Abstract
Ising chains characterized by smoothly varying two-body potentials, including a generalized version of the Kac model, are studied. As a novel aspect we show that one-dimensional maps associated with such chains in the spirit of the thermodynamical formalism possess fractal derivatives. We discuss how long-range potentials lead to intermittent-like behavior in the associated one-dimensional map.
Received: 1994-10-12
Published Online: 2014-6-2
Published in Print: 1994-12-1
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