Tethered surfaces: Statics and dynamics.

摘要: We apply renormalization-group and Monte Carlo methods to study the equilibrium conformations dynamics of two-dimensional surfaces fixed connectivity embedded in d dimensions, as exemplified by hard spheres tethered together strings into a triangular net. A continuum description is obtained. Without self-avoidance, radius gyration increases \ensuremath{\surd}lnL , where L linear size uncrumpled surface. The upper critical dimension self-avoiding infinite. Their grows ${L}^{\ensuremath{\nu}}$, Flory theory predicts \ensuremath{\nu}=4/(d+2), agreement with our result \ensuremath{\nu}=0.80\ifmmode\pm\else\textpm\fi{}0.05 d=3. Rouse relaxation time surface ${L}^{3.6}$.