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Abstract: A surface model of Nambu and Goto is studied statistical mechanically byusing the canonical Monte Carlo simulation technique on a spherical meshwork.The model is defined by the area energy term and a one-dimensional bendingenergy term in the Hamiltonian. We find that the model has a large variety ofphases; the spherical phase, the planar phase, the long linear phase, the shortlinear phase, the wormlike phase, and the collapsed phase. Almost all twoneighboring phases are separated by discontinuous transitions. It is alsoremarkable that no surface fluctuation can be seen in the surfaces both in thespherical phase and in the planar phase.



Author: Hiroshi Koibuchi

Source: https://arxiv.org/







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