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A practical approach to the sensitivity analysis for kinetic Monte Carlo simulation of heterogeneous catalysis

机译:一种实用的动力学蒙特卡罗灵敏度分析方法   多相催化的模拟

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摘要

Lattice kinetic Monte Carlo simulations have become a vital tool forpredictive quality atomistic understanding of complex surface chemical reactionkinetics over a wide range of reaction conditions. In order to expand theirpractical value in terms of giving guidelines for atomic level design ofcatalytic systems, it is very desirable to readily evaluate a sensitivityanalysis for a given model. The result of such a sensitivity analysisquantitatively expresses the dependency of the turnover frequency, being themain output variable, on the rate constants entering the model. In the past theapplication of sensitivity analysis, such as Degree of Rate Control, has beenhampered by its exuberant computational effort required to accurately samplenumerical derivatives of a property that is obtained from a stochasticsimulation method. In this study we present an efficient and robust three stageapproach that is capable of reliably evaluating the sensitivity measures forstiff microkinetic models as we demonstrate using CO oxidation on RuO2(110) asa prototypical reaction. In a first step, we utilize the Fisher InformationMatrix for filtering out elementary processes which only yield negligiblesensitivity. Then we employ an estimator based on linear response theory forcalculating the sensitivity measure for non-critical conditions which coversthe majority of cases. Finally we adopt a method for sampling coupled finitedifferences for evaluating the sensitivity measure of lattice based models.This allows efficient evaluation even in critical regions near a second orderphase transition that are hitherto difficult to control. The combined approachleads to significant computational savings over straightforward numericalderivatives and should aid in accelerating the nano scale design ofheterogeneous catalysts.
机译:晶格动力学的蒙特卡洛模拟已成为在广泛的反应条件下对复杂表面化学反应动力学进行预测质量原子理解的重要工具。为了扩展其在给出催化体系原子能级设计指导方面的实用价值,非常希望容易地评估给定模型的灵敏度分析。这种敏感性分析的结果定量表示了作为主要输出变量的周转频率对进入模型的速率常数的依赖性。过去,灵敏度分析(例如速率控制度)的应用因其为精确采样从随机模拟方法获得的属性的数值导数所需的大量计算工作而受到阻碍。在这项研究中,我们提出了一种有效且鲁棒的三阶段方法,该方法能够可靠地评估硬质微动力学模型的敏感度,正如我们在RuO2(110)上使用CO氧化作为原型反应所证明的那样。第一步,我们利用Fisher信息矩阵过滤掉只产生可忽略的灵敏度的基本过程。然后,我们采用基于线性响应理论的估计器来计算涵盖大多数情况的非关键条件下的敏感度度量。最后,我们采用了一种采样耦合有限差分的方法来评估基于格的模型的灵敏度度量,即使在二阶相变附近的关键区域(迄今为止难以控制)的情况下,也可以进行有效评估。与简单的数值导数相比,组合的方法可显着节省计算费用,并应有助于加速多相催化剂的纳米级设计。

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