并行多正则方法在格子气凝聚中的应用
Application of the parallel multicanonical method to lattice gas condensation
摘要：
我们提出了加速从一个新的并行实现的多正则方法的例子格子气在二维和三维。在这种方法中，所有核心都使用相同的权重执行独立的平衡运行，在每次迭代后收集它们的采样直方图，以估计连续的权重。然后将权重重新分配给所有内核。重复这些步骤，直到权重收敛。该程序受益于最低限度的通信，同时有效地分发必要的统计数据。使用这种方法使我们能够研究各种大型和复杂系统的宽温度范围。在这里，气体被建模为晶格上的粒子，它们只与最近的邻居相互作用。对于固定的密度，该模型等价于具有固定磁化强度的伊辛模型。我们比较我们的结果，平衡液滴形成的分析预测，确认一个单一的宏观液滴的形式只有在临界密度以上。
英文摘要：
We present the speedup from a novel parallel implementation of the multicanonical method on the example of a lattice gas in two and three dimensions. In this approach, all cores perform independent equilibrium runs with identical weights, collecting their sampled histograms after each iteration in order to estimate consecutive weights. The weights are then redistributed to all cores. These steps are repeated until the weights are converged. This procedure benefits from a minimum of communication while distributing the necessary amount of statistics efficiently. Using this method allows us to study a broad temperature range for a variety of large and complex systems. Here, a gas is modeled as particles on the lattice, which interact only with their nearest neighbors. For a fixed density this model is equivalent to the Ising model with fixed magnetization. We compare our results to an analytic prediction for equilibrium droplet formation, confirming that a single macroscopic droplet forms only above a critical density.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
