Here we address a fundamental issue in surface physics: the dynamics ofadsorbed molecules. We study this problem when the particle's desorption ischaracterized by a non Markovian process, while the particle's adsorption andits motion in the bulk are governed by a Markovian dynamics. We study thediffusion of particles in a semi-infinite cubic lattice, and focus on theeffective diffusion process at the interface $z = 1$. We calculate analyticallythe conditional probability to find the particle on the $z=1$ plane as well asthe surface dispersion as functions of time. The comparison of these resultswith Monte Carlo simulations show an excellent agreement.
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机译:在这里,我们解决表面物理学中的一个基本问题:吸附分子的动力学。当粒子的解吸是通过非马尔可夫过程表征的,而粒子的吸附及其在整体中的运动是由马尔可夫动力学控制的时候,我们研究了这个问题。我们研究了粒子在半无限立方晶格中的扩散,并着眼于在$ z = 1 $界面上的有效扩散过程。我们通过分析计算条件概率,以找到在$ z = 1 $平面上的粒子以及表面弥散作为时间的函数。这些结果与蒙特卡洛模拟的比较显示出极好的一致性。
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