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Related papers: The polarization process of ferroelectric material…

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An energy-based model of the ferroelectric polarization process is presented in the current contribution. In an energy-based setting, dielectric displacement and strain (or displacement) are the primary independent unknowns. As an internal…

Numerical Analysis · Mathematics 2023-03-27 Astrid S. Pechstein , Martin Meindlhumer , Alexander Humer

This paper is concerned with modeling the polarization process in ferroelectric media. We develop a thermodynamically consistent model, based on phenomenological descriptions of free energy as well as switching and saturation conditions in…

Numerical Analysis · Mathematics 2020-09-17 Martin Meindlhumer , Astrid Pechstein , Alexander Humer

In present work we calculated the three components of polarization in phenomenological theory framework by consideration of three Euler-Lagrange equations, which include mismatch effect and influence of misfit dislocations, surface tension…

Materials Science · Physics 2007-05-23 M. D. Glinchuk , A. N. Morozovska

In biological and synthetic materials, many important processes involve charges that are present in a medium with spatially varying dielectric permittivity. To accurately understand the role of electrostatic interactions in such systems, it…

Soft Condensed Matter · Physics 2013-09-30 Vikram Jadhao , Francisco J. Solis , Monica Olvera de la Cruz

In present work we calculated the three components of polarization in phenomenological theory framework by consideration of three Euler-Lagrange equations, which include mismatch effect and influence of misfit dislocations, surface…

Soft Condensed Matter · Physics 2015-06-25 M. D. Glinchuk , A. N. Morozovska , E. A. Eliseev

A conceptual problem of the electric-field mediated polarization correlations during a stochastic formation of polarization domain structure in ferroelectrics is addressed by using an exactly solvable stochastic model of polarization…

Materials Science · Physics 2023-10-05 Yuri A. Genenko , Olga Y. Mazur , Leonid I. Stefanovich

The polarization and strain response of ferroelectric materials at fields below the macroscopic coercive field is of a paramount importance for the operation of many electronic devices. The response of real ferroelectric and related…

Materials Science · Physics 2021-06-08 Lukas M. Riemer , Li Jin , Hana Uršič , Mojca Otonicar , Tadej Rojac , Dragan Damjanovic

The calculation of the polarization in ferroelectric thin films is performed using an analytical solution of the Euler-Lagrange differential equation with boundary conditions with different extrapolation lengths of positive sign on the…

Materials Science · Physics 2007-05-23 M. D. Glinchuk , E. A. Eliseev , V. A. Stephanovich , R. Farhi

Recent theoretical and experimental advances in quantum ferroelectrics suggest that ferroelectricity can also emerge in non-polar space group, highlighting the limitations of conventional polar space group criteria in identifying…

Materials Science · Physics 2026-05-15 Wei Luo , Shihan Deng , Hongjun Xiang , Laurent Bellaiche

In a recent letter [Phys. Rev. Lett. {\bf 75}, 2360 (1996)] we briefly discussed the existence and nature of ferroelectric order in positionally disordered dipolar materials. Here we report further results and give a complete description of…

Disordered Systems and Neural Networks · Physics 2009-10-30 G. Ayton , M. J. P. Gingras , G. N. Patey

Ferroelectricity, a hallmark of spontaneous inversion-symmetry breaking, has been a central concept in condensed matter physics and functional materials research, yet recent discoveries are revealing that switchable polarization can emerge…

Materials Science · Physics 2026-05-11 Yudi Yang , Changming Ke , Shi Liu

Ferroelectric materials are characterized by a spontaneous polar distortion. The behavior of such distortions in the presence of free charge is the key to the physics of metallized ferroelectrics in particular, and of structurally-polar…

Initial conditions after quenching from a high-temperature paraelectric phase to a low-temperature ferroelectric phase have a substantial impact on the temporal development and formation of stable polarization domain structures which…

Materials Science · Physics 2023-11-08 Olga Y. Mazur , Leonid I. Stefanovich , Yuri A. Genenko

Invariance under time translation (or stationarity) is probably one of the most important assumptions made when investigating electromagnetic phenomena. Breaking this assumption is expected to open up novel possibilities and result in…

Applied Physics · Physics 2021-10-06 M. S. Mirmoosa , T. T. Koutserimpas , G. A. Ptitcyn , S. A. Tretyakov , R. Fleury

We review the phenomenology of coupled magnetic and electric order parameters for systems in which ferroelectric and incommensurate magnetic order occur simultaneously. We discuss the role that such materials might play in fabricating novel…

Materials Science · Physics 2007-05-23 A. B. Harris , G. Lawes

A thermodynamic theory of ferroelectric thin film multilayers is developed. The free energy function is written down using a multilayer model in which c-domain layers of one ferroelectric material alternate with a-domain layers of a second…

Materials Science · Physics 2007-05-23 M. D. Glinchuk , E. A. Eliseev , V. A. Stephanovich , M. G. Karkut , R. Farhi

In this paper, we investigate a system of parabolic partial differential equations with unknown-dependent coefficients that integrates two models: an anisotropic orientation-adaptive denoising process in image processing and a phase-field…

Analysis of PDEs · Mathematics 2026-05-05 Naotaka Ukai

In this work we study the solvability of the initial boundary value problems, which model a quasi-static nonlinear behavior of ferroelectric materials. Similar to the metal plasticity the energy functional of a ferroelectric material can be…

Analysis of PDEs · Mathematics 2013-01-18 Nataliya Kraynyukova , Sergiy Nesenenko

A self-consistent stochastic model of domain structure formation in a uniaxial ferroelectric, quenched from a high-temperature paraelectric phase to a low-temperature ferroelectric phase, is developed with an account of the applied electric…

Materials Science · Physics 2023-04-26 Olga Y. Mazur , Leonid I. Stefanovich , Yuri A. Genenko

Polarization in ferroelectrics, described by the Landau-Ginzburg Hamiltonian, is considered, based on a multi-dimensional Fokker-Planck equation. This formulation describes the time evolution of the probability distribution function over…

Statistical Mechanics · Physics 2015-06-24 J. Kaupuzs , J. Rimshans , N. F. Smyth
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