Abstract
We present a simple way of constructing one-dimensional inhomogeneous models (random or quasiperiodic) which can be solved exactly. We treat the example of an Ising chain in a varying magnetic field, but our procedure can easily be extended to other one-dimensional inhomogeneous models. For all the models we can construct, the free energy and its derivatives with respect to temperature can be computed exactly at one particular temperature.
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Derrida, B., Mendès France, M. & Peyrière, J. Exactly solvable one-dimensional inhomogeneous models. J Stat Phys 45, 439–449 (1986). https://doi.org/10.1007/BF01021080
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DOI: https://doi.org/10.1007/BF01021080