Application of the Euler characteristic to the study of homopolymer blends and copolymer melts

A. Aksimentiev, R. Holyst

Research output: Contribution to journalArticlepeer-review


The Euler characteristic is applied to study the phase separation/ordering phenomena occurring in polymer mixtures. Several methods used to compute Euler characteristics are described and discussed in terms of accuracy and efficiency. A novel, robust and exact algorithm based on simplex decomposition is presented. The simulated morphology of spinodal decomposition and the phase equilibrium diagram of gradient copolymers are analyzed in terms of Euler characteristics. Again, the Euler characteristics are applied to specify the connectivity of bicontinuous patterns, to distinguish the disperse and the bicontinuous morphologies, and to detect the percolation transition. During the spinodal decomposition, the dynamic transformation between the bicontinuous and the droplet patterns is shown to involve the formation of a transient "cylindrical" morphology.

Original languageEnglish (US)
Pages (from-to)307-322
Number of pages16
Issue number5
StatePublished - 2001
Externally publishedYes


  • Euler characteristic
  • Gradient copolymers
  • Homopolymr blends
  • Morphology
  • Phase separation
  • Spinodal decomposition

ASJC Scopus subject areas

  • General Chemical Engineering
  • Polymers and Plastics
  • Materials Chemistry


Dive into the research topics of 'Application of the Euler characteristic to the study of homopolymer blends and copolymer melts'. Together they form a unique fingerprint.

Cite this