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

Harvard

Durhuus, BJ & Napolitano, GM 2012, 'Generic Ising trees', Journal of Physics A: Mathematical and Theoretical, vol. 45, no. 18, pp. 185004. https://doi.org/10.1088/1751-8113/45/18/185004

APA

Durhuus, B. J., & Napolitano, G. M. (2012). Generic Ising trees. Journal of Physics A: Mathematical and Theoretical, 45(18), 185004. https://doi.org/10.1088/1751-8113/45/18/185004

Vancouver

Durhuus BJ, Napolitano GM. Generic Ising trees. Journal of Physics A: Mathematical and Theoretical. 2012;45(18):185004. https://doi.org/10.1088/1751-8113/45/18/185004

Author

Durhuus, Bergfinnur Jøgvan ; Napolitano, George Maria. / Generic Ising trees. In: Journal of Physics A: Mathematical and Theoretical. 2012 ; Vol. 45, No. 18. pp. 185004.

Bibtex

@article{e052bcc0b3994668bdfb1510a6303339,
title = "Generic Ising trees",
abstract = "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.",
author = "Durhuus, {Bergfinnur J{\o}gvan} and Napolitano, {George Maria}",
year = "2012",
doi = "10.1088/1751-8113/45/18/185004",
language = "English",
volume = "45",
pages = "185004",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "Institute of Physics Publishing Ltd",
number = "18",

}

RIS

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