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Phase transitions of a double occupancy lattice gas

  • Regular Article - Statistical and Nonlinear Physics
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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.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: This article is theoretical and has no associated experimental data, and all numerical data are included in the figures of Sect. 3.]

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Acknowledgements

Wei Liu would like to thank Prof. David P. Landau for his valuable discussion.

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Authors and Affiliations

  1. College of Science, Xi’an University of Science and Technology, Xi’an, 710054, Shaanxi, China

    Wei Liu, Zhengxin Yan & Gaoliang Zhou

Authors
  1. Wei Liu
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  2. Zhengxin Yan
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  3. Gaoliang Zhou
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Corresponding author

Correspondence to Wei Liu.

Additional information

This work is supported by the National Natural Science Foundation of China under Grant nos. 11405127 and 11805151.

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Liu, W., Yan, Z. & Zhou, G. Phase transitions of a double occupancy lattice gas. Eur. Phys. J. B 94, 133 (2021). https://doi.org/10.1140/epjb/s10051-021-00142-7

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