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• W1530558989 abstract "We investigate, using Monte Carlo simulations, the phase diagram of a system of hard rectangles of size $mtimes mk$ on a square lattice when the aspect ratio $k$ is a non-integer. The existence of a disordered isotropic phase, a nematic with only orientational order, a columnar phase with orientational and partial translational order, and a high density phase with no orientational order is shown. The high density phase is a solid-like sublattice phase only if the length and width of the rectangles are not mutually prime, else, it is an isotropic phase. The minimum value of $k$ beyond which the nematic and columnar phases exist are determined for $m=2$ and $3$. The nature of the transitions between different phases is determined, and the critical exponents are numerically obtained for the continuous transitions." @default.
• W1530558989 created "2016-06-24" @default.
• W1530558989 creator A5017392702 @default.
• W1530558989 creator A5044876621 @default.
• W1530558989 date "2015-05-01" @default.
• W1530558989 modified "2023-09-27" @default.
• W1530558989 title "Phase transitions in systems of hard rectangles with non-integer aspect ratio" @default.
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• W1530558989 doi "https://doi.org/10.1140/epjb/e2015-60210-7" @default.
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