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• W3112696576 abstract "We determine the asymptotic behavior of the entropy of full coverings of a $L times M$ square lattice by rods of size $ktimes 1$ and $1times k$, in the limit of large $k$. We show that full coverage is possible only if at least one of $L$ and $M$ is a multiple of $k$, and that all allowed configurations can be reached from a standard configuration of all rods being parallel, using only basic flip moves that replace a $k times k$ square of parallel horizontal rods by vertical rods, and vice versa. In the limit of large $k$, we show that the entropy per site $S_2(k)$ tends to $ A k^{-2} ln k$, with $A=1$. We conjecture, based on a perturbative series expansion, that this large-$k$ behavior of entropy per site is super-universal and continues to hold on all $d$-dimensional hyper-cubic lattices, with $d geq 2$." @default.
• W3112696576 created "2020-12-21" @default.
• W3112696576 creator A5040345616 @default.
• W3112696576 creator A5044876621 @default.
• W3112696576 date "2021-04-20" @default.
• W3112696576 modified "2023-09-26" @default.
• W3112696576 title "Entropy of fully packed hard rigid rods on <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>d</mml:mi></mml:math> -dimensional hypercubic lattices" @default.
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• W3112696576 doi "https://doi.org/10.1103/physreve.103.042130" @default.
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• W3112696576 hasPublicationYear "2021" @default.
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