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Scaling properties of the number of random sequential adsorption iterations needed to generate saturated random packing
random sequential adsorption
saturated random packings
spheres packings
multidimensional packings
The properties of the number of iterations in random sequential adsorption protocol needed to generate finite saturated random packing of spherically symmetric shapes were studied. Numerical results obtained for one, two, and three dimensional packings were supported by analytical calculations valid for any dimension d. It has been shown that the number of iterations needed to generate finite saturated packing is subject to Pareto distribution with exponent −1−1/d−1−1/d-1-1/d and the median of this distribution scales with packing size according to the power-law characterized by exponent d. Obtained results can be used in designing effective random sequential adsorption simulations.
cris.lastimport.wos | 2024-04-10T02:44:28Z | |
dc.abstract.en | The properties of the number of iterations in random sequential adsorption protocol needed to generate finite saturated random packing of spherically symmetric shapes were studied. Numerical results obtained for one, two, and three dimensional packings were supported by analytical calculations valid for any dimension d. It has been shown that the number of iterations needed to generate finite saturated packing is subject to Pareto distribution with exponent −1−1/d−1−1/d-1-1/d and the median of this distribution scales with packing size according to the power-law characterized by exponent d. Obtained results can be used in designing effective random sequential adsorption simulations. | pl |
dc.affiliation | Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego | pl |
dc.contributor.author | Cieśla, Michał - 101020 | pl |
dc.date.accessioned | 2017-02-28T10:51:11Z | |
dc.date.available | 2017-02-28T10:51:11Z | |
dc.date.issued | 2017 | pl |
dc.date.openaccess | 0 | |
dc.description.accesstime | w momencie opublikowania | |
dc.description.number | 1 | pl |
dc.description.physical | 39-44 | pl |
dc.description.version | ostateczna wersja wydawcy | |
dc.description.volume | 166 | pl |
dc.identifier.doi | 10.1007/s10955-016-1673-y | pl |
dc.identifier.eissn | 1572-9613 | pl |
dc.identifier.issn | 0022-4715 | pl |
dc.identifier.uri | http://ruj.uj.edu.pl/xmlui/handle/item/38970 | |
dc.language | eng | pl |
dc.language.container | eng | pl |
dc.rights | Dodaję tylko opis bibliograficzny | * |
dc.rights.licence | CC-BY | |
dc.rights.uri | * | |
dc.share.type | inne | |
dc.subject.en | random sequential adsorption | pl |
dc.subject.en | saturated random packings | pl |
dc.subject.en | spheres packings | pl |
dc.subject.en | multidimensional packings | pl |
dc.subtype | Article | pl |
dc.title | Scaling properties of the number of random sequential adsorption iterations needed to generate saturated random packing | pl |
dc.title.journal | Journal of Statistical Physics | pl |
dc.type | JournalArticle | pl |
dspace.entity.type | Publication |