Cellular automaton models of complex systems (CSs) are gaining greater popularity; simultaneously, they have proven the capability to solve real scientific and engineering applications. To enable everybody a quick penetration into the core of this type of modeling, three real applications of cellular automaton models, including selected open source software codes, are studied: laser dynamics, dynamic recrystallization (DRX) and surface catalytic reactions.The paper is written in a way that it enables any researcher to reach the cutting edge knowledge of the design principles of cellular automata (CA) models of the observed phenomena in any scientific field. The whole sequence of design steps is demonstrated: definition of the model using topology and local (transition) rule of a cellular automaton, achieved results, comparison to real experiments, calibration, pathological observations, flow diagrams, software, and discussions. Additionally, the whole paper demonstrates the extreme expressiveness and flexibility of massively parallel computational approaches compared to other computational approaches. The paper consists of the introductory parts that are explaining CSs, self-organization and emergence, entropy, and CA. This allows readers to realize that there is a large variability in definitions and solutions of this class of models.

中文翻译：

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构建复杂系统的高效计算元胞自动机模型：背景、应用、结果、软件和病理学

复杂系统 (CS) 的元胞自动机模型越来越受欢迎；同时，他们已经证明了解决实际科学和工程应用的能力。为了让大家快速了解此类建模的核心，研究了元胞自动机模型的三个实际应用，包括选定的开源软件代码：激光动力学、动态再结晶（DRX）和表面催化反应。在某种程度上，它使任何研究人员都能够获得任何科学领域中观察到的现象的元胞自动机 (CA) 模型设计原理的前沿知识。演示了整个设计步骤序列：使用元胞自动机的拓扑和局部（转换）规则定义模型，取得的结果，与实际实验的比较，校准、病理观察、流程图、软件和讨论。此外，与其他计算方法相比，整篇论文展示了大规模并行计算方法的极端表现力和灵活性。这篇论文由介绍性部分组成，这些部分解释了 CS、自组织和涌现、熵和 CA。这让读者意识到这类模型的定义和解决方案存在很大差异。熵和 CA。这让读者意识到这类模型的定义和解决方案存在很大差异。熵和 CA。这让读者意识到这类模型的定义和解决方案存在很大差异。