Logarithmic correlations in quenched random magnets and polymers

Nov, 1999
4 pages
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1999200520112017202302468
Abstract: (arXiv)
It is argued that logarithmic factors multiplying power law behavior are to be expected at or near non-mean field critical points of systems with short-range interactions described theoretically by any kind of n -> 0 limit, in which the effective free energy vanishes. Explicit examples are given for quenched random ferromagnets, polymer statistics and percolation, but the phenomenon is quite general.
Note:
  • 4 pages Subj-class: Statistical Mechanics