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One-dimensional random Ising models

1985; Institute of Physics; Volume: 18; Issue: 4 Linguagem: Inglês

10.1088/0305-4470/18/4/012

1361-6447

Jean‐Marie Normand, Manav Mehta, Henri Orland,

Stochastic processes and statistical mechanics

A study of several one-dimensional random Ising chains and strips is presented. The free energy is expressed in terms of a probability distribution, the support of which is studied with use of a recurrence relation. The shape of the support is shown to vary from a connected set to a Cantor set depending on the type of randomness. Monte Carlo calculations and analytical approximations are presented.