Flexible, randomly triangulated, self-avoiding surfaces are studied by Monte Carlo simulation technique. The surfaces are closed, but handles can spontaneously be formed or annihilated. The simulations lead to estimates for the exponents relating area, enclosed volume and number of handles to the extension of the surface: d A = 1.94, d V = 1.96, d χ = 2.0. The results obtained suggest that free topology is irrelevant when classifying fluid self-avoiding surfaces in terms of universality classes.
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Jeppesen et al. (1993) studied this question.
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