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Transport Constitutive Relations, Quantum Diffusion and Periodic Reactions

  • Jiří J. MarešEmail author
  • Jaroslav Šesták
  • Pavel Hubík
Chapter
Part of the Hot Topics in Thermal Analysis and Calorimetry book series (HTTC, volume 8)

Abstract

In this contribution we are discussing a class of linear phenomenological transport equations and in some cases also their relation to microphysical description of corresponding effects. Interestingly enough, in spite of practically identical forms of these constitutive relations there are large differences in their physical content; just such a large diversity of natural processes behind the same mathematical form should serve as a serious warning before making superficial analogies. On the other hand, besides quite obvious analogies there may be found also those much deeper and sometimes quite astonishing. Lesser known or even new aspects of this kind the reader can find especially in paragraphs dealing with Ohm’s law and with statistical interpretation of generalized Fick’s law. The congruence of the last one with the fundamental equation of quantum mechanics, the Schrödinger equation, opened the possibility to interpret the rather enigmatic “quantum” behaviour of periodic chemical reactions as a special kind of diffusion.

Keywords

Brownian Motion Configuration Space Brownian Particle Intermittent Measurement Markovian Stochastic Process 
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.

Notes

Acknowledgments

This work was supported by Institutional Research Plan of Institute of Physics No AV0Z10100521.

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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  • Jiří J. Mareš
    • 1
    Email author
  • Jaroslav Šesták
    • 2
  • Pavel Hubík
    • 1
  1. 1.Institute of Physics ASCR, v.v.i.Praha 6Czech Republic
  2. 2.New Technologies Research CentreUniversity of West BohemiaPlzeňCzech Republic

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