Physical Review E, volume 84, issue 6, publication number 061603

Random sequential adsorption of partially oriented lineark-mers on a square lattice

Karmazina Natalia N. 2
Laptev Valeri V. 3
Publication typeJournal Article
Publication date2011-12-16
Quartile SCImago
Q1
Quartile WOS
Q1
Impact factor2.4
ISSN24700045, 24700053, 15393755, 15502376, 1063651X, 10953787
General Medicine
Abstract
Jamming phenomena on a square lattice are investigated for two different models of anisotropic random sequential adsorption (RSA) of linear $k$-mers (particles occupying $k$ adjacent adsorption sites along a line). The length of a $k$-mer varies from 2 to 128. Effect of $k$-mer alignment on the jamming threshold is examined. For completely ordered systems where all the $k$-mers are aligned along one direction (e.g., vertical), the obtained simulation data are very close to the known analytical results for 1d systems. In particular, the jamming threshold tends to the R{\'e}nyi's Parking Constant for large $k$. In the other extreme case, when $k$-mers are fully disordered, our results correspond to the published results for short $k$-mers. It was observed that for partially oriented systems the jamming configurations consist of the blocks of vertically and horizontally oriented $k$-mers ($v$- and $h$-blocks, respectively) and large voids between them. The relative areas of different blocks and voids depend on the order parameter $s$, $k$-mer length and type of the model. For small $k$-mers ($k\leqslant 4$), denser configurations are observed in disordered systems as compared to those of completely ordered systems. However, longer $k$-mers exhibit the opposite behavior.

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Lebovka N. et al. Random sequential adsorption of partially oriented lineark-mers on a square lattice // Physical Review E. 2011. Vol. 84. No. 6. 061603
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Lebovka N., Karmazina N. N., Tarasevich Y. I., Laptev V. V. Random sequential adsorption of partially oriented lineark-mers on a square lattice // Physical Review E. 2011. Vol. 84. No. 6. 061603
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TY - JOUR
DO - 10.1103/PhysRevE.84.061603
UR - https://doi.org/10.1103%2FPhysRevE.84.061603
TI - Random sequential adsorption of partially oriented lineark-mers on a square lattice
T2 - Physical Review E
AU - Lebovka, Nikolai
AU - Karmazina, Natalia N.
AU - Tarasevich, Yuri I.
AU - Laptev, Valeri V.
PY - 2011
DA - 2011/12/16 00:00:00
PB - American Physical Society (APS)
IS - 6
VL - 84
SN - 2470-0045
SN - 2470-0053
SN - 1539-3755
SN - 1550-2376
SN - 1063-651X
SN - 1095-3787
ER -
BibTex
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BibTex Copy
@article{2011_Lebovka,
author = {Nikolai Lebovka and Natalia N. Karmazina and Yuri I. Tarasevich and Valeri V. Laptev},
title = {Random sequential adsorption of partially oriented lineark-mers on a square lattice},
journal = {Physical Review E},
year = {2011},
volume = {84},
publisher = {American Physical Society (APS)},
month = {dec},
url = {https://doi.org/10.1103%2FPhysRevE.84.061603},
number = {6},
doi = {10.1103/PhysRevE.84.061603}
}
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