Logarithmic Correlations in Quenched Random Magnets and Polymers

Details Logarithmic Correlations in Quenched Random Magnets and Polymers Logarithmic Correlations in Quenched Random Magnets and Polymers

1999-11-03

arxiv.org/abs/cond-mat/9911024v1

Physics

Condensed Matter

Statistical Mechanics

4 pages

Scientific paper

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.

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