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Statistical Thermodynamics and Differential Geometry of Microstructured Materials

  • Conference proceedings
  • © 1993

Overview

Editors:
  1. H. Ted Davis

    1. Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, USA

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  2. Johannes C. C. Nitsche

    1. School of Mathematics, University of Minnesota, Minneapolis, USA

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    You can also search for this editor in PubMed   Google Scholar

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

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Table of contents (11 papers)

  1. Front Matter

    Pages i-xv
    Download chapter PDF

  2. The Geometric Calculus of Variations and Modelling Natural Phenomena

    • Fred Almgren
    Pages 1-5

  3. Hyperbolic Statistical Analysis

    • Jerry Donato
    Pages 7-13

  4. A Crystallographic Approach to 3-Periodic Minimal Surfaces

    • Elke Koch, Werner Fischer
    Pages 15-48

  5. The Conformation of Fluid Vesicles

    • D. M. Kroll, G. Gompper
    Pages 49-55

  6. Harmonic Maps for Bumpy Metrics

    • Libin Mou
    Pages 57-68

  7. Periodic Surfaces That are Extremal for Energy Functionals Containing Curvature Functions

    • Johannes C. C. Nitsche
    Pages 69-98

  8. The Least Gradient Method for Computing Area-Minimizing Hypersurfaces

    • Harold R. Parks
    Pages 99-116

  9. Modelling of Homogeneous Sinters and Some Generalizations of Plateau’s Problem

    • J. Christian Schön, Peter Salamon
    Pages 117-121

  10. A Generalization of a Theorem of Delaunay on Constant Mean Curvature Surfaces

    • Brian Smyth
    Pages 123-130

  11. Willmore Surfaces and Computers

    • Ivan Sterling
    Pages 131-136

  12. Difference Versus Gaussian Curvature Energies; Monolayer Versus Bilayer Curvature Energies; Applications to Vesicle Stability

    • HÃ¥kan Wennerström, David M. Anderson
    Pages 137-152
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Keywords

About this book

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.

Editors and Affiliations

  • Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, USA

    H. Ted Davis

  • School of Mathematics, University of Minnesota, Minneapolis, USA

    Johannes C. C. Nitsche

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