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    THERMOMECHANICS OF PHASE TRANSITIONS IN CLASSICAL FIELD THEORY

    by A Romano (Univ. Napoli)

    The complex processes of state changes can be interpreted by resorting to Statistical Quantum Mechanics. However, it is well known that a phenomenological description of state changes can be obtained by using the classical continuum theory. This book supplies a panoramic picture of known and new mathematical models which are suitable to describe phase changes from a macroscopic view point. All these models are derived from the theory of continuous systems with a nonmaterial interface and allow to describe processes of solidification, melting, and vaporization. The nonlocal continuum theory of systems with a non material interface provides a more complex mathematical model in dealing with crystal growth either in a pure melt or in a mixture. A chapter is devoted to the analysis of phase changes in ferroelectric and ferromagnetic crystals.

     
    Contents:
    • Geometry of Surfaces
    • Kinematics of Surfaces
    • Balance Laws for a Continuous System with an Interface
    • Phase Equilibrium
    • Stationary and Time Dependent Problems
    • Phase Changes in Mixtures
    • Crystal Growth
    • Systems with Interfaces and Ferroelectricity
    • References
     
    Readership: Applied mathematicians.
     
    “… panoramic picture of known and new mathematical models which are suitable to describe phase changes from a macroscopic view point.”
    Mathematical Abstracts

     
    272pp    Pub. date: Nov 1993  
    ISBN:   978-981-02-1398-5
    981-02-1398-0
       US$54 / £40

     


     

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    Updated on 20 November 2009