One-Dimensional Coulomb Multiparticle Systems
We consider the system of particles with equal charges and nearest neighbour Coulomb interaction on the interval. We study local properties of this system, in particular the distribution of distances between neighbouring charges. For zero temperature case there is sufficiently complete picture and w...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/857846 |
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| author | V. A. Malyshev A. A. Zamyatin |
| author_facet | V. A. Malyshev A. A. Zamyatin |
| author_sort | V. A. Malyshev |
| collection | DOAJ |
| description | We consider the system of particles with equal charges and nearest neighbour Coulomb interaction on the interval. We study local properties of this system, in particular the distribution of distances between neighbouring charges. For zero temperature case there is sufficiently complete picture and we give a short review. For Gibbs distribution the situation is more difficult and we present two related results. |
| format | Article |
| id | doaj-art-f4080672572447fda45af783d6c7b993 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-f4080672572447fda45af783d6c7b9932025-02-03T01:21:28ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/857846857846One-Dimensional Coulomb Multiparticle SystemsV. A. Malyshev0A. A. Zamyatin1Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Leninskie Gory, Main Building 1, Moscow 119991, RussiaFaculty of Mechanics and Mathematics, Lomonosov Moscow State University, Leninskie Gory, Main Building 1, Moscow 119991, RussiaWe consider the system of particles with equal charges and nearest neighbour Coulomb interaction on the interval. We study local properties of this system, in particular the distribution of distances between neighbouring charges. For zero temperature case there is sufficiently complete picture and we give a short review. For Gibbs distribution the situation is more difficult and we present two related results.http://dx.doi.org/10.1155/2015/857846 |
| spellingShingle | V. A. Malyshev A. A. Zamyatin One-Dimensional Coulomb Multiparticle Systems Advances in Mathematical Physics |
| title | One-Dimensional Coulomb Multiparticle Systems |
| title_full | One-Dimensional Coulomb Multiparticle Systems |
| title_fullStr | One-Dimensional Coulomb Multiparticle Systems |
| title_full_unstemmed | One-Dimensional Coulomb Multiparticle Systems |
| title_short | One-Dimensional Coulomb Multiparticle Systems |
| title_sort | one dimensional coulomb multiparticle systems |
| url | http://dx.doi.org/10.1155/2015/857846 |
| work_keys_str_mv | AT vamalyshev onedimensionalcoulombmultiparticlesystems AT aazamyatin onedimensionalcoulombmultiparticlesystems |