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Jamming and percolation of k 2-mers on simple cubic lattices

Pasinetti, Pedro Marcelo et al · IOP Publishing · 2019

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Author / responsible party
Pasinetti, Pedro Marcelo et al
Publisher
IOP Publishing
Year
2019
ISSN
1742-5468
ISSN
1742-5468
Language
English

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Summary

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Jamming and percolation of square objects of size k × k (k2-mers) isotropically deposited on simple cubic lattices have been studied bynumerical simulations complemented with finite-size scaling theory. The k2-mers were irreversibly deposited into the lattice. Jamming coverage j,k wasdetermined for a wide range of k (2 k 200). j,k exhibits a decreasingbehavior with increasing k, being j,k = 0.4285(6) the limit value for largek2-mer sizes. On the other hand, the obtained results shows that percolationthreshold, c,k, has a strong dependence on k. It is a decreasing function in therange 2 k 18 with a minimum around k = 18 and, for k 18, it increasessmoothly towards a saturation value. Finally, a complete analysis of criticalexponents and universality has been done, showing that the percolation phasetransition involved in the system has the same universality class as the 3Drandom percolation, regardless of the size k considered. Fil: Pasinetti, Pedro Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; Argentina Fil: Centres, Paulo Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; Argentina

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APA 7

Pasinetti, P. M. E. A. (2019). Jamming and percolation of k 2-mers on simple cubic lattices. http://hdl.handle.net/11336/117077

MLA

Pasinetti, Pedro Marcelo et al. "Jamming and percolation of k 2-mers on simple cubic lattices." 2019. http://hdl.handle.net/11336/117077.

Chicago

Pasinetti, Pedro Marcelo et al. 2019. "Jamming and percolation of k 2-mers on simple cubic lattices.". http://hdl.handle.net/11336/117077.

Harvard

Pasinetti, P. M. E. A. 2019, Jamming and percolation of k 2-mers on simple cubic lattices, IOP Publishing, available at: http://hdl.handle.net/11336/117077 [Accessed 10 Aug. 2026].

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Resource details

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Title
Jamming and percolation of k 2-mers on simple cubic lattices
Author / contributors
Pasinetti, Pedro Marcelo et al
Publisher
IOP Publishing
Publication year
2019
ISSN
1742-5468
ISSN
1742-5468
Language
English

Subjects

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Irreversible aggregation phenomena; Percolation problems; Critical exponents and amplitudes; Finite-size scaling; https://purl.org/becyt/ford/1.3; https://purl.org/becyt/ford/1
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