The formation of Pareto distribution in tracer systems on the water surface
We experimentally studied a clusterization process in a system of polyamide tracers that are used for visualizing the flow of liquids on their surface. It was shown that in a surface structure system appearing on the water surface a Pareto distribution is formed for normalized cluster density and it...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-08-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379721005623 |
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| author | S.V. Filatov A.V. Poplevin A.A. Levchenko E.V. Lebedeva L.P. Mezhov-Deglin |
| author_facet | S.V. Filatov A.V. Poplevin A.A. Levchenko E.V. Lebedeva L.P. Mezhov-Deglin |
| author_sort | S.V. Filatov |
| collection | DOAJ |
| description | We experimentally studied a clusterization process in a system of polyamide tracers that are used for visualizing the flow of liquids on their surface. It was shown that in a surface structure system appearing on the water surface a Pareto distribution is formed for normalized cluster density and it is well described by a C∕x−npower-law function. One can suggest that the growth of a surface structure is defined by the action of surface tension forces, and the number of surface structures decreases exponentially, while maintaining their total surface area. We show experimentally the significant role of background liquid flows on the surface in the clusterization process. |
| first_indexed | 2024-12-19T06:32:22Z |
| format | Article |
| id | doaj.art-d3c752bb96064a8d9d008fd08d6ffa17 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-19T06:32:22Z |
| publishDate | 2021-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-d3c752bb96064a8d9d008fd08d6ffa172022-12-21T20:32:20ZengElsevierResults in Physics2211-37972021-08-0127104446The formation of Pareto distribution in tracer systems on the water surfaceS.V. Filatov0A.V. Poplevin1A.A. Levchenko2E.V. Lebedeva3L.P. Mezhov-Deglin4Corresponding author at: Institute of Solid State Physics, RAS, 142432, Russian Federation.; Institute of Solid State Physics, RAS, 142432, Russian Federation; Landau Institute for Theoretical Physics, RAS, 142432, Russian FederationInstitute of Solid State Physics, RAS, 142432, Russian Federation; Landau Institute for Theoretical Physics, RAS, 142432, Russian FederationInstitute of Solid State Physics, RAS, 142432, Russian Federation; Landau Institute for Theoretical Physics, RAS, 142432, Russian FederationInstitute of Solid State Physics, RAS, 142432, Russian Federation; Landau Institute for Theoretical Physics, RAS, 142432, Russian FederationInstitute of Solid State Physics, RAS, 142432, Russian Federation; Landau Institute for Theoretical Physics, RAS, 142432, Russian FederationWe experimentally studied a clusterization process in a system of polyamide tracers that are used for visualizing the flow of liquids on their surface. It was shown that in a surface structure system appearing on the water surface a Pareto distribution is formed for normalized cluster density and it is well described by a C∕x−npower-law function. One can suggest that the growth of a surface structure is defined by the action of surface tension forces, and the number of surface structures decreases exponentially, while maintaining their total surface area. We show experimentally the significant role of background liquid flows on the surface in the clusterization process.http://www.sciencedirect.com/science/article/pii/S2211379721005623Pareto distributionClusterizationSurface structure |
| spellingShingle | S.V. Filatov A.V. Poplevin A.A. Levchenko E.V. Lebedeva L.P. Mezhov-Deglin The formation of Pareto distribution in tracer systems on the water surface Results in Physics Pareto distribution Clusterization Surface structure |
| title | The formation of Pareto distribution in tracer systems on the water surface |
| title_full | The formation of Pareto distribution in tracer systems on the water surface |
| title_fullStr | The formation of Pareto distribution in tracer systems on the water surface |
| title_full_unstemmed | The formation of Pareto distribution in tracer systems on the water surface |
| title_short | The formation of Pareto distribution in tracer systems on the water surface |
| title_sort | formation of pareto distribution in tracer systems on the water surface |
| topic | Pareto distribution Clusterization Surface structure |
| url | http://www.sciencedirect.com/science/article/pii/S2211379721005623 |
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