Corrections to scaling in random resistor networks and diluted continuous spin models near the percolation threshold
Hans-Karl Janssen, Olaf Stenull
2004
Physical Review E
We investigate corrections to scaling induced by irrelevant operators in randomly diluted systems near the percolation threshold. The specific systems that we consider are the random resistor network and a class of continuous spin systems, such as the x-y-model. We focus on a family of least irrelevant operators and determine the corrections to scaling that originate from this family. Our field theoretic analysis carefully takes into account, that irrelevant operators mix under renormalization.
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... It turns out that long standing results on corrections to scaling are respectively incorrect (random resistor networks) or incomplete (continuous spin systems).
doi:10.1103/physreve.69.026118
pmid:14995531
fatcat:ppht4cioofh6ppz6utzjpbj5a4