Grain-size effects in ferroelectric switching

Duiker, H. M.; Beale, Paul D.

doi:10.1103/physrevb.41.490

Cited by 142 publications

(81 citation statements)

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“…For cases where such correlations are minimal (as for the case considered herein), it has been quite successful in describing experimental data [3,5], and theoretical generalizations can be readily made [2,6,15,16]. The KAMJ description can be used in calculations of kinetic parameters and activation energies, and it provides information about the nature of the phase transition, i.e.…”

Section: Figmentioning

confidence: 99%

“…My,05.40.+j,82.40.Py,68.10.Gw The kinetic process by which first-order phase transitions take place is an important subject of longstanding experimental and theoretical interest [1]. Nucleation is the most common of first-order transitions, and remains of a great deal of interest [2][3][4][5][6]. There are two fundamentally different cases, homogeneous and heterogeneous nucleation.…”

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Karttunen

Provatas

Ala-Nissilä

et al. 1998

Journal of Statistical Physics

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We study the nucleation and growth of flame fronts in slow combustion. This is modeled by a set of reaction-diffusion equations for the temperature field, coupled to a background of reactants and augmented by a term describing random temperature fluctuations for ignition. We establish connections between this model and the classical theories of nucleation and growth of droplets from a metastable phase. Our results are in good argeement with theoretical predictions.PACS numbers: 64.60. My,05.40.+j,82.40.Py,68.10.Gw The kinetic process by which first-order phase transitions take place is an important subject of longstanding experimental and theoretical interest [1]. Nucleation is the most common of first-order transitions, and remains of a great deal of interest [2][3][4][5][6]. There are two fundamentally different cases, homogeneous and heterogeneous nucleation. Homogeneous nucleation is an intrinsic process where embryos of a stable phase emerge from a matrix of a metastable parent phase due to spontaneous thermodynamic fluctuations. Droplets larger than a critical size will grow while smaller ones decay back to the metastable phase [7,8]. More commonplace in nature is the process of heterogeneous nucleation. There, impurities or inhomogeneities catalyze a transition by making growth energetically favorable.Here we show that the concepts of nucleation and growth can be usefully applied to understand some aspects of slow combustion. We use a phase-field model of two coupled reaction-diffusion equations to study the nucleation and growth of combustion centers in twodimensional systems. Such continuum reaction-diffusion equations have been used extensively in physics, chemistry, biology and engineering to describe a wide range of phenomena from pattern formation to combustion. However, the connection of reaction-diffusion equations to nucleation and interface growth has received little attention.In a recent study of slow combustion in disordered media, Provatas et al. [9,10] showed that flame fronts exhibit a percolation transition, consistent with mean field theory, and that the kinetic roughening of the reaction front in slow combustion is consistent with the KardarParisi-Zhang (KPZ) [11] universality class. In this paper we make a further connection between slow combustion started by spontaneous fluctuations, and the classical theory of the nucleation and growth of droplets from a metastable phase.We generalize the model of Provatas et al. by including an uncorrelated noise source η(x, t), as a function of position x and time t. The model then consists of equations of motion for the temperature field T (x, t) and the local concentration if reactants C(x, t). The temperature satisfiesThe first term on the right-hand-side accounts for thermal diffusion, with diffusion constant D, the second term gives Newtonian cooling due to coupling with a heat bath of background temperature T 0 , with rate constant Γ, and the third term R(T, C) is the exothermic reaction rate as a function of temperature and concentration o...

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Section: Figmentioning

confidence: 99%

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Untitled

Karttunen

Provatas

Ala-Nissilä

et al. 1998

Journal of Statistical Physics

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“…Polarization fatigue has been extensively investigated in many previous works using various models. [1][2][3][4][5][6][7][8][9][10] Domain pinning was reported and has been thought to be an important cause of the fatigue of ferroelectric materials, and the major mechanisms of domain pinning proposed can be classified into two categories: firstly, the defects with charges, 1 such as oxygen vacancies, electronic or ionic charges etc. [2][3][4] and secondly, the mechanical fatigue.…”

Section: Introductionmentioning

confidence: 99%

“…[2][3][4] and secondly, the mechanical fatigue. [5][6][7][8] Most of works, using the model of space charges and electronic properties to interpret the phenomenon of ferroelectric fatigue, suggest that electronic or ionic charges are trapped at domain boundaries [5][6][7] , Such as Warren 5 suggests that fatigue is associated with the trapping of electronic charge and atomic-scale distortions in the perovskite oxygen octahedron.…”

Section: Introductionmentioning

confidence: 99%

Domain pinning behavior of ferroelectric Pb1−xSrxTiO3 ceramics

Chou

Hou

Yeh

2005

Journal of the European Ceramic Society

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“…More recently the switching kinetics, especially in ferroelectric ceramics with prospective applications for computer memories, have been investigated in great detail. [6][7][8] The range of fields investigated in PZT thin films is high ͑200-1000 kV/cm͒ and the switching time dependence of systems such as the two-dimensional Ising model 7 and the finite size Kolmogorov-Avrami 8 model were also investigated.…”

Section: Introductionmentioning

confidence: 99%

Microscopic characterization of low-field switching in ferroelectric triglycine sulfate

Aragó

Castillo

Noheda

et al. 1998

Journal of Applied Physics

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Low-field ͑Ͻ1 kV/cm͒ switching has been investigated for thin plates (0.06ϽdϽ0.15 cm) of triglycine sulfate by means of field pulses with a linear rise time. The dependence of the maximum current density, j m , with the field value E m at which this maximum occurs is j m ХB 1 (E m ϪE cw1 ) 3/2 , for 0.3ϽE m Ͻ0.5 kV/cm, and j m ХB 2 (E m ϪE cw2 ), for 0.5ϽE m Ͻ1.0 kV/cm. This is satisfactorily explained taking into account the dominant role played by sidewise and forward domain wall motion, respectively.

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Grain-size effects in ferroelectric switching

Cited by 142 publications

References 9 publications

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Domain pinning behavior of ferroelectric Pb1−xSrxTiO3 ceramics

Microscopic characterization of low-field switching in ferroelectric triglycine sulfate

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