论文标题
布朗颗粒相互作用系统的密度依赖性扩散模型
A Density-Dependent Diffusion Model of an Interacting System of Brownian Particles
论文作者
论文摘要
密度依赖性扩散本质上是一种广泛的现象。我们已经检查了某些生物学过程的密度依赖性扩散行为，例如肿瘤生长和侵袭[23]。在这里，我们通过开发计算技术来扩展以前的工作，以分析一维相互作用粒子系统的密度依赖性扩散行为，这些粒子系统已用于模拟众多显微镜过程[17-19]，我们将技术应用于布朗粒子的相互作用系统，具有硬核相互作用，具有硬核相互作用和最近的尼克伯堡粘合剂，已知的AS HISS-File Dynamils。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，我们表明这种系统中的扩散速率取决于平均粒子密度。我们在此提出的技术扩展使研究人员能够检查许多物理系统在自然界中的密度依赖性扩散行为，这些扩散行为经历了与粒子密度变化相关的一维扩散；例如离子传输过程，在沸石中引导等等。
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.
