Percolation and jamming properties in particle shape-controlled seeded growth model

Dujak, D.; Karač, Aleksandar; Budinski-Petković, Lj.; Jakšić, Z. M.; Vrhovac, S. B.

doi:10.1140/epjb/s10051-022-00401-1

Cited by 3 publications

(2 citation statements)

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“…Recently, we proposed a model of granular growth, from nucleation to percolation and jamming [28]. This model can be regarded as a very simple picture of the size-and shape-controlled nano-particles growth.…”

Section: Introductionmentioning

confidence: 99%

“…Values of the percolation threshold θ * p for various values of the initial seed density ρ and impurity concentration ρ imp for the growing needle-like objects. The numbers in parentheses are the numerical values of the standard uncertainty of θ * .489 20(15) 0.488 31(12) 0.486 29(20) 0.483 75(17) 0.481 83(12) 0.482 37(12) 0.35 0.499 12(31) 0.497 63(11) 0.495 49(19) 0.492 39(25) 0.489 43(11) 0.488 68(12) 0.489 38(19) 0.38 0.502 90(23) 0.501 58(12) 0.498 55(25) 0.495 86(24) 0.493 12(17) 0.492 23(10) 0.492 32(11) 0.4 0.504 36(15) 0.502 53(69) 0.500 76(05) 0.497 64(31) 0.495 43(15) 0.494 19(16) 0.493 62(11) 0.42 0.504 98(17) 0.504 00(13) 0.501 92(13) 0.499 67(08) 0.497 05(12) 0.495 73(33) 0.495 48(13) 0.43 0.505 10(28) 0.503 75(26) 0.502 23(27) 0.500 12(09) 0.497 84(14) 0.496 51(07) 0.495 92(16) 0.44 0.505 17(26) 0.503 95(13) 0.502 61(09) 0.500 61(18) 0.498 37(16) 0.497 72(18) 0.496 82(15) 0.45 0.504 92(11) 0.503 89(09) 0.502 66(12) 0.501 11(07) 0.499 08(11) 0.498 08(10) 0.497 43(10) 0.46 0.503 95(36) 0.503 63(07) 0.502 47(06) 0.501 36(15) 0.499 64(07) 0.498 60(18) 0.498 64(14) 0.47 0.503 29(13) 0.502 91(25) 0.501 97(06) 0.501 12(11) 0.500 15(19) 0.499 19(15) 0.498 83(08) 0.48 0.502 33(08) 0.501 99(16) 0.501 37(20) 0.500 76(12) 0.500 09(08) 0.499 64(07) 0.499 58(05) 0.49 0.500 44(42) 0.500 99(02) 0.500 84(03) 0.500 54(12) 0.500 04(04) 0.499 91(06) 0.499 86(28) …”

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Percolation and jamming properties in object growth model on a lattice with impurities

Dujak¹,

Karač²,

Budinski-Petković³

et al. 2023

J. Stat. Mech.

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Percolation model with nucleation and object growth is studied by Monte Carlo simulations on a triangular lattice with point-like impurities. Growing objects are needle-like objects and self-avoiding random walk chains. In each run through the system the lattice is initially randomly occupied by point-like impurities at given concentration ρ i m p . Then the seeds for the object growth are randomly distributed at given concentration ρ. The percolation properties and the jamming densities are compared for the two classes of growing objects on the basis of the results obtained for a wide range of densities ρ and ρ i m p up to the percolation threshold for the monomer deposition on a triangular lattice. Values of the percolation thresholds θ p ∗ have lower values for the needle-like objects than for the self-avoiding random walk chains. The difference is largest for the lowest values of ρ and ρ i m p , and ceases near the values of the site percolation threshold for monomers on the triangular lattice, ρ p ∗ ≃ 0.5 . Values of the jamming coverage θ J decrease with ρ i m p for given ρ. This effect is more prominent for the growing random walk chains.

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Section: Introductionmentioning

confidence: 99%

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