Collapsed 2-Dimensional Polymers on a Cylinder

Details Collapsed 2-Dimensional Polymers on a Cylinder Collapsed 2-Dimensional Polymers on a Cylinder

2002-10-03

arxiv.org/abs/cond-mat/0210078v1

J. Phys. A: Math. Gen. 35 (2002) L759-L766

Physics

Condensed Matter

Statistical Mechanics

4 pages, 8 figures

Scientific paper

10.1088/0305-4470/35/50/101

Single partially confined collapsed polymers are studied in two dimensions. They are described by self-avoiding random walks with nearest-neighbour attractions below the $\Theta$-point, on the surface of an infinitely long cylinder. For the simulations we employ the pruned-enriched-Rosenbluth method (PERM). The same model had previously been studied for free polymers (infinite lattice, no boundaries) and for polymers on finite lattices with periodic boundary conditions. We verify the previous estimates of bulk densities, bulk free energies, and surface tensions. We find that the free energy of a polymer with fixed length $N$ has, for $N\to \infty$, a minimum at a finite cylinder radius $R^*$ which diverges as $T\to T_\theta$. Furthermore, the surface tension vanishes roughly as $(T_\theta-T)^\alpha$ for $T\to T_\theta$ with $\alpha\approx 1.7$. The density in the interior of a globule scales as $(T_\theta-T)^\beta$ with $\beta \approx 0.32$.

Affiliated with

Also associated with

No associations

Rating

Collapsed 2-Dimensional Polymers on a Cylinder 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 Collapsed 2-Dimensional Polymers on a Cylinder, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Collapsed 2-Dimensional Polymers on a Cylinder will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-24604