A lattice model with Fibonacci degree of degeneracy

2023/10/16 by Athena Wang, Wang, Athena · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Advanced Mathematical Theories and Applications #FOS: Physical sciences #Fractal and DNA sequence analysis #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.2310.10058

openalex publication_date 2023/10/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we explore two different methods of finding the degrees of degeneracy for lattice model systems, specifically constructing one with a Fibonacci degree of degeneracy. We also calculate the number of ground states per site as the golden ratio (ϕ) for the system that we constructed and extend our results to systems with k-Step Fibonacci degrees of degeneracy. Finally, I end with a few open questions that we may examine for future works.

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• Statistical Mechanics and Categorical Entropy

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