γ辐照明胶基固体电解质Polymer的电阻抗响应
Electrical Impedance Response of Gamma Irradiated Gelatin based Solid Polymer Electrolytes Analyzed Using a Generalized Calculus Formalism
摘要：
用阻抗谱法研究了明胶基固体聚合物电解质对γ射线辐照的电阻抗响应。基于Poisson-Nernst-Plank模型，结合分数阶时间导数进行了分析。详细推导了反常阻抗函数的表达式，该模型包括离子密度分数阶时间导数与吸附-脱附弛豫动力学卷积的边界条件。分数阶扩散漂移方程用于求解电解质中可动电荷的体行为。电极-电解质界面复杂的吸附-脱附过程在体系中产生异常效应。该模型给出了一个非常好的适合观察到的阻抗数据，这种生物聚合物为基础的固体电解质在宽范围的频率。我们比较了不同的参数，基于这个模型的照射和未照射的样品。
英文摘要：
The electrical impedance response of Gelatin based solid polymer electrolyte to gamma irradiation is investigated by impedance spectroscopy. An analysis based on Poisson-Nernst-Plank model, incorporating fractional time derivatives is carried out. A detailed derivation for anomalous impedance function is given.The model involves boundary conditions with convolution of the fractional time derivative of ion density and adsorption desorption relaxation kinetics. A fractional diffusion-drift equation is used to solve the bulk behavior of the mobile charges in the electrolyte. The complex adsorption-desorption process at the electrode-electrolyte interface produces an anomalous effect in the system. The model gives a very good fit for the observed impedance data for this biopolymer based solid electrolyte in wide range of frequencies. We have compared different parameters based upon this model for both irradiated and unirradiated samples.
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