Universal relations among thermodynamic critical amplitudes

A. Aharony, P. C. Hohenberg

Research output: Contribution to journalArticlepeer-review

176 Scopus citations


The hypothesis of universality implies that there are four universal ratios among the six usually defined thermodynamic critical amplitudes. Theoretical information from series and ε expansions is presented on the values of these ratios for short-ranged Ising, Heisenberg, and spherical models, and for dipolar systems. A number of real materials are discussed (Xe, CO2, Ni, EuO, and LiTbF4), and the present state of our understanding of the thermodynamic ratios for these systems is found to be rather crude.

Original languageEnglish
Pages (from-to)3081-3090
Number of pages10
JournalPhysical Review B
Issue number7
StatePublished - 1 Jan 1976
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics


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