Transfer matrix simulation of hard-core lattice gases on triangular lattice with up to third-neighbour exclusion
The hard-core lattice gas on a triangular lattice with up to thirdneighbour exclusion has been simulated by the transfer matrix method. To calculate the transfer matrix a special algorithm for generating rings is used. The algorithm is based on the selection of admissible states of rings directly...
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| Format: | Article |
| Language: | English |
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Omsk State Technical University, Federal State Autonoumos Educational Institution of Higher Education
2018-07-01
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| Series: | Омский научный вестник |
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| Online Access: | https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2018/3%20(159)/118-122%20%D0%9C%D1%8B%D1%88%D0%BB%D1%8F%D0%B2%D1%86%D0%B5%D0%B2%20%D0%90.%20%D0%92.,%20%D0%9C%D1%8B%D1%88%D0%BB%D1%8F%D0%B2%D1%86%D0%B5%D0%B2%D0%B0%20%D0%9C.%20%D0%94..pdf |
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| author | A. V. Myshlyavtsev M. D. Myshlyavtseva |
| author_facet | A. V. Myshlyavtsev M. D. Myshlyavtseva |
| author_sort | A. V. Myshlyavtsev |
| collection | DOAJ |
| description | The hard-core lattice gas on a triangular lattice with up to thirdneighbour exclusion has been simulated by the transfer matrix
method. To calculate the transfer matrix a special algorithm for
generating rings is used. The algorithm is based on the selection
of admissible states of rings directly in the process of their
construction. This approach allows us to increase the available
sizes of rings. Isotherms have been constructed for all three
models. For the first and second models, the previously obtained
results are reproduced. For the third model, it is found that there
is a first-order phase transition and the unit cell size of the ordered
phase is equal to seven. |
| format | Article |
| id | doaj-art-8dec3fa1948a4e859b01cbc43af333f0 |
| institution | Kabale University |
| issn | 1813-8225 2541-7541 |
| language | English |
| publishDate | 2018-07-01 |
| publisher | Omsk State Technical University, Federal State Autonoumos Educational Institution of Higher Education |
| record_format | Article |
| series | Омский научный вестник |
| spelling | doaj-art-8dec3fa1948a4e859b01cbc43af333f02025-02-03T01:45:55ZengOmsk State Technical University, Federal State Autonoumos Educational Institution of Higher EducationОмский научный вестник1813-82252541-75412018-07-013 (159)11812210.25206/1813-8225-2018-159-118-122Transfer matrix simulation of hard-core lattice gases on triangular lattice with up to third-neighbour exclusionA. V. Myshlyavtsev0M. D. Myshlyavtseva1Omsk State Technical UniversityOmsk State Technical UniversityThe hard-core lattice gas on a triangular lattice with up to thirdneighbour exclusion has been simulated by the transfer matrix method. To calculate the transfer matrix a special algorithm for generating rings is used. The algorithm is based on the selection of admissible states of rings directly in the process of their construction. This approach allows us to increase the available sizes of rings. Isotherms have been constructed for all three models. For the first and second models, the previously obtained results are reproduced. For the third model, it is found that there is a first-order phase transition and the unit cell size of the ordered phase is equal to seven.https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2018/3%20(159)/118-122%20%D0%9C%D1%8B%D1%88%D0%BB%D1%8F%D0%B2%D1%86%D0%B5%D0%B2%20%D0%90.%20%D0%92.,%20%D0%9C%D1%8B%D1%88%D0%BB%D1%8F%D0%B2%D1%86%D0%B5%D0%B2%D0%B0%20%D0%9C.%20%D0%94..pdfphase transitionstransfer matrix methodtriangular latticehard-core lattice gas |
| spellingShingle | A. V. Myshlyavtsev M. D. Myshlyavtseva Transfer matrix simulation of hard-core lattice gases on triangular lattice with up to third-neighbour exclusion Омский научный вестник phase transitions transfer matrix method triangular lattice hard-core lattice gas |
| title | Transfer matrix simulation of hard-core lattice gases on triangular lattice with up to third-neighbour exclusion |
| title_full | Transfer matrix simulation of hard-core lattice gases on triangular lattice with up to third-neighbour exclusion |
| title_fullStr | Transfer matrix simulation of hard-core lattice gases on triangular lattice with up to third-neighbour exclusion |
| title_full_unstemmed | Transfer matrix simulation of hard-core lattice gases on triangular lattice with up to third-neighbour exclusion |
| title_short | Transfer matrix simulation of hard-core lattice gases on triangular lattice with up to third-neighbour exclusion |
| title_sort | transfer matrix simulation of hard core lattice gases on triangular lattice with up to third neighbour exclusion |
| topic | phase transitions transfer matrix method triangular lattice hard-core lattice gas |
| url | https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2018/3%20(159)/118-122%20%D0%9C%D1%8B%D1%88%D0%BB%D1%8F%D0%B2%D1%86%D0%B5%D0%B2%20%D0%90.%20%D0%92.,%20%D0%9C%D1%8B%D1%88%D0%BB%D1%8F%D0%B2%D1%86%D0%B5%D0%B2%D0%B0%20%D0%9C.%20%D0%94..pdf |
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