English

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

Statistical Mechanics 2010-12-17 v3

Abstract

We show that at a second order phase transition, of \phi^4 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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Cite

@article{arxiv.cond-mat/0012106,
  title  = {The nature of the long time decay at a second order transition point},
  author = {Moshe Schwartz and S. F. Edwards},
  journal= {arXiv preprint arXiv:cond-mat/0012106},
  year   = {2010}
}

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7 pages