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Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 4 pp 31–63Cite as

Chaos, Transport and Diffusion

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Part of the book series: Understanding Complex Systems ((UCS))

Abstract

This chapter presents basic elements of chaotic dynamical system theory. The concept of Lyapunov exponent, predictability time and Lagrangian chaos are introduced together with examples. The second part is devoted to the discussion of Lagrangian chaos, in particular in two dimensions, and its relation with Eulerian properties of the flow. The last part of the chapter contains an introduction to diffusion and transport processes, with particular emphasis on the treatment of non-ideal cases.

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Author information

Authors and Affiliations

  1. Department of Physics, University of Torino, Via Pietro Giuria 1, 10125, Torino, Italy

    Guido Boffetta

  2. CNR ISAC, Str. Prov. Lecce-Monteroni, 73100, Lecce, Italy

    Guglielmo Lacorata

  3. Department of Physics and CNR ISC, University of Rome “La Sapienza”, P.le Aldo Moro 5, 00185, Roma, Italy

    Angelo Vulpiani

Authors
  1. Guido Boffetta
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  2. Guglielmo Lacorata
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  3. Angelo Vulpiani
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Corresponding author

Correspondence to Guido Boffetta .

Editor information

Editors and Affiliations

  1. Institute for Mathematical Research, University Putra Malaysia, Serdang, Malaysia

    Santo Banerjee

  2. Dipartimento di Scienze Matematiche, Politecnico di Torino, Torino, Italy

    Lamberto Rondoni

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Boffetta, G., Lacorata, G., Vulpiani, A. (2015). Chaos, Transport and Diffusion. In: Banerjee, S., Rondoni, L. (eds) Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 4. Understanding Complex Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-17037-4_2

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