Phase transition in lattice surface systems with gonihedric action |
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| Affiliation: | 1. Laboratory of Biophysics, Department of Cell Biology, University of Brasilia, Campus Darcy Ribeiro, Asa Norte, Brasília, DF, 70910-900, Brazil;2. Laboratory of Toxinology, University of Brasília, DF, Brazil;1. School of Life Science, Faculty of Science, University of Technology Sydney, Broadway, NSW, Australia;2. Royal Prince Alfred Hospital, Camperdown, NSW, Australia;3. Faculty of Health, University of Technology Sydney, Ultimo, NSW, Australia;1. Institute of Nuclear and Particle Physics, NCSR Demokritos, GR-15310 Athens, Greece;2. A.I. Alikhanyan National Science Laboratory, Yerevan, 0036, Armenia;3. Institut für Theoretische Physik, Universität Leipzig, D-04109 Leipzig, Germany |
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| Abstract: | We prove the existence of an ordered low-temperature phase in a model of soft-self-avoiding closed random surfaces on a cubic lattice by a suitable extension of Peierls contour method. The statistical weight of each surface configuration depends only on the mean extrinsic curvature and on an interaction term arising when two surfaces touch each other along some contour. The model was introduced by F.J. Wegner and G.K. Savvidy as a lattice version of the gonihedric string, which is an action for triangulated random surfaces. |
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