Nanoscale Ferroelectrics and Multiferroics 2016
DOI: 10.1002/9781118935743.ch18
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Local Field Engineering Approach for Tuning Dielectric and Ferroelectric Properties in Nanostructured Ferroelectrics and Composites

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“…Preisach model was usually employed for ferroelectrics to describe the polarization as a function on two parameters: applied electric field ( E app ) and maximum applied electric field ( E max ):Pupdownfalse(E,Emaxfalse)=Ptruemax2·false∫EEmaxfalse∫Eapirrev(a,b)dbda2·false∫EEmaxprev(a)da,for the decreasing region of the polarization and:Pdownupfalse(E,Emaxfalse)=Ptruemax+2·false∫EmaxEfalse∫Emaxapirrev(a,b)dbda+2·false∫EmaxEprev(a)da,for the increasing curve of the polarization, where p irrev and p rev represent two switching field distributions (irreversible and reversible components) of the local switching entities (“hysterons”). More details about the Preisach model and the meaning of p irrev and p rev distributions can be found elsewhere . In fact, all the ferroelectric systems are characterized by their particular distributions p irrev and p rev , which can be found by First‐Order Reversal Curves measurements, as demonstrated by many reports in literature …”
Section: Model and Discussionmentioning
confidence: 89%
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“…Preisach model was usually employed for ferroelectrics to describe the polarization as a function on two parameters: applied electric field ( E app ) and maximum applied electric field ( E max ):Pupdownfalse(E,Emaxfalse)=Ptruemax2·false∫EEmaxfalse∫Eapirrev(a,b)dbda2·false∫EEmaxprev(a)da,for the decreasing region of the polarization and:Pdownupfalse(E,Emaxfalse)=Ptruemax+2·false∫EmaxEfalse∫Emaxapirrev(a,b)dbda+2·false∫EmaxEprev(a)da,for the increasing curve of the polarization, where p irrev and p rev represent two switching field distributions (irreversible and reversible components) of the local switching entities (“hysterons”). More details about the Preisach model and the meaning of p irrev and p rev distributions can be found elsewhere . In fact, all the ferroelectric systems are characterized by their particular distributions p irrev and p rev , which can be found by First‐Order Reversal Curves measurements, as demonstrated by many reports in literature …”
Section: Model and Discussionmentioning
confidence: 89%
“…More details about the Preisach model and the meaning of p irrev and p rev distributions can be found elsewhere. 41,42 In fact, all the ferroelectric systems are characterized by their particular distributions p irrev and p rev , which can be found by First-Order Reversal Curves measurements, as demonstrated by many reports in literature. [43][44][45][46] In the present simulations, the Preisach model was applied locally for computing the polarization of each element as a function of the local field and maximum local field estimated previously by FEM.…”
Section: Model and Discussionmentioning
confidence: 89%