Abstract
The Ising model on a class of infinite random trees is defined as a
thermodynamic limit 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.
thermodynamic limit 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 language | English |
|---|---|
| Pages (from-to) | 185004-(25pp) |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 45 |
| DOIs | |
| Publication status | Published - 2012 |
| Externally published | Yes |
Subject classification (UKÄ)
- Probability Theory and Statistics