Exact Partition Function for the Random Walk of an Electrostatic Field
The partition function for the random walk of an electrostatic field produced by several static parallel infinite charged planes in which the charge distribution could be either ±σ is obtained. We find the electrostatic energy of the system and show that it can be analyzed through generalized Dyck p...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/6970870 |
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| _version_ | 1849304336964780032 |
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| author | Gabriel González |
| author_facet | Gabriel González |
| author_sort | Gabriel González |
| collection | DOAJ |
| description | The partition function for the random walk of an electrostatic field produced by several static parallel infinite charged planes in which the charge distribution could be either ±σ is obtained. We find the electrostatic energy of the system and show that it can be analyzed through generalized Dyck paths. The relation between the electrostatic field and generalized Dyck paths allows us to sum overall possible electrostatic field configurations and is used for obtaining the partition function of the system. We illustrate our results with one example. |
| format | Article |
| id | doaj-art-10d77c176131447cb6efaf3af20eee8a |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-10d77c176131447cb6efaf3af20eee8a2025-08-20T03:55:45ZengWileyAdvances in Mathematical Physics1687-91201687-91392017-01-01201710.1155/2017/69708706970870Exact Partition Function for the Random Walk of an Electrostatic FieldGabriel González0Cátedras CONACYT, Universidad Autónoma de San Luis Potosí, 78000 San Luis Potosí, SLP, MexicoThe partition function for the random walk of an electrostatic field produced by several static parallel infinite charged planes in which the charge distribution could be either ±σ is obtained. We find the electrostatic energy of the system and show that it can be analyzed through generalized Dyck paths. The relation between the electrostatic field and generalized Dyck paths allows us to sum overall possible electrostatic field configurations and is used for obtaining the partition function of the system. We illustrate our results with one example.http://dx.doi.org/10.1155/2017/6970870 |
| spellingShingle | Gabriel González Exact Partition Function for the Random Walk of an Electrostatic Field Advances in Mathematical Physics |
| title | Exact Partition Function for the Random Walk of an Electrostatic Field |
| title_full | Exact Partition Function for the Random Walk of an Electrostatic Field |
| title_fullStr | Exact Partition Function for the Random Walk of an Electrostatic Field |
| title_full_unstemmed | Exact Partition Function for the Random Walk of an Electrostatic Field |
| title_short | Exact Partition Function for the Random Walk of an Electrostatic Field |
| title_sort | exact partition function for the random walk of an electrostatic field |
| url | http://dx.doi.org/10.1155/2017/6970870 |
| work_keys_str_mv | AT gabrielgonzalez exactpartitionfunctionfortherandomwalkofanelectrostaticfield |