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- W1974363345 abstract "We apply renormalization-group and Monte Carlo methods to study the equilibrium conformations and dynamics of two-dimensional surfaces of fixed connectivity embedded in d dimensions, as exemplified by hard spheres tethered together by strings into a triangular net. A continuum description of the surfaces is obtained. Without self-avoidance, the radius of gyration increases as ensuremath{surd}lnL , where L is the linear size of the uncrumpled surface. The upper critical dimension of self-avoiding surfaces is infinite. Their radius of gyration grows as ${L}^{ensuremath{nu}}$, where Flory theory predicts ensuremath{nu}=4/(d+2), in agreement with our Monte Carlo result ensuremath{nu}=0.80ifmmodepmelsetextpmfi{}0.05 in d=3. The Rouse relaxation time of a self-avoiding surface grows as ${L}^{3.6}$." @default.
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- W1974363345 date "1987-04-01" @default.
- W1974363345 modified "2023-10-18" @default.
- W1974363345 title "Tethered surfaces: Statics and dynamics" @default.
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- W1974363345 doi "https://doi.org/10.1103/physreva.35.3056" @default.
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