Kj. Wiese, DYNAMICS OF SELFAVOIDING TETHERED MEMBRANES - II - INCLUSION OF HYDRODYNAMIC INTERACTION (ZIMM MODEL), EUROPEAN PHYSICAL JOURNAL B, 1(3), 1998, pp. 273-276
The dynamical scaling properties of selfavoiding polymerized membranes
with internal dimension D embedded into d dimensions are studied incl
uding hydrodynamical interactions. It is shown that the theory is reno
rmalizable to all orders in perturbation theory and that the dynamical
scaling exponent z is given by z = d. The crossover to the region, wh
ere the membrane is crumpled swollen but the hydrodynamic interaction
irrelevant is discussed. The results apply as well to polymers (D = 1)
as to membranes (D = 2).