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 |
|---|---|
| Datum: | 2014 |
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| Format: | Artikel |
| Sprache: | Englisch |
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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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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862672457348939776 |
|---|---|
| author | Frank, T.D. |
| author_facet | Frank, T.D. |
| 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. |
| collection | DSpace DC |
| container_title | Condensed Matter Physics |
| 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.
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| first_indexed | 2025-12-07T15:35:45Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152888 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1607-324X |
| language | English |
| last_indexed | 2025-12-07T15:35:45Z |
| publishDate | 2014 |
| publisher | Інститут фізики конденсованих систем НАН України |
| record_format | dspace |
| spelling | 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 |
| 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 | Exact solutions for chemical concentration waves of self-propelling camphor particles racing on a ring: A novel potential dynamics perspective |
| title_alt | Точнi розв’язки для хвиль хiмiчної концентрацiї самоурухомлювальних камфорних частинок, що рухаються по кiльцю: нова перспектива потенцiальної динамiки |
| 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152888 |
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