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Thermal Physics and Thermal Analysis pp 131–157Cite as

Self-organized Periodic Processes: From Macro-layers to Micro-world of Diffusion and Down to the Quantum Aspects of Light

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Part of the book series: Hot Topics in Thermal Analysis and Calorimetry ((HTTC,volume 11))

Abstract

Self-similarity and the orderly crystal (often dendritic) growth are an important parts of nature as well as the source of solid-state thermal chemistry under nonequilibrium (undercooling) conditions providing theoretical roots of chemical swinging clock. Such oscillation processes known in chemistry and biology apply for systems far from equilibrium involving special cases of oscillations extending from the self-organized periodic chemical reactions (such as Liesegang’s or Belousov–Zhabotinsky’s reactions) to ordered solid-state processes, from liquids to atmosphere, from macro to micro, indispensable in biology. The chapter deals with a remarkable problem of thermal physics, unresolved for more than 70 years, concerning class of diffusion-controlled periodic chemical reactions, where macroscopically observed diffusion action attains, with appreciable accuracy, the value of Planck’s quantum. Because the classical and quantum diffusions are processes, which are indistinguishable in the configuration space, a quantum criterion in terms of diffusion constants is valid. This criterion enables one to find out conditions under which the quantum behaviour of self-organized periodic reactions can be observed. Examples are shown for the subcritical and critical oscillatory regimes; a special kind of self-organized Liesegang’s rings—annual growth rings of a trunk of larch tree is discussed. The text even involves a thinkable hypothesis of the light self-organization based on the previously analysed principle on least time (Fermat) and of the least action (Maupertuis). It was already noticed by Galileo who opened this problem aware that the cycloid curve yields the quickest descent leading to the so-called brachistochrone. The chapter contains 130 references.

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Acknowledgements

The results were developed and the book realized thanks to the resources made available by the financial support of the CENTEM project, reg. no. CZ.1.05/2.1.00/03.0088, jointly funded by the ERDF (within the OP RDI program of the Czech Ministry of Education, Youth and Sports).

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Authors and Affiliations

  1. New Technologies Research Centre (NTC-ZČU), University of West Bohemia, Universitní 8, 30114, Pilsen, Czech Republic

    Jaroslav Šesták

  2. Division of Solid-State Physics, Institute of Physics, Czech Academy of Sciences, Prague, Czech Republic

    Pavel Hubík & Jiří J. Mareš

  3. Laboratory of Diffusion Processes, Bazovského 1228, Prague, 16300, Czech Republic

    Jiří Stávek

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Correspondence to Jaroslav Šesták .

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  1. New Technologies (NTC-ZČU) Research Centre of the Westbohemian Region, University of West Bohemia, Plzeň, Czech Republic

    Jaroslav Šesták

  2. Division of Solid-State Physics, Czech Academy of Sciences, Institute of Physics, Praha , Czech Republic

    Pavel Hubík

  3. Division of Solid-State Physics, Czech Academy of Sciences, Institute of Physics, Praha, Czech Republic

    Jiří J. Mareš

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Šesták, J., Hubík, P., Mareš, J.J., Stávek, J. (2017). Self-organized Periodic Processes: From Macro-layers to Micro-world of Diffusion and Down to the Quantum Aspects of Light. In: Šesták, J., Hubík, P., Mareš, J. (eds) Thermal Physics and Thermal Analysis. Hot Topics in Thermal Analysis and Calorimetry, vol 11. Springer, Cham. https://doi.org/10.1007/978-3-319-45899-1_6

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