magdeburg, Magdeburg, Germany

    Stefan C. Müller

  2. Department of Physical Chemistry, Fritz-Haber-Institute of the MPG, Berlin, Germany

    Peter J. Plath

  3. Institute of Physics, Complex Systems, Technical University Chemnitz, Chemnitz, Germany

    Günter Radons

  4. Center for Complex Systems and Brain Sciences, Florida Atlantic University, Boca Raton, Florida, USA

    Armin Fuchs

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Rossler, O.E. et al. (2018). A Primer for Deterministic Thermodynamics and Cryodynamics. In: Müller, S., Plath, P., Radons, G., Fuchs, A. (eds) Complexity and Synergetics. Springer, Cham. https://doi.org/10.1007/978-3-319-64334-2_30

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