Abstract
The random Ising chain is a very simple model with a large number of metastable states. Simple analytical calculation of the relaxation of energy and magnetization is presented. The effect of a nonzero magnetic field is discussed qualitatively. The slow relaxation in this simple model resembles that observed in spin glasses. A weak magnetic field can produce rather strong effects. The magnetization is shown to be a nonanalytic function of the field. The field also greatly alters the metastability characteristics.
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Chen, HH., Ma, Sk. Low-temperature behavior of a one-dimensional random Ising model. J Stat Phys 29, 717–746 (1982). https://doi.org/10.1007/BF01011787
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DOI: https://doi.org/10.1007/BF01011787