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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| Veröffentlicht in: | Condensed Matter Physics |
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| Datum: | 2014 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут фізики конденсованих систем НАН України
2014
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/152888 |
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| Zitieren: | 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. |
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Frank, T.D. 2019-06-13T09:49:16Z 2019-06-13T09:49:16Z 2014 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 https://nasplib.isofts.kiev.ua/handle/123456789/152888 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. Preparation of this manuscript was supported in part by National Science Foundation under the INSPIRE track, grant BCS-SBE-1344275. en Інститут фізики конденсованих систем НАН України Condensed Matter Physics Exact solutions for chemical concentration waves of self-propelling camphor particles racing on a ring: A novel potential dynamics perspective Точнi розв’язки для хвиль хiмiчної концентрацiї самоурухомлювальних камфорних частинок, що рухаються по кiльцю: нова перспектива потенцiальної динамiки Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| title |
Exact solutions for chemical concentration waves of self-propelling camphor particles racing on a ring: A novel potential dynamics perspective |
| spellingShingle |
Exact solutions for chemical concentration waves of self-propelling camphor particles racing on a ring: A novel potential dynamics perspective Frank, T.D. |
| 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 |
| author |
Frank, T.D. |
| author_facet |
Frank, T.D. |
| publishDate |
2014 |
| language |
English |
| container_title |
Condensed Matter Physics |
| publisher |
Інститут фізики конденсованих систем НАН України |
| format |
Article |
| title_alt |
Точнi розв’язки для хвиль хiмiчної концентрацiї самоурухомлювальних камфорних частинок, що рухаються по кiльцю: нова перспектива потенцiальної динамiки |
| 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.
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.
|
| issn |
1607-324X |
| url |
https://nasplib.isofts.kiev.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. |
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2025-12-07T15:35:45Z |
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