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European Congress of Mathematics pp 92–115Cite as

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Microstructures, Phase Transitions and Geometry

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Part of the book series: Progress in Mathematics ((PM,volume 169))

Abstract

Microstructures are structures on a scale between the atomic scale and the macroscopic scale on which we usually make observations. They are abundant in natural and man-made materials, and often the microstructure optimizes a material’s properties (maximum strength at given weight, minimal energy, maximum or minimum permeability, … ). Some materials can change their internal microstructure and hence their properties in response to external influences. They are sometimes referred to as ‘smart materials’and are of great technological interest.

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  1. Max Planck Institute for Mathematics in the Sciences, Inselstr. 22-26, 04103, Leipzig, Germany

    Stefan Müller

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  1. Stefan Müller
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  1. Hungarian Academy of Sciences, Mathematical Institute, Reáltanoda str. 13-15, H-1053, Budapest, Hungary

    A. Balog , G. O. H. Katona  & D. Sza’sz ,  & 

  2. Mathematical Institute, Technical University of Budapest, H-1521, Budapest, Hungary

    A. Recski

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Müller, S. (1998). Microstructures, Phase Transitions and Geometry. In: Balog, A., Katona, G.O.H., Recski, A., Sza’sz, D. (eds) European Congress of Mathematics. Progress in Mathematics, vol 169. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8898-1_5

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