Exact asymptotic expansion for the resistance between the center node and a node on the cobweb network boundary
We analyze the resistance between two nodes in a cobweb network of resistors. Based on an exact expression, we derive the asymptotic expansions for the resistance between the center node and a node on the boundary of the M x N cobweb network with resistors r and s in the two spatial directions. All...
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| Опубліковано в: : | Condensed Matter Physics |
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| Дата: | 2014 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
2014
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/153505 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Exact asymptotic expansion for the resistance between the center node and a node on the cobweb network boundary / N. Izmailian, R. Kenna // Condensed Matter Physics. — 2014. — Т. 17, № 3. — С. 33008:1-8. — Бібліогр.: 34 назв.— англ. |
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nasplib_isofts_kiev_ua-123456789-153505 |
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Izmailian, N. Kenna, R. 2019-06-14T10:40:56Z 2019-06-14T10:40:56Z 2014 Exact asymptotic expansion for the resistance between the center node and a node on the cobweb network boundary / N. Izmailian, R. Kenna // Condensed Matter Physics. — 2014. — Т. 17, № 3. — С. 33008:1-8. — Бібліогр.: 34 назв.— англ. 1607-324X PACS: 05.50.+q, 05.60.Cd, 02.30.Mv DOI:10.5488/CMP.17.33008 arXiv:1405.0728 https://nasplib.isofts.kiev.ua/handle/123456789/153505 We analyze the resistance between two nodes in a cobweb network of resistors. Based on an exact expression, we derive the asymptotic expansions for the resistance between the center node and a node on the boundary of the M x N cobweb network with resistors r and s in the two spatial directions. All coefficients in this expansion are expressed through analytical functions. Ми аналiзуємо опiр мiж двома вузлами в павутиннiй мережi резисторiв. На основi точного виразу ми виводимо асимптотичнi розклади для опору мiж центральним вузлом i вузлом на границi павутинної мережi M ×N з резисторами r i s у двох просторових напрямках. Всi коефiцiєнти в цьому розкладi виражаються через аналiтичнi функцiї. The work was supported by a Marie Curie IIF (Project no. 300206–RAVEN) and IRSES (Projects no. 295302–SPIDER and 612707–DIONICOS) within 7th European Community Framework Programme and by the grant of the Science Committee of the Ministry of Science and Education of the Republic of Armenia under contract 13–1C080. en Інститут фізики конденсованих систем НАН України Condensed Matter Physics Exact asymptotic expansion for the resistance between the center node and a node on the cobweb network boundary Точний асимптотичний розклад для опору мiж центральним вузлом i вузлом на границi павутинної мережi Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Exact asymptotic expansion for the resistance between the center node and a node on the cobweb network boundary |
| spellingShingle |
Exact asymptotic expansion for the resistance between the center node and a node on the cobweb network boundary Izmailian, N. Kenna, R. |
| title_short |
Exact asymptotic expansion for the resistance between the center node and a node on the cobweb network boundary |
| title_full |
Exact asymptotic expansion for the resistance between the center node and a node on the cobweb network boundary |
| title_fullStr |
Exact asymptotic expansion for the resistance between the center node and a node on the cobweb network boundary |
| title_full_unstemmed |
Exact asymptotic expansion for the resistance between the center node and a node on the cobweb network boundary |
| title_sort |
exact asymptotic expansion for the resistance between the center node and a node on the cobweb network boundary |
| author |
Izmailian, N. Kenna, R. |
| author_facet |
Izmailian, N. Kenna, R. |
| publishDate |
2014 |
| language |
English |
| container_title |
Condensed Matter Physics |
| publisher |
Інститут фізики конденсованих систем НАН України |
| format |
Article |
| title_alt |
Точний асимптотичний розклад для опору мiж центральним вузлом i вузлом на границi павутинної мережi |
| description |
We analyze the resistance between two nodes in a cobweb network of resistors. Based on an exact expression, we derive the asymptotic expansions for the resistance between the center node and a node on the boundary of the M x N cobweb network with resistors r and s in the two spatial directions. All coefficients in this expansion are expressed through analytical functions.
Ми аналiзуємо опiр мiж двома вузлами в павутиннiй мережi резисторiв. На основi точного виразу ми
виводимо асимптотичнi розклади для опору мiж центральним вузлом i вузлом на границi павутинної
мережi M ×N з резисторами r i s у двох просторових напрямках. Всi коефiцiєнти в цьому розкладi виражаються через аналiтичнi функцiї.
|
| issn |
1607-324X |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/153505 |
| citation_txt |
Exact asymptotic expansion for the resistance between the center node and a node on the cobweb network boundary / N. Izmailian, R. Kenna // Condensed Matter Physics. — 2014. — Т. 17, № 3. — С. 33008:1-8. — Бібліогр.: 34 назв.— англ. |
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2025-12-07T16:59:34Z |
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