Ising Model on periodic and quasi-periodic chains in presence of magnetic field: some exact results

2003/06/24 by Susanta Bhattacharya, Bhattacharya, Susanta, Samir K. Paul +1
Physics and Astronomy · #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0306600

14 pages(LaTex),main calculation in this paper is from our previous work cond-mat/0105259 with change in title, content and references

arxiv created 2003/06/24 · arxiv updated 2009/11/30

Abstract

We present a general procedure for calculating the exact partition function of an Ising model on a periodic chain in presence of magnetic field considering both open and closed boundary conditions. Using same procedure on a quasiperiodic (Fibonacci) chain we have established a recurrence relation among partition functions of different Fibonacci generations from n-th to (n+6)-th. In the large N limit we find (2τ+ 1)F_n+1=F_n+2; where τ is the golden mean and F_n stands for free energy/spin for the n-th generation. We have also studied chemical potential in both cases.

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