Fisher zeros and critical behavior for the Ising model on Sierpinski gasket
In this paper, we provide a proof of the explicit formula for the partition function of the Ising model on the Sierpinski gasket. Additionally, we demonstrate the dynamic behavior of the zero distribution of the partition function when a sequence of appropriate regions is selected. Through this anal...
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| creator | Liu, Shaosong |
| description | In this paper, we provide a proof of the explicit formula for the partition
function of the Ising model on the Sierpinski gasket. Additionally, we
demonstrate the dynamic behavior of the zero distribution of the partition
function when a sequence of appropriate regions is selected. Through this
analysis, it is shown that the density of zeros around temperature $0$
exponentially diminishes at a rate of $\frac{1}{3^n}$, and the pressure
function approaches the logarithmic function. |
| doi_str_mv | 10.48550/arxiv.2312.05414 |
| format | Article |
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function of the Ising model on the Sierpinski gasket. Additionally, we
demonstrate the dynamic behavior of the zero distribution of the partition
function when a sequence of appropriate regions is selected. Through this
analysis, it is shown that the density of zeros around temperature $0$
exponentially diminishes at a rate of $\frac{1}{3^n}$, and the pressure
function approaches the logarithmic function.</description><identifier>DOI: 10.48550/arxiv.2312.05414</identifier><language>eng</language><subject>Mathematics - Dynamical Systems</subject><creationdate>2023-12</creationdate><rights>http://creativecommons.org/publicdomain/zero/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2312.05414$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2312.05414$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Liu, Shaosong</creatorcontrib><title>Fisher zeros and critical behavior for the Ising model on Sierpinski gasket</title><description>In this paper, we provide a proof of the explicit formula for the partition
function of the Ising model on the Sierpinski gasket. Additionally, we
demonstrate the dynamic behavior of the zero distribution of the partition
function when a sequence of appropriate regions is selected. Through this
analysis, it is shown that the density of zeros around temperature $0$
exponentially diminishes at a rate of $\frac{1}{3^n}$, and the pressure
function approaches the logarithmic function.</description><subject>Mathematics - Dynamical Systems</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNqFzbsKwkAQheFtLER9ACvnBYybG9iLQbHUPozJJBmS7IbZJahPrwZ7i8PfHPiUWoc6SPZpqncoDx6DKA6jQKdJmMzVJWPXkMCLxDpAU0Ih7LnADu7U4MhWoPrMNwRnx6aG3pbUgTVwZZKBjWsZanQt-aWaVdg5Wv26UJvseDucthObD8I9yjP_8vnEx_8fb5ubOpM</recordid><startdate>20231208</startdate><enddate>20231208</enddate><creator>Liu, Shaosong</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20231208</creationdate><title>Fisher zeros and critical behavior for the Ising model on Sierpinski gasket</title><author>Liu, Shaosong</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_2312_054143</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Mathematics - Dynamical Systems</topic><toplevel>online_resources</toplevel><creatorcontrib>Liu, Shaosong</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Liu, Shaosong</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Fisher zeros and critical behavior for the Ising model on Sierpinski gasket</atitle><date>2023-12-08</date><risdate>2023</risdate><abstract>In this paper, we provide a proof of the explicit formula for the partition
function of the Ising model on the Sierpinski gasket. Additionally, we
demonstrate the dynamic behavior of the zero distribution of the partition
function when a sequence of appropriate regions is selected. Through this
analysis, it is shown that the density of zeros around temperature $0$
exponentially diminishes at a rate of $\frac{1}{3^n}$, and the pressure
function approaches the logarithmic function.</abstract><doi>10.48550/arxiv.2312.05414</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Dynamical Systems |
| title | Fisher zeros and critical behavior for the Ising model on Sierpinski gasket |
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