Mathematical Models of Granular Matter

  • Gianfranco Capriz
  • Paolo Maria Mariano
  • Pasquale Giovine

Part of the Lecture Notes in Mathematics book series (LNM, volume 1937)

Table of contents

  1. Front Matter
    Pages I-XVI
  2. A. V. Bobylev, C. Cercignani, I. M. Gamba
    Pages 23-57
  3. Gianfranco Capriz
    Pages 77-90
  4. A. Barrat, A. Puglisi, E. Trizac, P. Visco, F. van Wijland
    Pages 125-165
  5. Pasquale Giovine
    Pages 167-192
  6. Paolo Maria Mariano
    Pages 193-210
  7. Back Matter
    Pages 211-212

About this book

Introduction

Granular matter displays a variety of peculiarities that distinguish it from other appearances studied in condensed matter physics and renders  its overall mathematical modelling somewhat arduous. Prominent directions in the modelling granular flows are analyzed from various points of view. Foundational issues, numerical schemes and experimental results are discussed. The volume furnishes a rather complete overview of the current research trends in the mechanics of granular matter. Various chapters introduce the reader to different points of view and related techniques. New models describing granular bodies as complex bodies are presented. Results on the analysis of the inelastic Boltzmann equations are collected in different chapters. Gallavotti-Cohen symmetry is also discussed.

Keywords

Granular Matter Kinetic Theory Mechanics of Complex Bodies PAS Statistical Mechanics calculus equation mechanics modeling thermodynamics

Editors and affiliations

  • Gianfranco Capriz
    • 1
    • 2
  • Paolo Maria Mariano
    • 3
  • Pasquale Giovine
    • 4
  1. 1.Department of MathematicsUniversity of PisaPisaItaly
  2. 2.Accademia Nazionale dei LinceiRomaItaly
  3. 3.DICeAUniversity of FlorenceFirenzeItaly
  4. 4.Dipartimento di Meccanica e MaterialiUniversità “Mediterranea” di Reggio CalabriaReggio CalabriaItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-78277-3
  • Copyright Information Springer Berlin Heidelberg 2008
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-78276-6
  • Online ISBN 978-3-540-78277-3
  • Series Print ISSN 0075-8434
  • About this book