We introduce a minesweeper percolation model, in which the system configuration is obtained via an automatic minesweeper process. For a variety of candidate networks with different lattice configurations, our process gives rise to a second-order phase transition. Using Monte Carlo simulation, we identify the critical points implied by giant components. A set of critical exponents are extracted to characterize the nature of the minesweeper percolation transition. The determined universality class shows a clear difference from the traditional percolation transition. A proper mine density of the minesweeper game should be set around the critical density.

中文翻译：

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扫雷舰渗流模型的临界指数和普适性等级

我们引入了扫雷渗透模型，其中系统配置是通过自动扫雷过程获得的。对于具有不同晶格配置的各种候选网络，我们的过程产生了二阶相变。使用蒙特卡罗模拟，我们确定了巨型组件所隐含的临界点。提取了一组临界指数来表征扫雷艇渗透转变的性质。确定的普遍性等级与传统的渗透过渡有明显的区别。扫雷游戏的适当地雷密度应围绕临界密度设置。