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Series on Advances in Mathematics for Applied Sciences - Vol. 13

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 981-02-1398-0 US$51 / £35


Copyright © 2008 World Scientific Publishing Co. All rights reserved.
Updated on 24 July 2008