Phase structure of a surface model with many fine holes

Details Phase structure of a surface model with many fine holes Phase structure of a surface model with many fine holes

2008-04-24

arxiv.org/abs/0804.3996v1

Euro. Phys. J. E 26, 301-308 (2008)

Physics

Condensed Matter

Statistical Mechanics

8 pages, 13 figures

Scientific paper

10.1140/epje/i2007-10327-8

We study the phase structure of a surface model by using the canonical Monte Carlo simulation technique on triangulated, fixed connectivity, and spherical surfaces with many fine holes. The size of a hole is assumed to be of the order of lattice spacing (or bond length) and hence can be negligible compared to the surface size in the thermodynamic limit. We observe in the numerical data that the model undergoes a first-order collapsing transition between the smooth phase and the collapsed phase. Moreover the Hasudorff dimension H remains in the physical bound, i.e., H<3 not only in the smooth phase but also in the collapsed phase at the transition point. The second observation is that the collapsing transition is accompanied by a continuous transition of surface fluctuations. This second result distinguishes the model in this paper and the previous one with many holes, whose size is of the order of the surface size, because the previous surface model with large-sized holes has only the collapsing transition and no transition of surface fluctuations.

Affiliated with

Also associated with

No associations

Rating

Phase structure of a surface model with many fine holes 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 Phase structure of a surface model with many fine holes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Phase structure of a surface model with many fine holes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-728039