The Phenomenology of Strings and Clusters in the 3-d Ising Model. Dotsenko, V. S.; Picco, M.; Windey, P.; Lpthe; Harris, G.; Marinari, E.; and Martinec, E. In arXiv preprint hep-th/ \ldots, pages 99–117. jan, 1995.
The Phenomenology of Strings and Clusters in the 3-d Ising Model [link]Paper  doi  abstract   bibtex   
We examine the geometrical and topological properties of surfaces surrounding clusters in the 3–\$}d{\$ Ising model. For geometrical clusters at the percolation temperature and Fortuin–Kasteleyn clusters at \$}T{_}c{\$, the number of surfaces of genus \$}g{\$ and area \$}A{\$ behaves as \$}A{\^{}}{\{}x(g){\}}e{\^{}}{\{}-\backslashmu(g)A{\}}{\$, with \$}x{\$ approximately linear in \$}g{\$ and \$}\backslashmu{\$ constant. We observe that cross–sections of spin domain boundaries at \$}T{_}c{\$ decompose into a distribution \$}N(l){\$ of loops of length \$}l{\$ that scales as \$}l{\^{}}{\{}-\backslashtau{\}}{\$ with \$}\backslashtau \backslashsim 2.2{\$. We address the prospects for a string–theoretic description of cluster boundaries. (To appear in proceedings for the Cargese Workshop on "String Theory, Conformal Models and Topological Field Theories", May 1993)
@incollection{Dotsenko1994a,
abstract = {We examine the geometrical and topological properties of surfaces surrounding clusters in the 3--{\$}d{\$} Ising model. For geometrical clusters at the percolation temperature and Fortuin--Kasteleyn clusters at {\$}T{\_}c{\$}, the number of surfaces of genus {\$}g{\$} and area {\$}A{\$} behaves as {\$}A{\^{}}{\{}x(g){\}}e{\^{}}{\{}-\backslashmu(g)A{\}}{\$}, with {\$}x{\$} approximately linear in {\$}g{\$} and {\$}\backslashmu{\$} constant. We observe that cross--sections of spin domain boundaries at {\$}T{\_}c{\$} decompose into a distribution {\$}N(l){\$} of loops of length {\$}l{\$} that scales as {\$}l{\^{}}{\{}-\backslashtau{\}}{\$} with {\$}\backslashtau \backslashsim 2.2{\$}. We address the prospects for a string--theoretic description of cluster boundaries. (To appear in proceedings for the Cargese Workshop on "String Theory, Conformal Models and Topological Field Theories", May 1993)},
archivePrefix = {arXiv},
arxivId = {hep-th/9401129},
author = {Dotsenko, Vladimir S. and Picco, Marco and Windey, Paul and Lpthe and Harris, Geoffrey and Marinari, Enzo and Martinec, Emil},
booktitle = {arXiv preprint hep-th/ {\ldots}},
doi = {10.1007/978-1-4615-1819-8_9},
eprint = {9401129},
file = {:Users/marco/Library/Application Support/Mendeley Desktop/Downloaded/Dotsenko, Picco, Windey - 1993 - The Phenomenology of Strings and Clusters in the 3 – d Ising Model.pdf:pdf},
month = {jan},
number = {l},
pages = {99--117},
primaryClass = {hep-th},
title = {{The Phenomenology of Strings and Clusters in the 3-d Ising Model}},
url = {http://arxiv.org/abs/hep-th/9401129 https://doi.org/10.1007/978-1-4615-1819-8{\_}9 http://link.springer.com/10.1007/978-1-4615-1819-8{\_}9},
year = {1995}
}
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