Susceptibilities for the Müller-Hartmann-Zitartz countable infinity of phase transitions on a Cayley tree.
We obtain explicit susceptibilities for the countable infinity of phase transition temperatures of Müller-Hartmann-Zitartz on a Cayley tree. The susceptibilities are a product of the zeroth spin with the sum of an appropriate set of averages of spins on the outermost layer of the tree. A clear physical understanding for these strange phase transitions emerges naturally. In the thermodynamic limit, the susceptibilities tend to zero above the transition and to infinity below it.
School of Chemistry, The Faculty of Exact Sciences, Tel Aviv University, Tel Aviv 69978, Israel.
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Sharma