Pareto distribution in the system of polyamide particle clusters on the water surface
The present article considers a theoretical model of the formation of the Pareto distribution in a system of two-dimensional polyamide structures on the water surface. Complexes of polyamide granules collide with each other on the surface, moving in background liquid flows caused by random thermal g...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-10-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379721007592 |
| _version_ | 1818361814879043584 |
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| author | S.V. Filatov E.V. Lebedeva A.A. Levchenko L.P. Mezhov-Deglin A.V. Poplevin |
| author_facet | S.V. Filatov E.V. Lebedeva A.A. Levchenko L.P. Mezhov-Deglin A.V. Poplevin |
| author_sort | S.V. Filatov |
| collection | DOAJ |
| description | The present article considers a theoretical model of the formation of the Pareto distribution in a system of two-dimensional polyamide structures on the water surface. Complexes of polyamide granules collide with each other on the surface, moving in background liquid flows caused by random thermal gradients in the liquid bulk. Small complexes with a size of fractions of mm become organized into clusters with a complex structure and a size of a few cm under the action of surface tension forces. Numerical calculation taking into account the decomposition of large clusters provides power-law distribution of the density of complexes over their area. The results of the theoretical calculation are confirmed by the experimental data. |
| first_indexed | 2024-12-13T21:22:40Z |
| format | Article |
| id | doaj.art-457fc82c48a04371b018269aa734d060 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-13T21:22:40Z |
| publishDate | 2021-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-457fc82c48a04371b018269aa734d0602022-12-21T23:31:02ZengElsevierResults in Physics2211-37972021-10-0129104677Pareto distribution in the system of polyamide particle clusters on the water surfaceS.V. Filatov0E.V. Lebedeva1A.A. Levchenko2L.P. Mezhov-Deglin3A.V. Poplevin4Osipyan Institute of Solid State Physics, Russian Academy of Sciences, 2 Academician Osipyan str., 142432 Chernogolovka, Russia; Landau Institute for Theoretical Physics, Russian Academy of Sciences, 1-A Akademika Semenova av., 142432 Chernogolovka, RussiaOsipyan Institute of Solid State Physics, Russian Academy of Sciences, 2 Academician Osipyan str., 142432 Chernogolovka, Russia; Landau Institute for Theoretical Physics, Russian Academy of Sciences, 1-A Akademika Semenova av., 142432 Chernogolovka, RussiaOsipyan Institute of Solid State Physics, Russian Academy of Sciences, 2 Academician Osipyan str., 142432 Chernogolovka, Russia; Landau Institute for Theoretical Physics, Russian Academy of Sciences, 1-A Akademika Semenova av., 142432 Chernogolovka, RussiaOsipyan Institute of Solid State Physics, Russian Academy of Sciences, 2 Academician Osipyan str., 142432 Chernogolovka, Russia; Landau Institute for Theoretical Physics, Russian Academy of Sciences, 1-A Akademika Semenova av., 142432 Chernogolovka, RussiaCorresponding author.; Osipyan Institute of Solid State Physics, Russian Academy of Sciences, 2 Academician Osipyan str., 142432 Chernogolovka, Russia; Landau Institute for Theoretical Physics, Russian Academy of Sciences, 1-A Akademika Semenova av., 142432 Chernogolovka, RussiaThe present article considers a theoretical model of the formation of the Pareto distribution in a system of two-dimensional polyamide structures on the water surface. Complexes of polyamide granules collide with each other on the surface, moving in background liquid flows caused by random thermal gradients in the liquid bulk. Small complexes with a size of fractions of mm become organized into clusters with a complex structure and a size of a few cm under the action of surface tension forces. Numerical calculation taking into account the decomposition of large clusters provides power-law distribution of the density of complexes over their area. The results of the theoretical calculation are confirmed by the experimental data.http://www.sciencedirect.com/science/article/pii/S2211379721007592Pareto distributionClusterizationSurface structure |
| spellingShingle | S.V. Filatov E.V. Lebedeva A.A. Levchenko L.P. Mezhov-Deglin A.V. Poplevin Pareto distribution in the system of polyamide particle clusters on the water surface Results in Physics Pareto distribution Clusterization Surface structure |
| title | Pareto distribution in the system of polyamide particle clusters on the water surface |
| title_full | Pareto distribution in the system of polyamide particle clusters on the water surface |
| title_fullStr | Pareto distribution in the system of polyamide particle clusters on the water surface |
| title_full_unstemmed | Pareto distribution in the system of polyamide particle clusters on the water surface |
| title_short | Pareto distribution in the system of polyamide particle clusters on the water surface |
| title_sort | pareto distribution in the system of polyamide particle clusters on the water surface |
| topic | Pareto distribution Clusterization Surface structure |
| url | http://www.sciencedirect.com/science/article/pii/S2211379721007592 |
| work_keys_str_mv | AT svfilatov paretodistributioninthesystemofpolyamideparticleclustersonthewatersurface AT evlebedeva paretodistributioninthesystemofpolyamideparticleclustersonthewatersurface AT aalevchenko paretodistributioninthesystemofpolyamideparticleclustersonthewatersurface AT lpmezhovdeglin paretodistributioninthesystemofpolyamideparticleclustersonthewatersurface AT avpoplevin paretodistributioninthesystemofpolyamideparticleclustersonthewatersurface |