Smoothening Transition of a Two-Dimensional Pressurized Polymer Ring
| dc.creator | Haleva, Emir | |
| dc.creator | Diamant, Haim | |
| dc.date | 2006-01-16 | |
| dc.date | 2006-01-17 | |
| dc.date.accessioned | 2026-07-07T06:57:35Z | |
| dc.date.available | 2026-07-07T06:57:35Z | |
| dc.description | We revisit the problem of a two-dimensional polymer ring subject to an inflating pressure differential. The ring is modeled as a freely jointed closed chain of N monomers. Using a Flory argument, mean-field calculation and Monte Carlo simulations, we show that at a critical pressure, $p_c \sim N^{-1}$, the ring undergoes a second-order phase transition from a crumpled, random-walk state, where its mean area scales as $<A> \sim N$, to a smooth state with $<A>\sim N^2$. The transition belongs to the mean-field universality class. At the critical point a new state of polymer statistics is found, in which $<A>\sim N^{3/2}$. For $p>>p_c$ we use a transfer-matrix calculation to derive exact expressions for the properties of the smooth state. | |
| dc.description | 9 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0601345 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0601345 | |
| dc.identifier | Eur. Phys. J. E 19, 461 (2006) | |
| dc.identifier | doi:10.1140/epje/i2006-10003-7 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107023 | |
| dc.subject | Soft Condensed Matter | |
| dc.subject | Statistical Mechanics | |
| dc.title | Smoothening Transition of a Two-Dimensional Pressurized Polymer Ring | |
| dc.type | text |