Saddle-node bifurcation to jammed state for quasi-one-dimensional counter-chemotactic flow
Physical Review E 82 巻 2 号
015102-1-015102-4 頁
2010 発行
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| ファイル情報(添付) | |
| タイトル ( eng ) |
Saddle-node bifurcation to jammed state for quasi-one-dimensional counter-chemotactic flow
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| 作成者 | |
| 収録物名 |
Physical Review E
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| 巻 | 82 |
| 号 | 2 |
| 開始ページ | 015102-1 |
| 終了ページ | 015102-4 |
| 抄録 |
The transition of a counter-chemotactic particle flow from a free-flow state to a jammed state in a quasi-one-dimensional path is investigated. One of the characteristic features of such a flow is that the constituent particles spontaneously form a cluster that blocks the path, called a path-blocking cluster (PBC), and causes a jammed state when the particle density is greater than a threshold value. Near the threshold value, the PBC occasionally collapses on itself to recover the free flow. In other words, the time evolution of the size of the PBC governs the flux of a counter-chemotactic flow. In this Rapid Communication, on the basis of numerical results of a stochastic cellular automata (SCA) model, we introduce a Langevin equation model for the size evolution of the PBC that reproduces the qualitative characteristics of the SCA model. The results suggest that the emergence of the jammed state in a quasi-one-dimensional counterflow is caused by a saddle-node bifurcation.
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| NDC分類 |
物理学 [ 420 ]
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| 言語 |
英語
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| 資源タイプ | 学術雑誌論文 |
| 出版者 |
The American Physical Society
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| 発行日 | 2010 |
| 権利情報 |
Copyright (c) 2010 The American Physical Society
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| 出版タイプ | Version of Record（出版社版。早期公開を含む） |
| アクセス権 | オープンアクセス |
| 収録物識別子 |
[ISSN] 1539-3755
[DOI] 10.1103/PhysRevE.82.015102
[NCID] AA11558033
[DOI] http://dx.doi.org/10.1103/PhysRevE.82.015102
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