{"title":"Real Space Renormalization Group for One-Dimensional Ising Chains","authors":"Shraddha singh, Vijay Singh","doi":"arxiv-2408.01021","DOIUrl":null,"url":null,"abstract":"We apply the real space Renormalisation Group (RNG) technique to a variety of\none-dimensional Ising chains. We begin by recapitulating the work of Nauenberg\nfor an ordered Ising chain, namely the decimation approach. We extend this work\nto certain non-trivial situation namely, the Alternate Ising Chain and\nFibonacci Ising chain. Our approach is pedagogical and accessible to\nundergraduate students who have had a first course in statistical mechanics.","PeriodicalId":501520,"journal":{"name":"arXiv - PHYS - Statistical Mechanics","volume":"70 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Statistical Mechanics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.01021","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We apply the real space Renormalisation Group (RNG) technique to a variety of
one-dimensional Ising chains. We begin by recapitulating the work of Nauenberg
for an ordered Ising chain, namely the decimation approach. We extend this work
to certain non-trivial situation namely, the Alternate Ising Chain and
Fibonacci Ising chain. Our approach is pedagogical and accessible to
undergraduate students who have had a first course in statistical mechanics.
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