By J. Grindlay
ISBN-10: 0080063624
ISBN-13: 9780080063621
''In this monograph the writer describes the foundation and derivation of the macroscopic or phenomenological thought of the elastic, dielectric and thermal homes of crystals as utilized within the box of ferroelectricity. lots of the effects and ideas defined are scattered during the literature of this topic and this ebook provides them including their actual history in a single reference. The dialogue is specific to the speculation required to explain the homes of homogeneous specimens topic to low frequency fields.'' bought it?
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Additional info for An Introduction to the Phenomenological Theory of Ferroelectricity
Sample text
5) div / ) = 0. 6) give the following boundary conditions: (i) At a dielectric-vacuum boundary the normal component of D , viz. ii, and the tangential component E, viz. EXn, are con tinuous across the boundary. (ii) At a dielectric-conductor boundary D^n = ω and £ X i i = 0, where n is a unit vector parallel to the outward normal to the conductor surface. 3) is valid only if the associated frequencies are much smaller than IncjL, where c is the speed of light in vacuo and L is the maximum dimension of the system.
F r o m these equations we get the following identities: (dTA /δΤβ\ (ΘΤΛ \dSß) \dS^)' \dDi) _ ι dEj \ \ 9 5 j ' Thus not only are the fields Γ„, Ei coupled to the fields Z), but the couplings, as measured by the partial derivatives appearing in eqn. 22), are interrelated. e. a truncated Taylor series) in the arguments S^, Df. Consider the following quadratic representation: where the superscript 0 indicates that the quantities enclosed in the brackets are the values of the functions for = 0 , Z); = 0 .
Since Xi = u¡-{-X¡ and the are independent of time, Xf = ü¡; hence eqn. 2) may be replaced by This is a field equation connecting the acceleration components üi with the space derivatives of the components of the stress tensor. The Tji satisfy the boundary condition t? 4) 7= 1 where is the mechanical stress applied to the surface V and the n¡ are the direction cosines of the outward normal to V [eqn. 14)]. In the electrodynamic quasi-static approximation [assumption (ii)] the fields Ε and D satisfy the field equations V ; .
An Introduction to the Phenomenological Theory of Ferroelectricity by J. Grindlay
by Daniel
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