We study the one-dimensional Ising model in a magnetic field with each nearest neighbor Jᵢ assigned at random. For Jᵢ=±J₀ with equal probability, Nernst's law is violated, just as Kirkpatrick has found: however, when some uncertainty is introduced into the value of J₀ the entropy vanishes linearly with the temperature, much as in the mathematical two-level model for glasses of Anderson et al.
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Puma et al. (1978) studied this question.
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