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Rigidity Theory and Applications

  • Book
  • © 2002

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Editors:
  1. M. F. Thorpe

    1. Michigan State University, East Lansing

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  2. P. M. Duxbury

    1. Michigan State University, East Lansing

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Fundamental Materials Research (FMRE)

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Table of contents (22 chapters)

  1. Front Matter

    Pages i-xi
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  2. Rigidity Theory

    1. Generic and Abstract Rigidity

      • Brigitte Servatius, Herman Servatius
      Pages 1-19

    2. Rigidity of Molecular Structures: Generic and Geometric Analysis

      • Walter Whiteley
      Pages 21-46

    3. Tensegrity Structures: Why are They Stable?

      • R. Connelly
      Pages 47-54

    4. The Role of Tensegrity in Distance Geometry

      • Timothy F. Havel
      Pages 55-68

  3. Applications to Networks

    1. Comparison of Connectivity and Rigidity Percolation

      • Cristian F. Moukarzel, Phillip M. Duxbury
      Pages 69-79

    2. Rigidity Percolation on Trees

      • P. L. Leath, Chen Zeng
      Pages 81-93

    3. Rigidity as an Emergent Property of Random Networks: A Statistical Mechanical View

      • Paul M. Goldbart
      Pages 95-124

    4. Granular Matter Instability: A Structural Rigidity Point of View

      • Cristian F. Moukarzel
      Pages 125-142

    5. Rigidity and Memory in a Simple Glass

      • P. Chandra, L. B. Ioffe
      Pages 143-153

    6. Constraint Theory, Stiffness Percolation and the Rigidity Transition in Network Glasses

      • J. C. Phillips
      Pages 155-171

    7. Topologically Disordered Networks of Rigid Polytopes: Applications to Noncrystalline Solids and Constrained Viscous Sintering

      • Prabhat K. Gupta
      Pages 173-190

    8. Rigidity Constraints in Amorphization of Singly- and Multiply-Polytopic Structures

      • Linn W. Hobbs, C. Esther Jesurum, Bonnie Berger
      Pages 191-216

    9. Floppy Modes in Crystalline and Amorphous Silicates

      • Martin T. Dove, Kenton D Hammonds, Kostya Trachenko
      Pages 217-238

    10. Generic Rigidity of Network Glasses

      • M.F. Thorpe, D.J. Jacobs, N.V. Chubynsky, A.J. Rader
      Pages 239-277

    11. Rigidity Transition in Chalcogenide Glasses

      • P. Boolchand, Xingwei Feng, D. Selvanathan, W.J. Bresser
      Pages 279-295

    12. Rigidity, Fragility, Bond Models and the “Energy Landscape” for Covalent Glassformers

      • C. A. Angell
      Pages 297-314

    13. Entropic Rigidity

      • Béla Joós, Michael Plischke, D.C. Vernon, Z. Zhou
      Pages 315-328

  4. Applications to Proteins

    1. Molecular Dynamics and Normal Mode Analysis of Biomolecular Rigidity

      • David A. Case
      Pages 329-344

    2. Efficient Stochastic Global Optimization for Protein Structure Prediction

      • Yingyao Zhou, Ruben Abagyan
      Pages 345-356
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Keywords

About this book

Although rigidity has been studied since the time of Lagrange (1788) and Maxwell (1864), it is only in the last twenty-five years that it has begun to find applications in the basic sciences. The modern era starts with Laman (1970), who made the subject rigorous in two dimensions, followed by the development of computer algorithms that can test over a million sites in seconds and find the rigid regions, and the associated pivots, leading to many applications. This workshop was organized to bring together leading researchers studying the underlying theory, and to explore the various areas of science where applications of these ideas are being implemented.

Editors and Affiliations

  • Michigan State University, East Lansing

    M. F. Thorpe, P. M. Duxbury

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