TY - JOUR
T1 - Tilt grain boundary instabilities in three-dimensional lamellar patterns
AU - Huang, Zhi Feng
AU - Viñals, Jorge
PY - 2005/3
Y1 - 2005/3
N2 - We identify a finite wave-number instability of a 90° tilt grain boundary in three-dimensional lamellar phases which is absent in two-dimensional configurations. Both a stability analysis of the slowly varying amplitude or envelope equation for the boundary, and a direct numerical solution of an order parameter model equation are presented. The instability mode involves two-dimensional perturbations of the planar base boundary, and is suppressed for purely one-dimensional perturbations. We find that both the most unstable wave numbers and their growth rate increase with ε, the dimensionless distance away from threshold of the lamellar phase.
AB - We identify a finite wave-number instability of a 90° tilt grain boundary in three-dimensional lamellar phases which is absent in two-dimensional configurations. Both a stability analysis of the slowly varying amplitude or envelope equation for the boundary, and a direct numerical solution of an order parameter model equation are presented. The instability mode involves two-dimensional perturbations of the planar base boundary, and is suppressed for purely one-dimensional perturbations. We find that both the most unstable wave numbers and their growth rate increase with ε, the dimensionless distance away from threshold of the lamellar phase.
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U2 - 10.1103/PhysRevE.71.031501
DO - 10.1103/PhysRevE.71.031501
M3 - Article
C2 - 15903429
AN - SCOPUS:37649029458
SN - 1539-3755
VL - 71
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 3
M1 - 031501
ER -