The nature of the long-time decay at a second-order transition point
School of Physics and Astronomy, Tel Aviv
University - Tel Aviv, Ramat Aviv, Israel
2 Cavendish Laboratory - Maddingley Rd. CB3 OHE, Cambridge, UK
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