Phase Hamiltonian in periodically modulated systems

Kyozi Kawasaki and Takao Ohta

Physica A: Statistical Mechanics and its Applications, 1986, vol. 139, issue 2, 223-255

Abstract: We present a method to express a class of Ginzburg-Landau free energy functionals for systems exhibiting periodic modulation patterns in terms of the phase variables that describe smooth deformations of the patterns. Symmetry considerations for the resulting phase Hamiltonian lead to certain Cauchy-type relations among coefficients appearing in it. The theory is applied to lamellar, cylindrical and three-dimensionally periodic phases of diblock copolymer systems, and various elastic coefficients appearing in the phase Hamiltonian are explicitly calculated.

Date: 1986
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:139:y:1986:i:2:p:223-255

DOI: 10.1016/0378-4371(86)90122-6

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