Statistical Thermodynamics and Differential Geometry of Microstructured Materials

  • H. Ted Davis
  • Johannes C. C. Nitsche

Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 51)

About these proceedings

Introduction

Substances possessing heterogeneous microstructure on the nanometer and micron scales are scientifically fascinating and technologically useful. Examples of such substances include liquid crystals, microemulsions, biological matter, polymer mixtures and composites, vycor glasses, and zeolites. In this volume, an interdisciplinary group of researchers report their developments in this field. Topics include statistical mechanical free energy theories which predict the appearance of various microstructures, the topological and geometrical methods needed for a mathematical description of the subparts and dividing surfaces of heterogeneous materials, and modern computer-aided mathematical models and graphics for effective exposition of the salient features of microstructured materials.

Keywords

Gaussian curvature Mean curvature Minimal surface crystallography curvature differential geometry geometric calculus statistical thermodynamics thermodynamics

Editors and affiliations

  • H. Ted Davis
    • 1
  • Johannes C. C. Nitsche
    • 2
  1. 1.Department of Chemical Engineering and Materials ScienceUniversity of MinnesotaMinneapolisUSA
  2. 2.School of MathematicsUniversity of MinnesotaMinneapolisUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4613-8324-6
  • Copyright Information Springer-Verlag New York 1993
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-8326-0
  • Online ISBN 978-1-4613-8324-6
  • Series Print ISSN 0940-6573
  • About this book
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