We study, numerically, a system of active particles with either a single noise value or a mixture of equal proportions of particles with two noise values under the influence of an attractive periodic background potential, and we observe their diffusion regimes and trapping states. For the single noise system, we show that the slow diffusion is correlated to a significant particle trapping, while normal diffusion is seen for partial or no trapping. Our results indicate that low noise particles are less susceptible to the background, i.e., they have a smaller chance to be trapped as compared to higher noise particles for the same background, and that denser systems achieve a no-trapping state, unless for the largest noise value we studied. For the mixtures, we study the sorting of particles based on their noise value differences and observe that particles with distinct noises are trapped at distinct radii compared to a trap minimum, and, since these radii depend on the density, the latter should be well tuned in order to have an efficient sorting.

中文翻译：

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周期性背景电位中活物质的捕集和分选

我们从数值上研究了一个具有单个噪声值或具有相等比例的具有两个噪声值的粒子的混合活性粒子系统，这些粒子在有吸引力的周期性背景电势的影响下，并观察了它们的扩散状态和俘获状态。对于单噪声系统，我们表明缓慢扩散与显着的粒子捕获相关，而正常扩散被视为部分或没有捕获。我们的结果表明，低噪声粒子对背景的敏感度较低，即与相同背景下的较高噪声粒子相比，它们被捕获的机会较小，并且除非密度最大，否则密集的系统将达到无捕获状态我们研究的噪声值。对于混合物