To describe the anomalous dielectric relaxation of reaction in space- and time-dependent electric field, we derive the possible kinetic equations for describing the distributions of $A$ and $B$ particles in a simple reaction $A\to B$ based on the biased continuous time random walk, when the jumping probabilities are evaluated after or before the waiting time, respectively. Different reaction—subdiffusion equations are derived for different cases, in which the properties of A and B particles are the same or different. The reaction and subdiffusion terms can be decoupled if the past is forgotten when $B$ particles are converted by $A$ particles. According to the corresponding kinetic equations in the spherical coordinates, the dielectric polarization of the reaction is derived. By comparing the different expressions of the polarization, it is found that the reaction–subdiffusion equation based on the jumping probabilities, which are independent of time and evaluated before the waiting time, is more reasonable to describe the dielectric relaxation process in the chemical reaction.

为了描述在时空相关的电场中反应的异常介电弛豫，我们导出了可能的动力学方程来描述 $\mathrm{一种}$ 和 $乙$ 简单反应中的颗粒 $\mathrm{一种}\to 乙$基于有偏连续时间随机游走，分别在等待时间之后或之前评估跳跃概率时。对于不同的情况，得出了不同的反应扩散方程，其中A和B粒子的性质相同或不同。如果过去时忘记了过去，则反应和子扩散项可以分离$乙$ 粒子被转换 $\mathrm{一种}$粒子。根据球坐标中相应的动力学方程式，得出反应的介电极化。通过比较极化的不同表达式，发现基于跳跃概率的反应-扩散方程与时间无关，并且在等待时间之前进行了评估，它对于描述化学反应中的介电弛豫过程更为合理。