One-dimensional Ising model in a variety of random fields

David Andelman*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We study one-dimensional Ising models in the presence of various random-field (RF) distributions. The distribution which determines the average free energy and other thermodynamic properties is found to be a devils staircase for discrete RF distributions and continuous for nondiscrete RF distributions. Thus, any experiment that can be done on these systems will not show this devils-staircase behavior, due to the natural broadening of RF distributions in real physical systems. Experiments will show some reminiscence of the largest steps and this is associated with the broadening of the peaks of the RF distributions.

Original languageEnglish
Pages (from-to)6214-6218
Number of pages5
JournalPhysical Review B-Condensed Matter
Issue number9
StatePublished - 1986
Externally publishedYes


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