论文标题
Markov链替代模型，用于与内部碰撞的二维相互作用粒子系统
A Markov Chain Surrogate Model for a Two-Dimensional Interacting Particle System with Internal Collisions
论文作者
论文摘要
开发了具有固有对称性的正方形域内相互作用粒子的二维系统的概率马尔可夫链（MC）替代模型。假定颗粒是圆形和相同的，相互碰撞，并通过完全弹性的碰撞与刚性域壁碰撞。许多实现的模拟结果用于开发和评估替代MC模型。固定量的兴趣（QOI）是通过三个内部几何对称性划定的九个更粗的子域中每个颗粒的数量。替代模型用于量化QOI平均特性和不确定性，因为粒子半径变化。
A probabilistic Markov Chain (MC) surrogate model for a two-dimensional system of interacting particles within a square domain having inherent symmetries is developed. Particles are assumed to be circular and identical, colliding with each other and with rigid domain walls via perfectly elastic collisions. Simulation results over many realizations are used to develop and evaluate the surrogate MC model. The stationary quantity of interest (QoI) is the number of particles within each of nine coarser subdomains, delineated via three internal geometric symmetries. The surrogate model is used to quantify QoI mean properties and uncertainty as the particle radius is varied.
