Research Papers in Physics and Astronomy


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Published in Journal of the Mechanics and Physics of Solids 54:10, (October 2006), pp. 2162-2182; doi:10.1016/j.jmps.2006.03.008 Copyright © 2006 Elsevier Ltd. Used by permission.


Spontaneous crystalline nanomesa and nanowell formation has recently been discovered in polyvinylidene fluoride trifluoroethylene [P(VDF– TrFE)] copolymer films developed by Langmuir–Blodgett (LB) deposition. In this paper, we propose a continuum field model to analyze this remarkable phenomenon, consisting of kinematics, energetics, and kinetics of pattern formation and evolution in P(VDF–TrFE) films. Linear perturbation analysis has been carried out to analyze the stability and growth of patterns under small perturbations, and finite difference numerical simulations have been implemented to simulate the morphologies and evolutions of nanomesas and nanowells. The effects of film thickness and a number of other material parameters have been considered in our simulations, which agree well with experimental observations. We expect that our modeling and simulation methods can be used to guide the design and optimization of nanomesa and nanowell patterns for technological applications.

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