Generic Ising trees

Bergfinnur Jøgvan Durhuus; George Maria Napolitano

doi:10.1088/1751-8113/45/18/185004

Generic Ising trees

Bergfinnur Jøgvan Durhuus, George Maria Napolitano

Department of Mathematical Sciences

2 Citations (Scopus)

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.

Original language	English
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	45
Issue number	18
Pages (from-to)	185004
Number of pages	25
ISSN	1751-8113
DOIs	https://doi.org/10.1088/1751-8113/45/18/185004
Publication status	Published - 11 May 2012

Access to Document

10.1088/1751-8113/45/18/185004

Cite this

@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",

month = may,

day = "11",

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",

}

TY - JOUR

T1 - Generic Ising trees

AU - Durhuus, Bergfinnur Jøgvan

AU - Napolitano, George Maria

PY - 2012/5/11

Y1 - 2012/5/11

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

SN - 1751-8113

VL - 45

SP - 185004

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 18

ER -