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The Stochastic Geometry of the Crystallization Process of Polymers

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Free Boundary Problems

Part of the book series: ISNM International Series of Numerical Mathematics ((ISNM,volume 147))

Abstract

A Johnson—Mehl tessellation arises as a random division of a given bounded region in a d-dimensional Euclidean space, generated by a stochastic birth-and-growth process, also known as a germ-grain process in stochastic geometry. A typical example is the crystallization of a polymer from an amorphous liquid phase by cooling; in this case a grain (crystal) is formed by growth of a germ (nucleus) born at a random time and space location.

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Author information

Authors and Affiliations

  1. MIRIAM and Department of Mathematics, University of Milan, via Saldini 50, Milano, 20133, Italy

    Alessandra Micheletti

  2. MIRIAM and Department of Mathematics, University of Milan, via Saldini 50, Milano, 20133, Italy

    Vincenzo Capasso

Authors
  1. Alessandra Micheletti
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  2. Vincenzo Capasso
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Editor information

Editors and Affiliations

  1. Dipartimento di Matematica, Università di Pavia, Via Ferrata, 1, Pavia, 27100, Italy

    Pierluigi Colli

  2. Dipartimento di Matematica, Università di Milano, Via Saldini, 50, Milano, 20133, Italy

    Claudio Verdi

  3. Dipartimento di Matematica, Via Sommarive, 14, Povo di Trento, 38050, Italy

    Augusto Visintin

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© 2003 Springer Basel AG

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Micheletti, A., Capasso, V. (2003). The Stochastic Geometry of the Crystallization Process of Polymers. In: Colli, P., Verdi, C., Visintin, A. (eds) Free Boundary Problems. ISNM International Series of Numerical Mathematics, vol 147. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7893-7_16

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  • DOI: https://doi.org/10.1007/978-3-0348-7893-7_16

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9613-9

  • Online ISBN: 978-3-0348-7893-7

  • eBook Packages: Springer Book Archive

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