On the change in the mechanism of the phase transition in a ferroelectric inclusion of a ferroelectric-dielectric nanocomposite as a function of its size

Nechaev, V. N.; Viskovatykh, A. V.

doi:10.1134/s1063783415040198

Cited by 10 publications

(5 citation statements)

References 5 publications

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“…This behavior is characteristic of the ferroelectric devices (see, e.g., [18]), and appears also in the case of simulations from T (2) h , as indicates Figure 3(b). For instance, the jumps schematized as below occur from T h .…”

Section: Numerical Investigations Of Statessupporting

confidence: 69%

“…Proof. If of course there exists (P n , ϕ n ) satisfying (18), then by adding the first relation of (18) to the second one multiplied by κ 16π 2 , we obtain:…”

Section: Existence Of Weak Solutionsmentioning

confidence: 99%

“…There exists (P n , ϕ n ) ∈ W such that f n (P n , ϕ n ) = (P n , ϕ n ). We have, by choosing (P n , ϕ n ) as a test-function in (18), that:…”

Section: Existence Of Weak Solutionsmentioning

confidence: 99%

See 2 more Smart Citations

Numerical modeling and investigations of 3D devices with ferroelectric layer fully embedded in a paraelectric environment

Martelli¹,

Mefire²

2018

Computers & Mathematics with Applications

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We investigate three-dimensional devices made up of a ferroelectric layer that is fully embedded in a paraelectric environment, by modeling based on the Ginzburg-Landau formalism as well as on the Electrostatics equations, and boundary conditions that are suitable for applications. From finite element approximations and inexact Newton techniques for solving numerically the resulting nonlinear system, we develop two numerical protocols. The first protocol concerns a determination of states related to the system and incorporates a process of heating as well as of cooling of devices, in terms of the temperature, whereas the second one is devoted to the existence study of hysteresis loops. The efficiency of these protocols is particularly emphasized from numerical simulations.

show abstract

Section: Numerical Investigations Of Statessupporting

confidence: 69%

“…Proof. If of course there exists (P n , ϕ n ) satisfying (18), then by adding the first relation of (18) to the second one multiplied by κ 16π 2 , we obtain:…”

Section: Existence Of Weak Solutionsmentioning

confidence: 99%

See 1 more Smart Citation

Numerical modeling and investigations of 3D devices with ferroelectric layer fully embedded in a paraelectric environment

Martelli¹,

Mefire²

2018

Computers & Mathematics with Applications

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“…Equations (2) were also studied in [37] for the ellipsoidal ND of triglicine sulfate (TGS), having similar dielectric properties. In particular the temperature-induced CCS-MDS transition was observed.…”

mentioning

confidence: 99%

Multidomain switching in the ferroelectric nanodots

Martelli¹,

Mefire²,

Luk’yanchuk³

2015

EPL

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Controlling the polarization switching in the ferroelectric nanocrystals, nanowires and nanodots has an inherent specificity related to the emergence of depolarization field that is associated with the spontaneous polarization. This field splits the finite-size ferroelectric sample into polarization domains. Here, based on 3D numerical simulations, we study the formation of 180 • polarization domains in a nanoplatelet, made of uniaxial ferroelectric material, and show that in addition to the polarized monodomain state, the multidomain structures, notably of stripe and cylindrical shapes, can arise and compete during the switching process. The multibit switching protocol between these configurations may be realized by temperature and field variations.

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“…Thus, t c corresponds to the critical temperature of the material system. This behavior, characteristic of ferroelectric devices [14], appears also in the context of simulations from T (1) h . In particular, these same four profiles persist in this context with similar temperature ranges and transitions; the most enduring profile with nonzero polarization is also the one corresponding to (2BP).…”

Section: Numerical Study Of State Switchingsmentioning

confidence: 53%

Numerical Study of Switching Behavior in Finite Media Subject to 3D Ferroelectric-Paraelectric Interactions and Inspection of Calibration Effects

Mefire¹

2021

NMTMA

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We study numerically the switching behavior aspects and calibration effects relative to finite media embedding fully a three-dimensional ferroelectric layer in a paraelectric environment. Our approach makes use of the Ginzburg-Landau formalism in combination with the electrostatics equations. The associated discrete nonlinear system, which arises from finite element approximations, is solved by an inexact Newton method. The resulting numerical experiments highlight the effects of a balance between the physical and geometrical parameters. In particular, the same state switchings can be retrieved from different ferroelectric layer sizes by acting upon the physical characteristic of the paraelectric environment. Ferroelectric platelet samples are in parallelepipedic and cylindrical configurations involved in these experiments.

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On the change in the mechanism of the phase transition in a ferroelectric inclusion of a ferroelectric-dielectric nanocomposite as a function of its size

Cited by 10 publications

References 5 publications

Numerical modeling and investigations of 3D devices with ferroelectric layer fully embedded in a paraelectric environment

Numerical modeling and investigations of 3D devices with ferroelectric layer fully embedded in a paraelectric environment

Multidomain switching in the ferroelectric nanodots

Numerical Study of Switching Behavior in Finite Media Subject to 3D Ferroelectric-Paraelectric Interactions and Inspection of Calibration Effects

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