Phases of the hard-plate lattice gas on a three-dimensional cubic lattice

Mandal, Dipanjan; Rakala, Geet; Damle, Kedar; Dhar, Deepak; Rajesh, R.

doi:10.48550/arxiv.2109.02611

Cited by 2 publications

(2 citation statements)

References 58 publications

(84 reference statements)

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“…There are many shapes for which the phases and phase diagrams have been obtained: tetrominoes, squares, hexagons, long rods, rectangles, triangles, Y-shaped molecules etc (see [5,[38][39][40] and references cited therein). As simple examples of lattice models that show ODC phases, we note that the high-density phase of 2 × 2k rectangles, with k > 1 on a square lattice [41,42], and 2 × 2 × 1 plates on a cubic lattice [43] show crystalline (sublattice) order, but no orientational order. For hard core models, an open question is predicting the sequence of different phases, given that we know the phases, with increasing density.…”

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confidence: 94%

Phase transitions in systems of particles with only hard-core interactions

Dhar,

Rajesh,

Kumar

2023

EPL

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This article contains our comments and views on the status of the current understanding of phase transitions in systems in thermal equilibrium with only hard-core interactions, based on our work in this area. The equation of state for the hard sphere gas in d-dimensions is discussed. The universal repulsive Lee-Yang singularities in the complex activity plane, and its relation to the directed and undirected branched polymer models are outlined. We also discuss orientationally disordered crystalline mesophases, and some of their models.

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confidence: 94%

Phase transitions in systems of particles with only hard-core interactions

Dhar,

Rajesh,

Kumar

2023

EPL

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“…To understand this dependence as well as the order in which the phases occur with increasing density, phase diagrams of many different shapes have been studied in detail in the literature. Examples include hard hexagons [3,4], triangles [5], squares [6][7][8], rectangles [9,10], tetraminos [11], rods [12][13][14], and plates [15,16].…”

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confidence: 99%

Freezing phase transition in hard-core lattice gases on the triangular lattice with exclusion up to seventh next-nearest neighbor

et al. 2022

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Hard-core lattice-gas models are minimal models to study entropy-driven phase transitions. In the k-nearestneighbor 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.

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Phases of the hard-plate lattice gas on a three-dimensional cubic lattice

Cited by 2 publications

References 58 publications

Phase transitions in systems of particles with only hard-core interactions

Phase transitions in systems of particles with only hard-core interactions

Freezing phase transition in hard-core lattice gases on the triangular lattice with exclusion up to seventh next-nearest neighbor

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