Barrier properties of k-mer packings
| Autor: | S. Khrapatiy, N. Lebovka, Vygornitskyi, N. Pivovarova |
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| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: |
Statistics and Probability
Statistical Mechanics (cond-mat.stat-mech) Monte Carlo method Thermodynamics FOS: Physical sciences Anomalous behavior Condensed Matter - Soft Condensed Matter Condensed Matter Physics Square lattice Combinatorics Sphere packing Random sequential adsorption k-mer Lattice (order) Perpendicular Soft Condensed Matter (cond-mat.soft) Condensed Matter - Statistical Mechanics Mathematics |
| Popis: | This work discusses numerical studies of the barrier properties of k-mer packings by Monte Carlo method. The studied variants of regular and non-regular arrangements on a square lattice included models of random sequential adsorption (RSA) and random deposition (RD). The discrete problem of diffusion through the bonds of a square lattice was considered. The k-mers were perfectly oriented perpendicular to the diffusion direction and blocked certain fraction of bonds $f_b$ against diffusion. For loose RSA and RD packings, the percolation like-behavior of diffusion coefficient was observed and the data evidenced that their barrier properties at large values of k may be more effective than those of some dense packings. Such anomalous behavior can reflect the details of k-mer spatial organization (aggregation) and structure of pores in RD and RSA packings. The contradictions between simulation data and predictions of EM theory were also discussed. 10 pages, 7 figures |
| Databáze: | OpenAIRE |
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