Exact inequality for random systems: Application to random fields

Moshe Schwartz*, A. Soffer

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


An inequality relating averages of generalized correlations to averages of generalized susceptibilities for Gaussian field distributions is presented. This inequality is applied to random-field systems to prove under the assumption of a continuous transition the (tree level) decoupling of the quenched two-point function. By assumption of only a power-law divergence, a lower bound for is obtained. It rules out the possibility that some recent experimental and numerical results reflect equilibrium properties near a continuous transition.

Original languageEnglish
Pages (from-to)2499-2501
Number of pages3
JournalPhysical Review Letters
Issue number22
StatePublished - 1985


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