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Mean-Field Critical Behavior for the Contact Process

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タイトル: Mean-Field Critical Behavior for the Contact Process
著者: Sakai, Akira 著作を一覧する
キーワード: contact process
critical exponents
triangle condition
mean-field behavior
lace expansion
発行日: 2001年 7月 1日
出版者: Kluwer
誌名: Journal of Statistical Physics
巻: 104
号: 1-2
開始ページ: 111
終了ページ: 143
出版社 DOI: 10.1023/A:1010320523031
抄録: The contact process is a model of spread of an infectious disease. Combining with the result of ref. 1, we prove that the critical exponents take on the mean-field values for sufficiently high dimensional nearest-neighbor models and for sufficiently spread-out models with d>4:θ(λ)≈λ−λ c as λ↓λ c and χ(λ)≈(λ c−λ)−1 as λ↑λ c, where θ(λ) and χ(λ) are the spread probability and the susceptibility of the infection respectively, and λ c is the critical infection rate. Our results imply that the upper critical dimension for the contact process is at most 4.
Rights: The final publication is available at
資料タイプ: article (author version)
出現コレクション:雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

提供者: 坂井 哲


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