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ファイル | 記述 | サイズ | フォーマット | |
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B59-16.pdf | 4.14 MB | Adobe PDF | 見る/開く |
タイトル: | A new proof of first order phase transition for the planar random-cluster and Potts models with $qgg1$ (Stochastic Analysis on Large Scale Interacting Systems) |
著者: | Duminil-Copin, Hugo |
キーワード: | 60K35 82B43 Potts model Random-cluster model Discontinuous phase transition |
発行日: | Jul-2016 |
出版者: | Research Institute for Mathematical Sciences, Kyoto University |
誌名: | 数理解析研究所講究録別冊 |
巻: | B59 |
開始ページ: | 215 |
終了ページ: | 225 |
抄録: | We provide a proof that the random-cluster model on the square lattice undergoes a discontinuous phase transition for large values of the cluster-weight q. This implies discontinuity of the phase transition for Potts model on the square lattice provided that the number of colors q is large enough. Let us remind the reader that this result is classical and that we simply provide an alternative approach based on the loop representation. |
記述: | "Stochastic Analysis on Large Scale Interacting Systems". October 26~29, 2015. edited by Ryoki Fukushima, Tadahisa Funaki, Yukio Nagahata, Makoto Nakashima, Hirofumi Osada and Yoshiki Otobe. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
著作権等: | © 2016 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
URI: | http://hdl.handle.net/2433/243603 |
出現コレクション: | B59 Stochastic Analysis on Large Scale Interacting Systems |
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