Exact solutions for chemical concentration waves of self-propelling camphor particles racing on a ring: A novel potential dynamics perspective
A potential dynamics approach is developed to determine the periodic standing and traveling wave patterns associated with self-propelling camphor objects floating on ring-shaped water channels. Exact solutions of the wave patterns are derived. The bifurcation diagram describing the transition betwee...
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| Дата: | 2014 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
2014
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/152888 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Exact solutions for chemical concentration waves of self-propelling camphor particles racing on a ring: A novel potential dynamics perspective / T.D. Frank // Condensed Matter Physics. — 2014. — Т. 17, № 4. — С. 43002: 1–12 — Бібліогр.: 28 назв. — англ. |
Репозитарії
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irk-123456789-1528882019-06-14T01:25:26Z Exact solutions for chemical concentration waves of self-propelling camphor particles racing on a ring: A novel potential dynamics perspective Frank, T.D. A potential dynamics approach is developed to determine the periodic standing and traveling wave patterns associated with self-propelling camphor objects floating on ring-shaped water channels. Exact solutions of the wave patterns are derived. The bifurcation diagram describing the transition between the immobile and self-propelling modes of camphor objects is derived semi-analytically. The bifurcation is of a pitchfork type which is consistent with earlier theoretical work in which natural boundary conditions have been considered. Розвинуто метод потенцiальної динамiки для того, щоб вивчити картини перiодичних стоячих i бiжучих хвиль, пов’язаних iз самоурухомлювальними камфорними об’єктами, якi рухаються на кiльцеподiбних водяних каналах. Отримано точнi розв’язки хвильвових картин. Отримано напiваналiтично дiаграму бiфуркацiї, яка описує перехiд мiж нерухомою i самоурухомлювальною модами камфорних об’єктiв. Бiфуркацiя є вилоподiбна, що узгоджується з попередньою теоретичною роботою, в якiй розглянуто природнi граничнi умови. 2014 Article Exact solutions for chemical concentration waves of self-propelling camphor particles racing on a ring: A novel potential dynamics perspective / T.D. Frank // Condensed Matter Physics. — 2014. — Т. 17, № 4. — С. 43002: 1–12 — Бібліогр.: 28 назв. — англ. 1607-324X PACS: 05.45.-a, 82.40.Ck DOI:10.5488/CMP.17.43002 arXiv:1501.03468 http://dspace.nbuv.gov.ua/handle/123456789/152888 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 |
A potential dynamics approach is developed to determine the periodic standing and traveling wave patterns associated with self-propelling camphor objects floating on ring-shaped water channels. Exact solutions of the wave patterns are derived. The bifurcation diagram describing the transition between the immobile and self-propelling modes of camphor objects is derived semi-analytically. The bifurcation is of a pitchfork type which is consistent with earlier theoretical work in which natural boundary conditions have been considered. |
| format |
Article |
| author |
Frank, T.D. |
| spellingShingle |
Frank, T.D. Exact solutions for chemical concentration waves of self-propelling camphor particles racing on a ring: A novel potential dynamics perspective Condensed Matter Physics |
| author_facet |
Frank, T.D. |
| author_sort |
Frank, T.D. |
| title |
Exact solutions for chemical concentration waves of self-propelling camphor particles racing on a ring: A novel potential dynamics perspective |
| title_short |
Exact solutions for chemical concentration waves of self-propelling camphor particles racing on a ring: A novel potential dynamics perspective |
| title_full |
Exact solutions for chemical concentration waves of self-propelling camphor particles racing on a ring: A novel potential dynamics perspective |
| title_fullStr |
Exact solutions for chemical concentration waves of self-propelling camphor particles racing on a ring: A novel potential dynamics perspective |
| title_full_unstemmed |
Exact solutions for chemical concentration waves of self-propelling camphor particles racing on a ring: A novel potential dynamics perspective |
| title_sort |
exact solutions for chemical concentration waves of self-propelling camphor particles racing on a ring: a novel potential dynamics perspective |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/152888 |
| citation_txt |
Exact solutions for chemical concentration waves of
self-propelling camphor particles racing on a ring: A
novel potential dynamics perspective
/ T.D. Frank // Condensed Matter Physics. — 2014. — Т. 17, № 4. — С. 43002: 1–12 — Бібліогр.: 28 назв. — англ. |
| series |
Condensed Matter Physics |
| work_keys_str_mv |
AT franktd exactsolutionsforchemicalconcentrationwavesofselfpropellingcamphorparticlesracingonaringanovelpotentialdynamicsperspective |
| first_indexed |
2023-05-20T17:39:48Z |
| last_indexed |
2023-05-20T17:39:48Z |
| _version_ |
1796153807431794688 |