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Nonlinear Chemical Reactions in Diluted Solutions

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Selforganization by Nonlinear Irreversible Processes

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 33))

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Abstract

In the theory of selforganization we have to describe some fundamental and nontrivial phenomena /1,2,3/:

  1. (i)

    Nonlinearit.y of the kinetic equations, caused by far-from-equilibrium conditions and the existence of feedback loops in the system, giving rise to kinetic phase transitions, multistability, selfsustained oscillations or even chaotic behaviour;

  2. (ii)

    Spatial transport, e.g. via diffusion or convection, leading to spatial patterns and long-range correlations, to moving phase fronts and nucleation phenomena;

  3. (iii)

    Noise, e.g. thermal noise or shot noise of chemical reactions, requiring probabilistic descriptions and bringing noise-induced phenomena into the picture;

  4. (iv)

    Interacting particles like ions or hard spheres, being responsible for electrical dissipative structures or nonideality effects.

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References

  1. P. Glansdorff, I. Prigogine: Thermodynamics of Structure, Stability and Fluctuations (Wiley, New York 1971)

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  2. H. Haken: Synergetics (Teubner, Stuttgart 1973)

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  3. W. Ebeling, R. Feistel: Physik der Selbstorganisation und Evolution (Akademie-Verlag, Berlin 1982)

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  4. E.A. Strelcova: Dokl.Akad.Nauk USSR 116, 820 (1957)

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  5. W. Ebeling: Ann.Physik 16, 147 (1957)

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  6. H. Falkenhagen: Theorie der Elektrolyte (Teubner, Leipzig 1971)

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  7. M. Malek-Mansour, C. v.d. Broeck, G. Nicolis, J.W. Turner: Ann.Physik 131, 283 (1981)

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  8. K.J. McNeil, D.F. Walls: J.Stat.Phys. 10, 439 (1974)

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© 1986 Springer-Verlag Berlin Heidelberg

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Feistel, R. (1986). Nonlinear Chemical Reactions in Diluted Solutions. In: Ebeling, W., Ulbricht, H. (eds) Selforganization by Nonlinear Irreversible Processes. Springer Series in Synergetics, vol 33. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-71004-9_5

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  • DOI: https://doi.org/10.1007/978-3-642-71004-9_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-71006-3

  • Online ISBN: 978-3-642-71004-9

  • eBook Packages: Springer Book Archive

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