Relaxation phenomena in self-assembled systems
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.
Year of publication: |
1993
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Authors: | Levin, Y. ; Mundy, C.J. ; Dawson, K.A. |
Published in: |
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 196.1993, 2, p. 173-187
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Publisher: |
Elsevier |
Saved in:
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