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...
Збережено в:
| Дата: | 2014 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
2014
|
| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/153505 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-153505 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1535052019-06-15T01:27:36Z Exact asymptotic expansion for the resistance between the center node and a node on the cobweb network boundary Izmailian, N. Kenna, R. 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. 2014 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/153505 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Izmailian, N. Kenna, R. |
| spellingShingle |
Izmailian, N. Kenna, R. Exact asymptotic expansion for the resistance between the center node and a node on the cobweb network boundary Condensed Matter Physics |
| author_facet |
Izmailian, N. Kenna, R. |
| author_sort |
Izmailian, N. |
| title |
Exact asymptotic expansion for the resistance between the center node and a node on the cobweb network boundary |
| 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 |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Condensed Matter Physics |
| work_keys_str_mv |
AT izmailiann exactasymptoticexpansionfortheresistancebetweenthecenternodeandanodeonthecobwebnetworkboundary AT kennar exactasymptoticexpansionfortheresistancebetweenthecenternodeandanodeonthecobwebnetworkboundary |
| first_indexed |
2023-05-20T17:39:55Z |
| last_indexed |
2023-05-20T17:39:55Z |
| _version_ |
1796153802297966592 |