Generalized scaling theory for critical phenomena including essential singularities and infinite dimensionality

Tomoaki Nogawa, Takehisa Hasegawa, Koji Nemoto

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)

Abstract

We propose a generic scaling theory for critical phenomena that includes power-law and essential singularities in finite and infinite dimensional systems. In addition, we clarify its validity by analyzing the Potts model in a simple hierarchical network, where a saddle-node bifurcation of the renormalization-group fixed point governs the essential singularity.

Original languageEnglish
Article number255703
JournalPhysical Review Letters
Volume108
Issue number25
DOIs
Publication statusPublished - 2012 Jun 21

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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