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Phase transitions in hard-core lattice gases on the honeycomb lattice.
Physical Review E ( IF 2.2 ) Pub Date : 2020-06-24 , DOI: 10.1103/physreve.101.062138 Filipe C Thewes 1 , Heitor C M Fernandes 1
Physical Review E ( IF 2.2 ) Pub Date : 2020-06-24 , DOI: 10.1103/physreve.101.062138 Filipe C Thewes 1 , Heitor C M Fernandes 1
Affiliation
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We study lattice gas systems on the honeycomb lattice where particles exclude neighboring sites up to order () from being occupied by another particle. Monte Carlo simulations were used to obtain phase diagrams and characterize phase transitions as the system orders at high packing fractions. For systems with first-neighbors exclusion (1NN), we confirm previous results suggesting a continuous transition in the two-dimensional Ising universality class. Exclusion up to second neighbors (2NN) lead the system to a two-step melting process where, first, a high-density columnar phase undergoes a first-order phase transition with nonstandard scaling to a solidlike phase with short-range ordered domains and, then, to fluidlike configurations with no sign of a second phase transition. 3NN exclusion, surprisingly, shows no phase transition to an ordered phase as density is increased, staying disordered even to packing fractions up to 0.98. The 4NN model undergoes a continuous phase transition with critical exponents close to the three-state Potts model. The 5NN system undergoes two first-order phase transitions, both with nonstandard scaling. We, also, propose a conjecture concerning the possibility of more than one phase transition for systems with exclusion regions further than 5NN based on geometrical aspects of symmetries.
中文翻译：
蜂窝晶格上的硬核晶格气体中的相变。
我们研究了蜂窝状晶格上的晶格气系统，其中颗粒排除了按序排列的相邻位置 （）被另一个粒子占据。蒙特卡罗模拟用于获得相图，并将相变表征为高填充分数时的系统级。对于具有第一邻居排除（1NN）的系统，我们确认先前的结果表明二维Ising通用性类中存在连续过渡。排斥到第二邻居（2NN），导致系统进入两步熔化过程，首先，高密度柱状相经历一阶相变，且非标准缩放成具有短程有序域的固体相，并且，然后，变为无第二相变迹象的类流体构造。令人惊讶的是，3NN排除显示，随着密度的增加，没有相转变为有序相，甚至无序堆积至0.98的填充分数也无序。4NN模型经历了连续的相变，其临界指数接近三态Potts模型。5NN系统经历了两个一阶相变，均具有非标准缩放比例。我们还提出了一个猜想，即基于对称性的几何学，对于排除区域大于5NN的系统，存在不止一个相变的可能性。
更新日期：2020-06-24
中文翻译：
蜂窝晶格上的硬核晶格气体中的相变。
我们研究了蜂窝状晶格上的晶格气系统，其中颗粒排除了按序排列的相邻位置 （）被另一个粒子占据。蒙特卡罗模拟用于获得相图，并将相变表征为高填充分数时的系统级。对于具有第一邻居排除（1NN）的系统，我们确认先前的结果表明二维Ising通用性类中存在连续过渡。排斥到第二邻居（2NN），导致系统进入两步熔化过程，首先，高密度柱状相经历一阶相变，且非标准缩放成具有短程有序域的固体相，并且，然后，变为无第二相变迹象的类流体构造。令人惊讶的是，3NN排除显示，随着密度的增加，没有相转变为有序相，甚至无序堆积至0.98的填充分数也无序。4NN模型经历了连续的相变，其临界指数接近三态Potts模型。5NN系统经历了两个一阶相变，均具有非标准缩放比例。我们还提出了一个猜想，即基于对称性的几何学，对于排除区域大于5NN的系统，存在不止一个相变的可能性。
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