Multiscale Mode Dynamics of a Tethered Membrane

Authors

Ras B. Pandey, University of Southern MississippiFollow
Kelly L. Anderson, Procter & Gamble Company
B. L. Farmer, Air Force Research LaboratoryFollow

Document Type

Article

Publication Date

6-1-2007

Department

Physics and Astronomy

School

Mathematics and Natural Sciences

Abstract

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_2n) with time step (t), i.e., R_2n∝t2ν with the exponent ν≃1/8−1∕6 in the short time followed by subdiffusive power laws (i.e., ν∼1∕5, 1∕10) in the intermediate time regimes before reaching diffusion ν=1. The crossover between in-plane wrinkle modes is identified from the segmental (node) motion of the membrane.

Comments

©Physical Review E

DOI: 10.1103/PhysRevE.75.061913

Publication Title

Physical Review E

Volume

75

Issue

6

Recommended Citation

Pandey, R. B., Anderson, K. L., Farmer, B. (2007). Multiscale Mode Dynamics of a Tethered Membrane. Physical Review E, 75(6).
Available at: https://aquila.usm.edu/fac_pubs/1996