Ising Model on periodic and quasi-periodic chains in presence of magnetic field: some exact results
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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.
14 pages(LaTex),main calculation in this paper is from our previous work cond-mat/0105259 with change in title, content and references
14 pages(LaTex),main calculation in this paper is from our previous work cond-mat/0105259 with change in title, content and references