标题： 一个相互作用的布朗粒子系统的密度依赖扩散模型 显示英文标题

标题： A Density-Dependent Diffusion Model of an Interacting System of Brownian Particles

摘要： 密度依赖性扩散在自然界中是一种普遍现象。 我们研究了一些生物过程（如肿瘤生长和侵袭）的密度依赖性扩散行为[23]。 在这里，我们通过开发计算技术来分析一维相互作用粒子系统的密度依赖性扩散行为，这些系统已被用于建模众多微观过程[17-19]，并将我们的技术应用于具有硬核相互作用和最近邻黏附的布朗粒子相互作用系统，这种系统被称为单文件动力学。 通过利用蒙特卡洛技术和高性能计算资源的大规模数值模拟，我们展示了此类系统中的扩散率依赖于平均粒子密度。 我们所提出的技术的扩展使研究人员能够研究自然中许多物理系统的一维扩散行为，这些系统由于粒子密度的变化而发生扩散；如离子传输过程、沸石中的通道等。 显示英文摘要

摘要： Density-dependent diffusion is a widespread phenomenon in nature. We have examined the density-dependent diffusion behavior of some biological processes such as tumor growth and invasion [23]. Here, we extend our previous work by developing computational techniques to analyze the density-dependent diffusion behavior of one-dimensional interacting particle systems, which have been used to model numerous microscopic processes [17-19], and we apply our techniques to an interacting system of Brownian particles, with hard-core interactions and nearest-neighbor adhesion, known as single-file dynamics. Through large-scale numerical simulations that exploit Monte-Carlo techniques and high-performance computing resources, we show that the diffusion rate in such systems depends on the average particle density. Extensions to the techniques we present here enable researchers to examine the density-dependent diffusion behavior of many physical systems in nature that undergo one-dimensional diffusion associated with a change in the particle density; such as ion transport processes, channeling in zeolites, etc.