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Role of a Free Energy Action Principle in Predicting Microstructure Formation

Published online by Cambridge University Press:  15 February 2011

J.S. Kirkaldy
J.S. Kirkaldy*
Affiliation:
Brockhouse Institute for Materials Research, McMaster University, 1280 Main St. West, Hamilton, Ontario, CanadaL8S 4M1
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Abstract

It is demonstrated that some twenty representative free boundary diffusion-reaction and hydrodynamic patterning systems fall within the compass of the isothermal variational principle where the Lagrangian density is the free energy density g, and η is an appropriate order parameter. To illustrate the universality of the formulation we survey in some detail its degree of equivalence to twenty-one currently adopted or promoted procedures for resolving pattern degeneracies, and critically reappraise theoretical descriptions of grain growth, ordinary diffusion, spinodal decomposition and Ostwald Ripening and their predictive success. The importance of a hierarchy of kinetic scaling laws is discussed. The physics of fluctuations is essential to understanding.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 580: Symposium E – Nucleation & Growth Processes in Materials , 1999 , 3
Copyright
Copyright © Materials Research Society 2000

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