Generic Ising trees

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The Ising model on a class of infinite random trees is defined as a thermodynamiclimit of finite systems. A detailed description of the corresponding distribution of infinite spin configurations is given. As an application, we study the magnetization properties of such systems and prove that they exhibit no spontaneous magnetization. Furthermore, the values of the Hausdorff and spectral dimensions of the underlying trees are calculated and found to be, respectively,¯dh =2 and¯ds = 4/3.
Original languageEnglish
JournalJournal of Physics A: Mathematical and Theoretical
Issue number18
Pages (from-to)185004
Number of pages25
Publication statusPublished - 2012

ID: 45172989