arXiv:cond-mat/0306600 Abstract

arXiv:cond-mat/0306600Abstract References Reviews Resources

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

Published 2003-06-24Version 1

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.

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

Categories: cond-mat.stat-mech

Keywords: magnetic field, ising model, quasi-periodic chains, exact results, exact partition function

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