一维伊辛链的实空间重正化群

arXiv - PHYS - Statistical Mechanics Pub Date : 2024-08-02 DOI:arxiv-2408.01021

Shraddha singh, Vijay Singh

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引用次数: 0

摘要

我们把实空间重正化群（RNG）技术应用于各种一维伊辛链。我们首先回顾了瑙恩伯格针对有序伊辛链所做的工作，即十进制方法。我们将这一工作扩展到某些非难情况，即交替伊兴链和斐波那契伊兴链。我们的方法是教学性的，对于已经学过统计力学第一课的研究生来说是容易接受的。

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Real Space Renormalization Group for One-Dimensional Ising Chains

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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arXiv - PHYS - Statistical Mechanics

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