Dynamical scaling of polymerized membranes
Department of Physics, Kyushu University 33 - Fukuoka 812-8581, Japan
Received: 30 May 2014
Accepted: 10 July 2014
Monte Carlo simulations have been performed to analyze the sub-diffusion dynamics of a tagged monomer in self-avoiding polymerized membranes in the flat phase. By decomposing the mean square displacement into the out-of-plane and the in-plane components, we obtain good data collapse with two distinctive diffusion exponents and , and the roughness exponents and , respectively for each component. Their values are consistent with the relation from the rotational symmetry. We derive the generalized Langevin equations to describe the sub-diffusional behaviors of a tagged monomer in the intermediate time regime where the collective effect of internal modes in the membrane dominate the dynamics to produce negative memory kernels with a power law. We also briefly discuss how the long-range hydrodynamic interactions alter the exponents.
PACS: 87.16.D- – Membranes, bilayers, and vesicles / 87.15.Vv – Diffusion / 87.16.dj – Dynamics and fluctuations
© EPLA, 2014