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.
TidsskriftJournal of Physics A: Mathematical and Theoretical
Udgave nummer18
Sider (fra-til)185004
Antal sider25
StatusUdgivet - 2012

ID: 45172989