Generic Ising trees
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Generic Ising trees. / Durhuus, Bergfinnur Jøgvan; Napolitano, George Maria.
In: Journal of Physics A: Mathematical and Theoretical, Vol. 45, No. 18, 2012, p. 185004.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Generic Ising trees
AU - Durhuus, Bergfinnur Jøgvan
AU - Napolitano, George Maria
PY - 2012
Y1 - 2012
N2 - 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.
AB - 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.
U2 - 10.1088/1751-8113/45/18/185004
DO - 10.1088/1751-8113/45/18/185004
M3 - Journal article
VL - 45
SP - 185004
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 18
ER -
ID: 45172989