Physics and Astronomy
Stochastic dynamics of a tethered membrane with a bond-fluctuating coarse-grained Monte Carlo simulation shows, in addition to diffusion, nondiffusive behavior sensitive to the type of membrane, its size, and quality of the solvent. Motion of the membrane's center node is described by the variation of the mean-square displacement (R-n(2)) with time step (t), i.e., R-n(2)proportional to t(2 nu) with the exponent nu similar or equal to 1/8-1/6 in the short time followed by subdiffusive power laws (i.e., nu similar to 1/5,1/10) in the intermediate time regimes before reaching diffusion nu=1. The crossover between in-plane wrinkle modes is identified from the segmental (node) motion of the membrane.
Physical Review E
Pandey, R. B.,
Anderson, K. L.,
(2007). Multiscale Mode Dynamics of a Tethered Membrane. Physical Review E, 75(6).
Available at: https://aquila.usm.edu/fac_pubs/1996