Simulation on dielectric susceptibility and domain evolution of relaxor ferroelectrics

Zhang, Yanfei; Wang, Chunlei; Li, Jichao; Zhao, Mingwen; Zhang, Jialiang

doi:10.1016/j.physb.2008.02.011

Cited by 13 publications

(5 citation statements)

References 18 publications

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“…Inserting infinite sequence solutions, determined by the known solutions (22) and Bäcklund transformation (41) for the first kind of elliptic function, into Eq. (55), we find the infinite sequence compact soliton solutions of triangle function type to the generalized pentavalent KdV equation as follows.…”

Section: Case Iii(c) Compact Soliton Solutions Of Triangle Function Typementioning

confidence: 99%

Constructing infinite sequence exact solutions of nonlinear evolution equations

Taogetusang

Narenmandula

2011

Chinese Phys. B

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Section: Case Iii(c) Compact Soliton Solutions Of Triangle Function Typementioning

confidence: 99%

Constructing infinite sequence exact solutions of nonlinear evolution equations

Taogetusang

Narenmandula

2011

Chinese Phys. B

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“…With the first iteration of the formula of nonlinear superposition (26), we obtain the following complexiton solutions of Eq. ( 2):…”

Section: The Solutions Of Riccati Equation (2)mentioning

confidence: 99%

New application to Riccati equation

2010

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To seek new infinite sequence of exact solutions to nonlinear evolution equations, this paper gives the formula of nonlinear superposition of the solutions and Bäcklund transformation of Riccati equation. Based on the tanh-function expansion method and homogenous balance method, new infinite sequence of exact solutions to Zakharov–Kuznetsov equation, Karamoto–Sivashinsky equation and the set of (2+1)-dimensional asymmetric Nizhnik–Novikov–Veselov equations are obtained with the aid of symbolic computation system Mathematica. The method is of significance to construct infinite sequence exact solutions to other nonlinear evolution equations.

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“…12 As shown experimentally, these dipoles can be unidirectionally aligned, for example, by a long-time poling process. 13,14 Due to the high activation barrier for oxygen vacancy migration, these defect dipoles are almost non-switchable in the ferroelectric phase around room temperature on time-scales relevant for cooling devices. 15,16 There are numerous studies dealing with the influence of defect dipoles on material properties (see the review article 17).…”

Section: Introductionmentioning

confidence: 99%

Tailoring the Electrocaloric Effect by Internal Bias Fields and Field Protocols

Albe

et al. 2018

Phys. Rev. Applied

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In acceptor doped ferroelectrics and in ferroelectric films and nanocomposites, defect dipoles, strain gradients, and the electric boundary conditions at interfaces and surfaces often impose internal bias fields. In this work we delicately study the impact of internal bias fields on the electrocaloric effect (ECE), utilizing an analytical model and ab initio-based molecular dynamics simulations. We reveal the complex dependency of the ECE on field protocol and relative strength of internal and external fields. The internal fields may even reverse the sign of the response (inverse or negative ECE). We explore the transition between conventional and inverse ECE and discuss reversible and irreversible contributions to the field-induced specific entropy change. Most importantly, we predict design routes to optimize the cooling and heating response for small external fields by the combination of internal field strengths and the field loading protocol. arXiv:1805.04380v2 [cond-mat.mtrl-sci] 14 May 2018 P end Pinit EdP , with P init and P end the initial and final polarization, respectively. For positive E, the work is thus positive if |P | increases, while negative if |P | decreases, and vice versa for negative E. Outside the hysteretic region (e.g. between A and B or E and

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Simulation on dielectric susceptibility and domain evolution of relaxor ferroelectrics

Cited by 13 publications

References 18 publications

Constructing infinite sequence exact solutions of nonlinear evolution equations

Constructing infinite sequence exact solutions of nonlinear evolution equations

New application to Riccati equation

Tailoring the Electrocaloric Effect by Internal Bias Fields and Field Protocols

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