论文标题
不均匀固体电解质的电荷区域的电荷和电场分布
Charge and electric field distributions in the interelectrode region of an inhomogeneous solid electrolyte
论文作者
论文摘要
研究了一个固体离子导体在互电去区域中具有阳离子电导率的固体导体。由于它们的尺寸较大，该阴离子被认为是固定的，并形成了均匀的中和电背景。该模型可用于描述陶瓷导体的特性。对于此类系统的统计机械描述，其特征是短范围的范德华相互作用和远程库仑相互作用，一种结合了集体变量方法的方法和平均细胞电位的方法。这种形式主义用于我们以前的工作[Bokun G.，Kravtsiv I.，Holovko M.，Vikhrenko V.，Di Caprio D.，Condens。物质物理学，2019，29，3351]到同质状态，在目前的工作中，将外部电场引起的不均匀案例扩展到了。结果，平均单元电势成为密度场的功能，可以通过积分方程的封闭系统来描述。我们研究了该问题在晶格近似和研究电荷和电场分布中的解决方案，作为板电气电荷的功能。随后计算和讨论差分电容。
A solid ionic conductor with cation conductivity in the interelectrode region is studied. Due to their large size, the anions are considered fixed and form a homogeneous neutralizing electric background. The model can be used to describe properties of ceramic conductors. For a statistical mechanical description of such systems, which are characterized by short-range Van der Waals interactions and long-range Coulomb interactions, an approach combining the collective variables method and the method of mean cell potentials is used. This formalism was applied in our previous work [Bokun G., Kravtsiv I., Holovko M., Vikhrenko V., Di Caprio D., Condens. Matter Phys., 2019, 29, 3351] to a homogeneous state and in the present work is extended to an inhomogeneous case induced by an external electric field. As a result, mean cell potentials become functionals of the density field and can be described by a closed system of integral equations. We investigate the solution of this problem in the lattice approximation and study charge and electric field distributions in the interelectrode region as functions of plate electrode charges. The differential electric capacitance is subsequently calculated and discussed.
