Test of renormalization predictions for universal finite-size scaling functions

Erik Luijten*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

28 Scopus citations


We calculate universal finite-size scaling functions for systems with an n-component order parameter and algebraically decaying interactions. Just as previously found for short-range interactions, this leads to a singular [Formula Presented] expansion, where [Formula Presented] is the distance to the upper critical dimension. Subsequently, we check the results by numerical simulations of spin models in the same universality class. Our systems offer the essential advantage that [Formula Presented] can be varied continuously, allowing an accurate examination of the region where [Formula Presented] is small. The numerical calculations turn out to be in striking disagreement with the predicted singularity.

Original languageEnglish (US)
Pages (from-to)7558-7561
Number of pages4
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number6
StatePublished - 1999

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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