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SpringerBriefs in Physics

Transport and Fluctuations in Granular Fluids

From Boltzmann Equation to Hydrodynamics, Diffusion and Motor Effects

Authors: Puglisi, Andrea

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eBook $39.99
price for USA (gross)
valid through October 16, 2017
  • ISBN 978-3-319-10286-3
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  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA
valid through October 16, 2017
  • ISBN 978-3-319-10285-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This brief offers a concise presentation of granular fluids from the  point of view of non-equilibrium statistical physics. The emphasis is on fluctuations, which can be large in granular fluids due to the small system size (the number of grains is many orders of magnitude smaller than in molecular fluids).

Firstly, readers will be introduced to the most intriguing experiments on fluidized granular fluids. Then granular fluid theory, which goes through increasing levels of coarse-graining and emerging collective phenomena, is described. Problems and questions are initially posed at the level of kinetic theory, which describes particle densities in full or reduced phase-space. Some answers become clear through hydrodynamics, which describes the evolution of slowly evolving fields. Granular fluctuating hydrodynamics, which builds a bridge to the most recent results in non-equilibrium statistical mechanics, is also introduced. Further and more interesting answers come when the dynamics of a massive intruder are discussed. Such non-equilibrium stochastic process offers a more precise and compact picture of the features foreseen at the more detailed levels of description. The dynamics of an intruder diffusing in a granular fluid reveal the clearest connection with recent theories on stochastic energetics and stochastic thermodynamics.

Reviews

“This book addresses nonequilibrium phenomena in fluidized granular materials. … provides a selection of starting points by citing review articles and reference books. … This short book is very pleasant and accessible to graduate students interested in applied mathematics and physics.” (Benoît P. Desjardins, Mathematical Reviews, February, 2016)


Table of contents (5 chapters)

  • Granular Fluids: From Everyday Life to the Lab

    Puglisi, Andrea

    Pages 1-18

  • Boltzmann Equation: A Gas of Grains

    Puglisi, Andrea

    Pages 19-52

  • Hydrodynamics: A Sea of Grains

    Puglisi, Andrea

    Pages 53-80

  • Tracer’s Diffusion: Swimming Through the Grains

    Puglisi, Andrea

    Pages 81-95

  • The Arrow of Time: Past and Future of Grains

    Puglisi, Andrea

    Pages 97-108

Buy this book

eBook $39.99
price for USA (gross)
valid through October 16, 2017
  • ISBN 978-3-319-10286-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA
valid through October 16, 2017
  • ISBN 978-3-319-10285-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Transport and Fluctuations in Granular Fluids
Book Subtitle
From Boltzmann Equation to Hydrodynamics, Diffusion and Motor Effects
Authors
Series Title
SpringerBriefs in Physics
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s) 2018
eBook ISBN
978-3-319-10286-3
DOI
10.1007/978-3-319-10286-3
Softcover ISBN
978-3-319-10285-6
Series ISSN
2191-5423
Edition Number
1
Number of Pages
XVI, 118
Number of Illustrations and Tables
11 b/w illustrations, 5 illustrations in colour
Topics