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Relaxation phenomena in self-assembled systems

Author

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  • Levin, Y.
  • Mundy, C.J.
  • Dawson, K.A.

Abstract

A dynamical model is proposed to study the evolution of the structure factor in the isotropic phase of a frustrated spin model. The study has application to the development of structure in bicontinuous microemulsions. We consider both non-conserved order parameters (NCOP) and the conserved order parameters (COP). In the former case (NCOP), within a self-consistent meanfield theory, we find that in the asymptotic limit (t→∞) all modes of the structure factor decay with the same characteristic time. This characteristic time scales with the two fundamental lengths d and ξ is present in self-assembled systems such as frustrated magnetic systems and binary alloys. In the latter case (COP), we find that no characteristic time is present within self-consistent mean-field theory and all modes decay algebraically. This is reminiscent of the long time tails in the velocity-velocity autocorrelation function observed for simple fluids.

Suggested Citation

  • Levin, Y. & Mundy, C.J. & Dawson, K.A., 1993. "Relaxation phenomena in self-assembled systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 196(2), pages 173-187.
    • Handle: RePEc:eee:phsmap:v:196:y:1993:i:2:p:173-187
    DOI: 10.1016/0378-4371(93)90599-Y
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