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The nature of the long time decay at a second order transition point

Moshe Schwartz, S. F. Edwards

cond-mat.stat-mecharXiv:cond-mat/0012106

Abstract

We show that at a second order phase transition, of ϕ4 like system, a necessary condition for streched exponential decay of the time 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.

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