2001/05/14 by Susanta Bhattacharya, Bhattacharya, Susanta, Samir K. Paul +1
Chemistry · Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #FOS: Physical sciences #Molecular spectroscopy and chirality #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0105259
9 pages(latex), corrected equns. (39),(52),(53),(54)
openalex publication_date 2001/05/14 · arxiv created 2001/05/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We represent a general procedure for calculating the partition function of an Ising model on a one dimensional Fibonacci lattice in presence of magnetic field.This partition function can be written as a sum of partition functions of usual open Ising chains in presence of magnetic field with coefficients having Fibonacci symmetries.An exact expression for the partition function of the usual open Ising model is found.We observe that "Mirror Symmetry" is a characteristic property of all Fibonacci generations.Further nth and (n+6)th generations have the same topology.We have also established a recurrence relation among partition functions of different Fibonacci generations from nth to (n+6)th.