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• W2947104024 abstract "Jamming and percolation of three-dimensional (3D) $kifmmodetimeselsetexttimesfi{}kifmmodetimeselsetexttimesfi{}k$ cubic objects (${k}^{3}$-mers) deposited on simple cubic lattices have been studied by numerical simulations complemented with finite-size scaling theory. The ${k}^{3}$-mers were irreversibly deposited into the lattice. Jamming coverage ${ensuremath{theta}}_{j,k}$ was determined for a wide range of $k$ ($2ensuremath{le}kensuremath{le}40$). ${ensuremath{theta}}_{j,k}$ exhibits a decreasing behavior with increasing $k$, being ${ensuremath{theta}}_{j,k=ensuremath{infty}}=0.4204(9)$ the limit value for large ${k}^{3}$-mer sizes. In addition, a finite-size scaling analysis of the jamming transition was carried out, and the corresponding spatial correlation length critical exponent ${ensuremath{nu}}_{j}$ was measured, being ${ensuremath{nu}}_{j}ensuremath{approx}3/2$. However, the obtained results for the percolation threshold ${ensuremath{theta}}_{p,k}$ showed that ${ensuremath{theta}}_{p,k}$ is an increasing function of $k$ in the range $2ensuremath{le}kensuremath{le}16$. For $kensuremath{ge}17$, all jammed configurations are nonpercolating states, and consequently, the percolation phase transition disappears. The interplay between the percolation and the jamming effects is responsible for the existence of a maximum value of $k$ (in this case, $k=16$) from which the percolation phase transition no longer occurs. Finally, a complete analysis of critical exponents and universality has been done, showing that the percolation phase transition involved in the system has the same universality class as the 3D random percolation, regardless of the size $k$ considered." @default.
• W2947104024 created "2019-06-07" @default.
• W2947104024 creator A5027819412 @default.
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• W2947104024 date "2019-08-23" @default.
• W2947104024 modified "2023-10-17" @default.
• W2947104024 title "Jamming and percolation of<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:msup><mml:mi>k</mml:mi><mml:mn>3</mml:mn></mml:msup></mml:math>-mers on simple cubic lattices" @default.
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• W2947104024 doi "https://doi.org/10.1103/physreve.100.022136" @default.
• W2947104024 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/31574619" @default.
• W2947104024 hasPublicationYear "2019" @default.
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