Rigidity Theory and Applications

• Corporate Author: SpringerLink (Online service)
• Other Authors: Thorpe, M. F. (Editor), Duxbury, P. M. (Editor)
• Format: Electronic
• Language: English
• Published: Boston, MA : Springer US, 2002.
• Series: Fundamental Materials Research,
• Subjects: Computer science.; Computer programming.; Computers.; Computer science > Mathematics.; Biochemistry.; Physics.; Condensed matter.; Computer Science.; Programming Techniques.; Theory of Computation.; Condensed Matter Physics.; Theoretical, Mathematical and Computational Physics.; Discrete Mathematics in Computer Science.; Biochemistry, general.
• Online Access: View fulltext via EzAccess

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 de...

Table of Contents:

• Rigidity Theory
• Generic and Abstract Rigidity
• Rigidity of Molecular Structures: Generic and Geometric Analysis
• Tensegrity Structures: Why are They Stable?
• The Role of Tensegrity in Distance Geometry
• Applications to Networks
• Comparison of Connectivity and Rigidity Percolation
• Rigidity Percolation on Trees
• Rigidity as an Emergent Property of Random Networks: A Statistical Mechanical View
• Granular Matter Instability: A Structural Rigidity Point of View
• Rigidity and Memory in a Simple Glass
• Constraint Theory, Stiffness Percolation and the Rigidity Transition in Network Glasses
• Topologically Disordered Networks of Rigid Polytopes: Applications to Noncrystalline Solids and Constrained Viscous Sintering
• Rigidity Constraints in Amorphization of Singly- and Multiply-Polytopic Structures
• Floppy Modes in Crystalline and Amorphous Silicates
• Generic Rigidity of Network Glasses
• Rigidity Transition in Chalcogenide Glasses
• Rigidity, Fragility, Bond Models and the ỚSEnergy LandscapeỚ<U+00fd> for Covalent Glassformers
• Entropic Rigidity
• Applications to Proteins
• Molecular Dynamics and Normal Mode Analysis of Biomolecular Rigidity
• Efficient Stochastic Global Optimization for Protein Structure Prediction
• Flexible and Rigid Regions in Proteins
• Flexibly Screening for Molecules Interacting with Proteins
• Studying Macromolecular Motions in a Database Framework: From Structure to Sequence.