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Hard core lattice gas with third next-nearest neighbor exclusion on triangular lattice : one or two phase transitions?
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Jaleel, Asweel Ahmed A., Mandal, Dipanjan and Rajesh, R. (2021) Hard core lattice gas with third next-nearest neighbor exclusion on triangular lattice : one or two phase transitions? The Journal of Chemical Physics, 155 (22). 224101. doi:10.1063/5.0066098 ISSN 0021-9606.
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Official URL: https://doi.org/10.1063/5.0066098
Abstract
We obtain the phase diagram of the hard core lattice gas with third nearest neighbor exclusion on the triangular lattice using Monte Carlo simulations that are based on a rejection-free flat histogram algorithm. In a recent paper [J. Chem. Phys. 151, 104702 (2019)], it was claimed that the lattice gas with third nearest neighbor exclusion undergoes two phase transitions with increasing density, with the phase at intermediate densities exhibiting hexatic order with continuously varying exponents. Though a hexatic phase is expected when the exclusion range is large, it has not been seen earlier in hard core lattice gases with short range exclusion. In this paper, by numerically determining the entropies for all densities, we show unambiguously that there is only a single phase transition in the system between a low-density fluid phase and a high-density ordered sublattice phase, and that a hexatic phase is absent. The transition is shown to be first order in nature and the critical parameters are determined accurately.
Item Type: | Journal Article | ||||||||
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Subjects: | Q Science > QC Physics | ||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||||||
SWORD Depositor: | Library Publications Router | ||||||||
Library of Congress Subject Headings (LCSH): | Lattice gas, Monte Carlo method, Statistical mechanics, Statistical physics | ||||||||
Journal or Publication Title: | The Journal of Chemical Physics | ||||||||
Publisher: | American Institute of Physics | ||||||||
ISSN: | 0021-9606 | ||||||||
Official Date: | 8 December 2021 | ||||||||
Dates: |
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Volume: | 155 | ||||||||
Number: | 22 | ||||||||
Article Number: | 224101 | ||||||||
DOI: | 10.1063/5.0066098 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Reuse Statement (publisher, data, author rights): | “This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Asweel Ahmed A. Jaleel , Dipanjan Mandal , and R. Rajesh , "Hard core lattice gas with third next-nearest neighbor exclusion on triangular lattice: one or two phase transitions?", J. Chem. Phys. (in press) (2021); https://doi.org/10.1063/5.0066098 and may be found at https://doi.org/10.1063/5.0066098 | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
Copyright Holders: | © 2021 Author(s). Published under an exclusive license by AIP Publishing. | ||||||||
Date of first compliant deposit: | 1 December 2021 | ||||||||
Date of first compliant Open Access: | 1 December 2021 |
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