Real Space Renormalization Group for One-Dimensional Ising Chains
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916344236081152 |
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| author | singh, Shraddha Singh, Vijay |
| author_facet | singh, Shraddha Singh, Vijay |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_01021 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Real Space Renormalization Group for One-Dimensional Ising Chains singh, Shraddha Singh, Vijay Statistical Mechanics 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. |
| title | Real Space Renormalization Group for One-Dimensional Ising Chains |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2408.01021 |