Phase transitions of a tethered surface model with a deficit angle term

Details Phase transitions of a tethered surface model with a deficit angle term Phase transitions of a tethered surface model with a deficit angle term

2004-11-09

arxiv.org/abs/cond-mat/0411211v2

Phys. Rev. E70 (2004) 066144

Physics

Condensed Matter

Statistical Mechanics

6 pages with 6 figures

Scientific paper

10.1103/PhysRevE.70.066144

Nambu-Goto model is investigated by using the canonical Monte Carlo simulations on fixed connectivity surfaces of spherical topology. Three distinct phases are found: crumpled, tubular, and smooth. The crumpled and the tubular phases are smoothly connected, and the tubular and the smooth phases are connected by a discontinuous transition. The surface in the tubular phase forms an oblong and one-dimensional object similar to a one-dimensional linear subspace in the Euclidean three-dimensional space R^3. This indicates that the rotational symmetry inherent in the model is spontaneously broken in the tubular phase, and it is restored in the smooth and the crumpled phases.

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