Thorough Analysis of the Phase Diagram for the Bell–Lavis Model: An Entropic Simulational Study

In this work, we investigate the Bell-Lavis model using entropic simulations for several values of energy parameters. The $T\times\mu$ phase diagram and ground state configurations are analyzed thoroughly. Besides, examine particle density specific heat behavior different chemical potential $\mu$ as functions temperature. We also obtain that maximize canonical probability temperature, enabling identification low ($LDL$) high-density liquid ($HDL$) phases, among others, in critical regions. found a second-order transition from $LDL-HDL_0$ to $LDL-HDL$ coexistence range $0<\mu<1.05503$. $1.05503<\mu<1.48024$ range, between $LDL-HDL_0-empty$ presents discontinuous continuous transitions characteristics. Finally, $1.48024<\mu<1.5$, $LDL$ $empty$ phases is first-order.