Condensed Matter Physics, 2016, vol. 19, No. 3, 33001
DOI:10.5488/CMP.19.33001
arXiv:1609.06974
Title:
Numerical investigation of local defectiveness control of diblock copolymer patterns
Author(s):

D. Jeong
(Department of Mathematics, Korea University, Seoul 136713, Republic of Korea)
,


Y. Choi
(Department of Mathematics, Korea University, Seoul 136713, Republic of Korea)
,


J. Kim
(Department of Mathematics, Korea University, Seoul 136713, Republic of Korea)

We numerically investigate local defectiveness control of selfassembled diblock copolymer patterns through appropriate substrate design. We use a nonlocal CahnHilliard (CH) equation for the phase separation dynamics of diblock copolymers. We discretize the nonlocal CH equation by an unconditionally stable finite difference scheme on a tapered trench design and, in particular, we use Dirichlet, Neumann, and periodic boundary conditions. The value at the Dirichlet boundary comes from an energyminimizing equilibrium lamellar profile. We solve the resulting discrete equations using a GaussSeidel iterative method. We perform various numerical experiments such as effects of channel width, channel length, and angle on the phase separation dynamics. The simulation results are consistent with the previous experimental observations.
Key words:
diblock copolymer, nonlocal CahnHilliard equation, local defectivity control
PACS:
02.60.Cb, 02.60.Lj, 02.70.Bf, 02.70.Pt
