Journal article
Thermodynamic Aspects of Equilibrium Shape and Growth of Crystalline Films with Electromechanical Interaction
Ferroelectrics, v 342(1)
01 Oct 2006
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
In recent decades, the theory and applications of the Gibbs equilibrium thermodynamics of heterogeneous systems have been advanced in several directions. In particular, the stability theory of heterogeneous systems with solid phases has already been proven valuable in many traditional and novel areas, including the ones where stress driven rearrangement destabilization is accompanied by electrostatic and magnetostatic fields. We believe that these areas would benefit from an appropriate extension of the Gibbs thermodynamic principles that combine nonlinear elastic effects with electrostatics and magnetostatics. We present the exact nonlinear equilibrium equations for heterogeneous systems with nonlinear phases. We then derive the second energy variation and present its applications to the problems of stability of heterogeneous systems with electromechanical interaction of solid components. In particular, we discuss the problems of equilibrium shapes and stability of deformable crystalline conductors, dielectrics, and ferroelectrics. Finally, we discuss applications of the general theory to the classical problem of Thomson of phase nucleation on conductors.
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Details
- Title
- Thermodynamic Aspects of Equilibrium Shape and Growth of Crystalline Films with Electromechanical Interaction
- Creators
- P Grinfeld - Department of Mathematics , Drexel UniversityM Grinfeld - The US Army Research Laboratory , Aberdeen Proving Ground
- Publication Details
- Ferroelectrics, v 342(1)
- Publisher
- Taylor & Francis Group
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000241862100010
- Scopus ID
- 2-s2.0-75449111626
- Other Identifier
- 991014878128504721
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- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Materials Science, Multidisciplinary
- Physics, Condensed Matter