Exactly solvable one-dimensional inhomogeneous models |
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| Authors: | B. Derrida M. Mendès France J. Peyrière |
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| Affiliation: | (1) Service de Physique Théorique, CEN Saclay, 91191 Gif sur Yvette, France;(2) Département de Mathématiques et Informatique, Université de Bordeaux 1, 33405 Talence, France;(3) Département de Mathématiques, Université de Paris-Sud, 91405 Orsay, France |
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| 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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| Keywords: | Liapunov exponent Ising chain disordered chain quasiperiodic chain exactly solvable model |
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