Abstract

This article offers a detailed analysis of interacting particles in the two-dimensional square array, which is a coarse-graining model to study the multiple occupancy lattice gas system. The equilibrium properties with the maximum loading number 2 is obtained in this work. We find the large nearest neighbor interaction leads to the steeper isotherms and the large on-site interaction leads to the plateaus isotherms. The phase transitions are discussed, and the phase diagrams are obtained via the Monte Carlo simulations. By analyzing finite size effect and the hysteresis behavior, the phase boundaries and the tricritical points are located in the phase diagrams. Our results reveal the complex equilibrium phase transitions in the double occupancy lattice gas.

Graphic abstract

This article utilizes the double occupancy lattice gas to study the interacting particles in the two-dimensional square array. The equilibrium properties with the maximum loading number 2 is obtained in this work. The large nearest neighbor interaction leads to the steeper isotherms and the large on-site interaction leads to the plateaus isotherms. The phase diagram is obtained via the Monte Carlo simulations. By analyzing finite size effect and the hysteresis behavior, the phase boundaries and the tricritical points are located in the phase diagram.

中文翻译：

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双占据晶格气体的相变

摘要

本文详细分析了二维方阵中相互作用的粒子，这是一种研究多占据晶格气体系统的粗粒度模型。在这项工作中获得了最大载荷数为 2 的平衡特性。我们发现大的最近邻相互作用导致更陡峭的等温线，而大的现场相互作用导致高原等温线。讨论了相变，并通过蒙特卡罗模拟获得了相图。通过分析有限尺寸效应和滞后行为，相边界和三临界点位于相图中。我们的结果揭示了双占据晶格气体中复杂的平衡相变。

图形摘要

本文利用双占格气体研究二维方阵中相互作用的粒子。在这项工作中获得了最大载荷数为 2 的平衡特性。大的最近邻相互作用导致更陡峭的等温线，而大的现场相互作用导致高原等温线。相图是通过蒙特卡罗模拟获得的。通过分析有限尺寸效应和滞后行为，相边界和三临界点位于相图中。