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

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

2003-06-24

arxiv.org/abs/cond-mat/0306600v1

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

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 $(2\tau + 1){F_{n+1}}={F_{n+2}}$; where $\tau$ 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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