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Freezing phase transition in hard-core lattice gases on the triangular lattice with exclusion up to seventh next-nearest neighbor
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Jaleel, Asweel Ahmed A., Mandal, Dipanjan, Thomas, Jetin E. and Rajesh, R. (2022) Freezing phase transition in hard-core lattice gases on the triangular lattice with exclusion up to seventh next-nearest neighbor. Physical Review E, 106 (4). 044136 . doi:10.1103/PhysRevE.106.044136 ISSN 1539-3755.
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Official URL: http://dx.doi.org/10.1103/PhysRevE.106.044136
Abstract
Hard-core lattice-gas models are minimal models to study entropy-driven phase transitions. In the k-nearest-neighbor lattice gas, a particle excludes all sites up to the kth next-nearest neighbors from being occupied by another particle. As k increases from one, it extrapolates from nearest-neighbor exclusion to the hard-sphere gas. In this paper we study the model on the triangular lattice for k≤7 using a flat histogram algorithm that includes cluster moves. Earlier studies focused on k≤3
. We show that for 4≤k≤7, the system undergoes a single phase transition from a low-density fluid phase to a high-density sublattice-ordered phase. Using partition function zeros and nonconvexity properties of the entropy, we show that the transitions are discontinuous. The critical chemical potential, coexistence densities, and critical pressure are determined accurately.
Item Type: | Journal Article | ||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||||
Journal or Publication Title: | Physical Review E | ||||||
Publisher: | American Physical Society | ||||||
ISSN: | 1539-3755 | ||||||
Official Date: | 26 October 2022 | ||||||
Dates: |
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Volume: | 106 | ||||||
Number: | 4 | ||||||
Article Number: | 044136 | ||||||
DOI: | 10.1103/PhysRevE.106.044136 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||
Copyright Holders: | ©2022 American Physical Society | ||||||
Date of first compliant deposit: | 3 January 2023 | ||||||
Date of first compliant Open Access: | 3 January 2023 |
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