平均场阿贝尔沙堆的精确解

arXiv: Adaptation and Self-Organizing Systems Pub Date : 1993-06-14 DOI:10.1088/0305-4470/26/19/001

S. A. Janowsky, C. Laberge

{"title":"平均场阿贝尔沙堆的精确解","authors":"S. A. Janowsky, C. Laberge","doi":"10.1088/0305-4470/26/19/001","DOIUrl":null,"url":null,"abstract":"We introduce a model for a sandpile, with N sites, critical height N and each site connected to every other site. It is thus a mean-field model in the spin-glass sense. We find an exact solution for the steady state probability distribution of avalanche sizes, and discuss its asymptotics for large N.","PeriodicalId":139082,"journal":{"name":"arXiv: Adaptation and Self-Organizing Systems","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1993-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"22","resultStr":"{\"title\":\"Exact solutions for a mean-field Abelian sandpile\",\"authors\":\"S. A. Janowsky, C. Laberge\",\"doi\":\"10.1088/0305-4470/26/19/001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We introduce a model for a sandpile, with N sites, critical height N and each site connected to every other site. It is thus a mean-field model in the spin-glass sense. We find an exact solution for the steady state probability distribution of avalanche sizes, and discuss its asymptotics for large N.\",\"PeriodicalId\":139082,\"journal\":{\"name\":\"arXiv: Adaptation and Self-Organizing Systems\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1993-06-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"22\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv: Adaptation and Self-Organizing Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1088/0305-4470/26/19/001\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: Adaptation and Self-Organizing Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/0305-4470/26/19/001","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 22

摘要

我们引入了一个砂堆模型，有N个点，临界高度N，每个点相互连接。因此，它是自旋玻璃意义上的平均场模型。我们找到了雪崩大小的稳态概率分布的精确解，并讨论了它在大N时的渐近性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Exact solutions for a mean-field Abelian sandpile

We introduce a model for a sandpile, with N sites, critical height N and each site connected to every other site. It is thus a mean-field model in the spin-glass sense. We find an exact solution for the steady state probability distribution of avalanche sizes, and discuss its asymptotics for large N.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

arXiv: Adaptation and Self-Organizing Systems

自引率

0.00%

发文量