Bell-Lavis模型phase diagram的彻底分析：熵模拟研究
Thoroughly analysis of the phase diagram for the Bell-Lavis model: An entropic simulational study
摘要：
在这项工作中，我们调查的Bell-Lavis模型使用熵模拟的几个值的能量参数。详细分析了$T\timesμ$的相图和基态组态。此外，我们研究了粒子密度和比热行为的不同值的化学势$μ$作为温度的函数。我们还获得的配置，最大限度地提高了几个值的化学势和温度的正则概率，使识别的低密度（$LDL$）和高密度液体（$HDL$）相，除其他外，在关键区域。在$0<μ<1.05503$范围内，发现了从$LDL-HDL_0$到$LDL-HDL$的二级相变共存。在$1.05503<μ<1.48024$范围内，$LDL-HDL_0$和$LDL-HDL_0-empty$共存之间的过渡呈现出不连续和连续过渡的特征。最后，对于$1.48024<μ<1.5$，$LDL$相和$empty$相之间的相变是一级相变。
英文摘要：
In this work, we investigate the Bell-Lavis model using entropic simulations for several values of the energy parameters. The $T\timesμ$ phase diagram and the ground state configurations are analyzed thoroughly. Besides, we examine the particle density and specific heat behavior for different values of the chemical potential $μ$ as functions of temperature. We also obtain configurations that maximize the canonical probability for several values of chemical potential and temperature, enabling the identification of the low density ($LDL$) and high-density liquid ($HDL$) phases, among others, in the critical regions. We found a second-order phase transition from the $LDL-HDL_0$ to $LDL-HDL$ coexistence in the range of $0<μ<1.05503$. In the $1.05503<μ<1.48024$ range, the transition between the $LDL-HDL_0$ and $LDL-HDL_0-empty$ coexistence presents discontinuous and continuous transitions characteristics. Finally, for $1.48024<μ<1.5$, the phase transition between $LDL$ and $empty$ phases is of first-order.
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