Chapter 26. The Role of Chaos for Inert and Reacting Transport

  1. M. Toda3,
  2. T. Komatsuzaki4,
  3. T. Konishi5,
  4. R. S. Berry6 and
  5. S. A. Rice7
  1. Massimo Cencini1,
  2. Angelo Vulpiani1 and
  3. Davide Vergni2

Published Online: 27 JAN 2005

DOI: 10.1002/0471712531.ch26

Geometric Structures of Phase Space in Multidimensional Chaos: Applications to Chemical Reaction Dynamics in Complex Systems, Volume 130

Geometric Structures of Phase Space in Multidimensional Chaos: Applications to Chemical Reaction Dynamics in Complex Systems, Volume 130

How to Cite

Cencini, M., Vulpiani, A. and Vergni, D. (2005) The Role of Chaos for Inert and Reacting Transport, in Geometric Structures of Phase Space in Multidimensional Chaos: Applications to Chemical Reaction Dynamics in Complex Systems, Volume 130 (eds M. Toda, T. Komatsuzaki, T. Konishi, R. S. Berry and S. A. Rice), John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471712531.ch26

Editor Information

  1. 3

    Physics Department, Nara Women's University, Nara, 630-8506, Japan

  2. 4

    Nonlinear Science Laboratory, Department of Earth and Planetary Sciences, Faculty of Science, Kobe University, Nada, Kobe, 657-8501, Japan

  3. 5

    Department of Physics, Nagoya University, Nagoya, 464-8602, Japan

  4. 6

    Department of Chemistry, The University of Chicago, Chicago, Illinois 60637, USA

  5. 7

    Department of Chemistry and The James Franck Institute, The University of Chicago, Chicago, Illinois 60637 USA

Author Information

  1. 1

    Dipartimento di Fisica, Università di Roma “la Sapienza” and Center for Statistical Mechanics and Complexity INFM UdR Roma 1, Piazzale Aldo Moro 5, I-00185 Roma, Italy

  2. 2

    Istituto Applicazioni del Calcolo, CNR Viale del Policlinico 137, I-00161 Roma, Italy

Publication History

  1. Published Online: 27 JAN 2005
  2. Published Print: 21 JAN 2005

Book Series:

  1. Advances in Chemical Physics

Book Series Editors:

  1. Stuart A. Rice

Series Editor Information

  1. Department of Chemistry and The James Franck Institute, The University of Chicago, Chicago, Illinois 60637 USA

ISBN Information

Print ISBN: 9780471711582

Online ISBN: 9780471712534

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Keywords:

  • transport;
  • anomalous diffusion;
  • front propagation;
  • advection-reaction-diffusion equation

Summary

We investigate passive transport of inert and reacting substances in fluid flows. As for inert transport we mainly focus on the Lagrangian properties. In particular, we study the single particle dynamics in order to investigate the conditions for observing standard or anomalous diffusion. This allows for understanding the large scale motion of the concentration field. As for reactive transport we discuss the asymptotic properties of the front propagation in the case of cellular flows. The goal is to investigate the front speed dependence on the stirring intensity. Moreover, we discuss front propagation in the geometrical optics limit, i.e., the limit of very fast reaction and sharp front. We shall also comment about the role of Lagrangian chaos on the propagation properties.