Non-Gaussian behaviour of a self-propelled particle on a substrate
The overdamped Brownian motion of a self-propelled particle which is driven by a projected internal force is studied by solving the Langevin equation analytically. The active particle under study is restricted to move along a linear channel. The direction of its internal force is orientationally...
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| Дата: | 2009 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
2009
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/120556 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Non-Gaussian behaviour of a self-propelled particle on a substrate / B. ten Hagen, S. van Teeffelen, H. Löwen // Condensed Matter Physics. — 2009. — Т. 12, № 4. — С. 725-738. — Бібліогр.: 42 назв. — англ. |
Репозитарії
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irk-123456789-1205562017-06-13T03:05:54Z Non-Gaussian behaviour of a self-propelled particle on a substrate ten Hagen, B. van Teeffelen, S. Löwen, H. The overdamped Brownian motion of a self-propelled particle which is driven by a projected internal force is studied by solving the Langevin equation analytically. The active particle under study is restricted to move along a linear channel. The direction of its internal force is orientationally diffusing on a unit circle in a plane perpendicular to the substrate. An additional time-dependent torque is acting on the internal force orientation. The model is relevant for active particles like catalytically driven Janus particles and bacteria moving on a substrate. Analytical results for the rst four time-dependent displacement moments are presented and analysed for several special situations. For a vanishing torque, there is a significant dynamical non-Gaussian behaviour at finite times t as signalled by a non-vanishing normalized kurtosis in the particle displacement which approaches zero for long time with a 1/t long-time tail. На основi знаходження аналiтичного розв’язку рiвняння Ланжевена дослiджується згасаючий броунiвський рух самохiдної частинки, що керується вiдпроектованою внутрiшньою силою. Рух такої “активної” частинки обмежується вздовж лiнiйного каналу, а напрямок внутрiшньої сили, що дiє на неї, орiєнтацiйно дифундує на одиничному колi в площинi, перпендикулярнiй до субстрату. Додатковий залежний вiд часу момент сили також впливає на орiєнтацiю внутрiшньої сили. Така модель є актуальною для активних частинок на кшталт каталiтично керованих частинок Януса або ж бактерiй, що рухаються на поверхнi субстрату. Для чотирьох перших моментiв змiщення частинки отримано аналiтичнi результати, якi аналiзуються для кiлькох спецiальних ситуацiй. Для моменту сил, що прямує до нуля, спостерiгається цiкава негаусова динамiчна поведiнка при скiнчених часах t, про що сигналiзує незникаюча величина нормалiзованого коефiцiєнта ексцесу , який спадає як 1/t при великих часах. 2009 Article Non-Gaussian behaviour of a self-propelled particle on a substrate / B. ten Hagen, S. van Teeffelen, H. Löwen // Condensed Matter Physics. — 2009. — Т. 12, № 4. — С. 725-738. — Бібліогр.: 42 назв. — англ. 1607-324X PACS: 82.70.Dd, 05.40.Jc DOI:10.5488/CMP.12.4.725 http://dspace.nbuv.gov.ua/handle/123456789/120556 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 |
The overdamped Brownian motion of a self-propelled particle which is driven by a projected internal force is
studied by solving the Langevin equation analytically. The active particle under study is restricted to move
along a linear channel. The direction of its internal force is orientationally diffusing on a unit circle in a plane
perpendicular to the substrate. An additional time-dependent torque is acting on the internal force orientation.
The model is relevant for active particles like catalytically driven Janus particles and bacteria moving on
a substrate. Analytical results for the rst four time-dependent displacement moments are presented and
analysed for several special situations. For a vanishing torque, there is a significant dynamical non-Gaussian
behaviour at finite times t as signalled by a non-vanishing normalized kurtosis in the particle displacement
which approaches zero for long time with a 1/t long-time tail. |
| format |
Article |
| author |
ten Hagen, B. van Teeffelen, S. Löwen, H. |
| spellingShingle |
ten Hagen, B. van Teeffelen, S. Löwen, H. Non-Gaussian behaviour of a self-propelled particle on a substrate Condensed Matter Physics |
| author_facet |
ten Hagen, B. van Teeffelen, S. Löwen, H. |
| author_sort |
ten Hagen, B. |
| title |
Non-Gaussian behaviour of a self-propelled particle on a substrate |
| title_short |
Non-Gaussian behaviour of a self-propelled particle on a substrate |
| title_full |
Non-Gaussian behaviour of a self-propelled particle on a substrate |
| title_fullStr |
Non-Gaussian behaviour of a self-propelled particle on a substrate |
| title_full_unstemmed |
Non-Gaussian behaviour of a self-propelled particle on a substrate |
| title_sort |
non-gaussian behaviour of a self-propelled particle on a substrate |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/120556 |
| citation_txt |
Non-Gaussian behaviour of a self-propelled particle on a substrate / B. ten Hagen, S. van Teeffelen, H. Löwen // Condensed Matter Physics. — 2009. — Т. 12, № 4. — С. 725-738. — Бібліогр.: 42 назв. — англ. |
| series |
Condensed Matter Physics |
| work_keys_str_mv |
AT tenhagenb nongaussianbehaviourofaselfpropelledparticleonasubstrate AT vanteeffelens nongaussianbehaviourofaselfpropelledparticleonasubstrate AT lowenh nongaussianbehaviourofaselfpropelledparticleonasubstrate |
| first_indexed |
2023-10-18T20:37:20Z |
| last_indexed |
2023-10-18T20:37:20Z |
| _version_ |
1796150681985351680 |