Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2006-01-16
Eur. Phys. J. E 19, 461 (2006)
Physics
Condensed Matter
Soft Condensed Matter
9 pages, 8 figures
Scientific paper
10.1140/epje/i2006-10003-7
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 $ \sim N$, to a smooth state with $\sim N^2$. The transition belongs to the mean-field universality class. At the critical point a new state of polymer statistics is found, in which $\sim N^{3/2}$. For $p>>p_c$ we use a transfer-matrix calculation to derive exact expressions for the properties of the smooth state.
Diamant Haim
Haleva Emir
No associations
LandOfFree
Smoothening Transition of a Two-Dimensional Pressurized Polymer Ring does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Smoothening Transition of a Two-Dimensional Pressurized Polymer Ring, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Smoothening Transition of a Two-Dimensional Pressurized Polymer Ring will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-523999