铁电纳米粒子尺寸分布函数对其电热和热释电性能的影响
The influence of the distribution function of ferroelectric nanoparticles sizes on their electrocaloric and pyroelectric properties
摘要：
我们考虑一个模型的纳米复合材料的基础上非相互作用的球形单畴铁电纳米粒子的各种尺寸嵌入在一个电介质矩阵。这些纳米颗粒的尺寸分布函数被选择为从最小到最大半径的高斯分布的一部分（截断正态分布）。对于这样的纳米复合材料，我们计算的电极化的强度，电热温度的变化，和介电常数的外部电场，其中具有特征形式的磁滞回线的可逆部分的依赖性。然后，我们分析了相对于颗粒尺寸分布参数的磁滞回线的形状的变化。我们证明，对于相同的均方色散，reversing极化，矫顽场，介电常数的最大值，最大值和最小值的电热温度变化最强烈地依赖于最可能的半径，适度地依赖于分散，并有最弱的依赖于纳米粒子的最大半径。我们计算和分析了热释电优值与复合材料中纳米颗粒平均半径的关系。的依赖性确认诱导的纳米颗粒的大小，其特征在于由一个最大值附近的颗粒，其值的存在下，随着增加的分散的分布函数的存在下，诱导的相变的存在。
英文摘要：
We consider a model of a nanocomposite based on non-interacting spherical single-domain ferroelectric nanoparticles of various sizes embedded in a dielectric matrix. The size distribution function of these nanoparticles is selected as a part of the Gaussian distribution from minimum to maximum radius (truncated normal distribution). For such nanocomposites, we calculate the dependences of the reversible part of the electric polarization, the electrocaloric temperature change, and the dielectric permittivity on the external electric field, which have the characteristic form of hysteresis loops. We then analyze the change in the shape of the hysteresis loops relative to the particle size distribution parameters. We demonstrate that for the same mean-square dispersion, the remanent polarization, coercive field, dielectric permittivity maximums, maximums and minimums of the electrocaloric temperature change depend most strongly on the most probable radius, moderately depend on the dispersion, and have the weakest dependency on the nanoparticle maximum radius. We calculated and analyzed the dependences of pyroelectric figures of merit on the average radius of the nanoparticles in the composite. The dependences confirm the presence of a phase transition induced by the size of the nanoparticles, which is characterized by the presence of a maxima near the critical average radius of the particles, the value of which increases with increasing dispersion of the distribution function.
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