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

Hiroshi Koibuchi; Zion Sasaki; Keisuke Shinohara

doi:10.1103/physreve.70.066144

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

Hiroshi Koibuchi·Zion Sasaki·Keisuke Shinohara

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Abstract

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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Hiroshi Koibuchi, Zion Sasaki, Keisuke Shinohara. 2005-03-07. Phase transitions of a tethered surface model with a deficit angle term. https://doi.org/10.1103/physreve.70.066144

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