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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."
| 272pp |
Pub. date: Nov 1993 |
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