Simulation of the Liesegang pattern formation in low concentration gradient is presented using concentration perturbation in a deterministic model. The precipitation process is based on ion-product supersaturation theory (Ostwald's model). In the classical experiments with high initial concentration gradients, appearance time and locations of the band formation are well reproducible. Decreasing initial concentration gradients results in a more stochastic pattern structure; this means that the reproducibility of the experiments becomes worse. The presented model and the results of the simulations exhibit the same trend, which were demonstrated and investigated experimentally by Kai et al [S. Kai, S. C. Muller, and J. Ross, J. Phys. Chem. 87, 806 (1983)] and Kai and Miiller [S. Kai and S. C. Muller, Sci. Form 1, 9 (1985)].
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机译：使用确定性模型中的浓度扰动，模拟了低浓度梯度中Liesegang模式的形成。沉淀过程基于离子产物过饱和理论（Ostwald模型）。在具有高初始浓度梯度的经典实验中，可以很好地再现出现时间和谱带形成位置。降低初始浓度梯度会导致图案结构更加随机;这意味着实验的可重复性变差。提出的模型和仿真结果显示出相同的趋势，由Kai等人[S.Natl.Acad.Sci.USA，89，1897]证明和实验研究。 Kai，S. C. Muller和J. Ross，J. Phys。化学87，806（1983）]和Kai和Miiller [S. Kai和S. C. Muller，科学。表格1、9（1985）]。
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