Generic Ising trees
Research output: Contribution to journal › Journal article › Research › peer-review
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.
|Journal||Journal of Physics A: Mathematical and Theoretical|
|Number of pages||25|
|Publication status||Published - 2012|