Percolation of the prolate ellipsoids of rotation in the continuum
Continuum percolation of the hard prolate ellipsoids of rotation with permeable shell has been investigated. It is the model of phase transition sol–gel. Ellipsoids are located in the cube randomly. For each set of parameters 100 tests are spent. For each test the finding of the percolation cluster...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Samara State Technical University
2012-12-01
|
| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Online Access: | http://mi.mathnet.ru/eng/vsgtu1095 |
| _version_ | 1829115433865707520 |
|---|---|
| author | M. M. Buzmakova |
| author_facet | M. M. Buzmakova |
| author_sort | M. M. Buzmakova |
| collection | DOAJ |
| description | Continuum percolation of the hard prolate ellipsoids of rotation with permeable shell has been investigated. It is the model of phase transition sol–gel. Ellipsoids are located in the cube randomly. For each set of parameters 100 tests are spent. For each test the finding of the percolation cluster is the main task. The fraction of the packing for which the probability of the percolation cluster appearance is equal 0.5, is called a percolation threshold. Value of the percolation threshold corresponds to the gel point. Dependence of value of the percolation threshold on thickness of permeable shell and aspect ratio has been obtained. In addition to the percolation threshold the other characteristics of the model have been obtained, such as: the size distribution of clusters, the average cluster size, the strength and the fractal dimension of the percolation cluster, the average value and the distribution of neighbors of an element, the critical exponents. |
| first_indexed | 2024-12-12T16:15:42Z |
| format | Article |
| id | doaj.art-2ac61960936a459faf173ea1f56da416 |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-12-12T16:15:42Z |
| publishDate | 2012-12-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-2ac61960936a459faf173ea1f56da4162022-12-22T00:19:06ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812012-12-014(29)14615310.14498/vsgtu1095Percolation of the prolate ellipsoids of rotation in the continuumM. M. BuzmakovaContinuum percolation of the hard prolate ellipsoids of rotation with permeable shell has been investigated. It is the model of phase transition sol–gel. Ellipsoids are located in the cube randomly. For each set of parameters 100 tests are spent. For each test the finding of the percolation cluster is the main task. The fraction of the packing for which the probability of the percolation cluster appearance is equal 0.5, is called a percolation threshold. Value of the percolation threshold corresponds to the gel point. Dependence of value of the percolation threshold on thickness of permeable shell and aspect ratio has been obtained. In addition to the percolation threshold the other characteristics of the model have been obtained, such as: the size distribution of clusters, the average cluster size, the strength and the fractal dimension of the percolation cluster, the average value and the distribution of neighbors of an element, the critical exponents.http://mi.mathnet.ru/eng/vsgtu1095 |
| spellingShingle | M. M. Buzmakova Percolation of the prolate ellipsoids of rotation in the continuum Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| title | Percolation of the prolate ellipsoids of rotation in the continuum |
| title_full | Percolation of the prolate ellipsoids of rotation in the continuum |
| title_fullStr | Percolation of the prolate ellipsoids of rotation in the continuum |
| title_full_unstemmed | Percolation of the prolate ellipsoids of rotation in the continuum |
| title_short | Percolation of the prolate ellipsoids of rotation in the continuum |
| title_sort | percolation of the prolate ellipsoids of rotation in the continuum |
| url | http://mi.mathnet.ru/eng/vsgtu1095 |
| work_keys_str_mv | AT mmbuzmakova percolationoftheprolateellipsoidsofrotationinthecontinuum |