On bimodal size distribution of spin clusters in the onedimensional Ising model
The size distribution of geometrical spin clusters is exactly found for the onedimensional Ising model of finite extent. For the values of lattice constant β above some “critical value” βc the found size distribution demonstrates the non-monotonic behaviour with the peak corresponding to the size of...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2018-01-01
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| Series: | EPJ Web of Conferences |
| Online Access: | https://doi.org/10.1051/epjconf/201818203004 |
| _version_ | 1818652055439409152 |
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| author | Ivanytskyi A. Chelnokov V. |
| author_facet | Ivanytskyi A. Chelnokov V. |
| author_sort | Ivanytskyi A. |
| collection | DOAJ |
| description | The size distribution of geometrical spin clusters is exactly found for the onedimensional Ising model of finite extent. For the values of lattice constant β above some “critical value” βc the found size distribution demonstrates the non-monotonic behaviour with the peak corresponding to the size of the largest available cluster. In other words, for high values of the lattice constant there are two ways to fill the lattice: either to form a single largest cluster or to create many clusters of small sizes. This feature closely resembles the well-know bimodal size distribution of clusters which is usually interpreted as a robust signal of the first order liquid-gas phase transition in finite systems. It is remarkable that the bimodal size distribution of spin clusters appears in the one-dimensional Ising model of finite size, i.e. in the model which in thermodynamic limit has no phase transition at all. |
| first_indexed | 2024-12-17T02:15:55Z |
| format | Article |
| id | doaj.art-e1d38468742a42e9aa812a9763fd643c |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-12-17T02:15:55Z |
| publishDate | 2018-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-e1d38468742a42e9aa812a9763fd643c2022-12-21T22:07:25ZengEDP SciencesEPJ Web of Conferences2100-014X2018-01-011820300410.1051/epjconf/201818203004epjconf_icnfp2018_03004On bimodal size distribution of spin clusters in the onedimensional Ising modelIvanytskyi A.Chelnokov V.The size distribution of geometrical spin clusters is exactly found for the onedimensional Ising model of finite extent. For the values of lattice constant β above some “critical value” βc the found size distribution demonstrates the non-monotonic behaviour with the peak corresponding to the size of the largest available cluster. In other words, for high values of the lattice constant there are two ways to fill the lattice: either to form a single largest cluster or to create many clusters of small sizes. This feature closely resembles the well-know bimodal size distribution of clusters which is usually interpreted as a robust signal of the first order liquid-gas phase transition in finite systems. It is remarkable that the bimodal size distribution of spin clusters appears in the one-dimensional Ising model of finite size, i.e. in the model which in thermodynamic limit has no phase transition at all.https://doi.org/10.1051/epjconf/201818203004 |
| spellingShingle | Ivanytskyi A. Chelnokov V. On bimodal size distribution of spin clusters in the onedimensional Ising model EPJ Web of Conferences |
| title | On bimodal size distribution of spin clusters in the onedimensional Ising model |
| title_full | On bimodal size distribution of spin clusters in the onedimensional Ising model |
| title_fullStr | On bimodal size distribution of spin clusters in the onedimensional Ising model |
| title_full_unstemmed | On bimodal size distribution of spin clusters in the onedimensional Ising model |
| title_short | On bimodal size distribution of spin clusters in the onedimensional Ising model |
| title_sort | on bimodal size distribution of spin clusters in the onedimensional ising model |
| url | https://doi.org/10.1051/epjconf/201818203004 |
| work_keys_str_mv | AT ivanytskyia onbimodalsizedistributionofspinclustersintheonedimensionalisingmodel AT chelnokovv onbimodalsizedistributionofspinclustersintheonedimensionalisingmodel |