The thermodynamic properties of a spin system with two different nearest-neighbor interactions which are ordered in a quasiperiodic pattern along a one-dimensional chain are studied. An exact renormalization technique is used which mimics the deflation rule for a quasiperiodic lattice. The system has a phase transition at zero temperature with the usual scaling form of the thermodynamic functions. These functions have corrections to scaling which do not appear in an ordinary system, and there is a spatial dependence in the correlation function.
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Achiam et al. (1986) studied this question.
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