Thoroughly analysis of the phase diagram for the Bell-Lavis model: An entropic simulational study

Abstract

In this work, we investigate the Bell-Lavis model using entropic simulations for several values of the energy parameters. The $T\times \mu$ 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 $\mu$ 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 $LDL-HD{L}_0$ to $LDL-HDL$ coexistence in the range of $0<\mu <1.05503$. In the $1.05503<\mu <1.48024$ range, the transition between the $LDL-HD{L}_0$ and $LDL-HD{L}_0-empty$ coexistence presents discontinuous and continuous transitions characteristics. Finally, for $1.48024<\mu <1.5$, the phase transition between $LDL$ and $empty$ phases is of first-order.

10 pages, 12 figures

References in corpus (2)

• Metastable liquid-liquid coexistence and density anomalies in a core-softened fluid
• Cluster-variation approximation for a network-forming lattice-fluid model

Cited by in corpus (1)

• An entropic simulational study of the spin-$1$ Baxter-Wu model in a crystal field