| Issue |
Europhys. Lett.
Volume 56, Number 4, November 2001
|
|
|---|---|---|
| Page(s) | 499 - 503 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2001-00547-6 | |
| Published online | 01 December 2003 | |
The nature of the long-time decay at a second-order transition point
1
School of Physics and Astronomy, Tel Aviv
University - Tel Aviv, Ramat Aviv, Israel
2
Cavendish Laboratory - Maddingley Rd. CB3 OHE,
Cambridge, UK
Received:
9
January
2001
Accepted:
22
August
2001
We show that at a second-order phase transition, of 
-like
system, a necessary condition for stretched exponential decay
of the time-dependent structure factor is obeyed. Using the ideas
presented in this proof, a crude estimate of the decay of the
structure factor is obtained and shown to yield stretched
exponential decay under very reasonable conditions.
PACS: 05.10.Gg – Stochastic analysis methods (Fokker-Planck, Langevin, etc.) / 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems / 64.60.Ht – Dynamic critical phenomena
© EDP Sciences, 2001
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