Critical amplitude of the Potts model: Zeroes and divergences

Miron Kaufman, David Andelman

Research output: Contribution to journalArticlepeer-review


The critical amplitude of the q-state Potts-model free energy is studied as a function of q in two dimensions and on the diamond hierarchical lattice. The amplitude diverges at an infinite number of q values, qn, introducing logarithmic terms in the free energy. We expect that in each interval (qn,qn+1) there is a value q^n where the amplitude vanishes, affecting the singularity of the free energy as a function of temperature. Possible consequences for gelation and vulcanization of polymers are discussed.

Original languageEnglish
Pages (from-to)4010-4016
Number of pages7
JournalPhysical Review B-Condensed Matter
Issue number7
StatePublished - 1984
Externally publishedYes


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