English

Logarithmic Correlations in Quenched Random Magnets and Polymers

Statistical Mechanics 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.cond-mat/9911024,
  title  = {Logarithmic Correlations in Quenched Random Magnets and Polymers},
  author = {John Cardy},
  journal= {arXiv preprint arXiv:cond-mat/9911024},
  year   = {2007}
}

Comments

4 pages

R2 v1 2026-07-22T12:16:10.672Z