Accurate statistics of a flexible polymer chain in shear flow
| dc.creator | Das, Dibyendu | |
| dc.creator | Sabhapandit, Sanjib | |
| dc.date | 2008-09-12 | |
| dc.date | 2008-11-13 | |
| dc.date.accessioned | 2026-07-07T10:17:37Z | |
| dc.date.available | 2026-07-07T10:17:37Z | |
| dc.description | We present exact and analytically accurate results for the problem of a flexible polymer chain in shear flow. Under such a flow the polymer tumbles, and the probability distribution of the tumbling times $τ$ of the polymer decays exponentially as $\sim \exp(-ατ/τ_0)$ (where $τ_0$ is the longest relaxation time). We show that for a Rouse chain, this nontrivial constant $α$ can be calculated in the limit of large Weissenberg number (high shear rate) and is in excellent agreement with our simulation result of $α\simeq 0.324$. We also derive exactly the distribution functions for the length and the orientational angles of the end-to-end vector of the polymer. | |
| dc.description | 4 pages, 2 figures. Minor changes. Texts differ slightly from the PRL published version | |
| dc.identifier | https://arxiv.org/abs/0809.2131 | |
| dc.identifier | http://arxiv.org/abs/0809.2131 | |
| dc.identifier | Phys. Rev. Lett. 101, 188301 (2008) | |
| dc.identifier | doi:10.1103/PhysRevLett.101.188301 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/173914 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Soft Condensed Matter | |
| dc.title | Accurate statistics of a flexible polymer chain in shear flow | |
| dc.type | text |