# Conformation and Dynamics of a Self-Avoiding Sheet: Bond-Fluctuation Computer Simulation

## Document Type

Article

## Publication Date

4-15-2005

## Department

Physics and Astronomy

## School

Mathematics and Natural Sciences

## Abstract

The conformation and dynamics of a self-avoiding sheet are analyzed by the bond-fluctuating Monte Carlo method. The mean-square displacement of the center of mass of the sheet and that of its center node (R-n(2)) show dsymptotic diffusive behavior. The segmental dynamics in short and long time regimes can be deduced from the motion of the center node described by the power law R-n(2) similar or equal to C(1)t(2 mu) + C(2)t(2x) with mu similar or equal to 0.13 and v similar or equal to 1/2, where C-1 and C-2 are fitting constants and t is the time. The radius of gyration, Rg, scales with the linear size, L-s, of the sheet as R-g similar or equal to N-gamma with gamma similar or equal to 1/2 and N = L-s(2) and this is consistent with the conformational analysis of open tethered membranes with excluded-volume constraints. (c) 2005 Wiley Periodicals, Inc.

## Publication Title

Journal of Polymer Science Part B-Polymer Physics

## Volume

43

## Issue

8

## First Page

1041

## Last Page

1046

## Recommended Citation

Pandey, R. B.,
Anderson, K. L.,
Heinz, H.,
Farmer, B. L.
(2005). Conformation and Dynamics of a Self-Avoiding Sheet: Bond-Fluctuation Computer Simulation. *Journal of Polymer Science Part B-Polymer Physics, 43*(8), 1041-1046.

Available at: https://aquila.usm.edu/fac_pubs/2794