Analyses of ideal models, where heat flow is restricted to one direction, result in good qualitative agreement with the current-voltage characteristics observed in materials that exhibit an abrupt change in electrical conductivity at a critical temperature, such as VO2. Stability criteria are proved for thermally induced ``S and N-shaped'' characteristics in two different geometries, where the internal current or field distributions are nonuniform.
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Jackson et al. (1974) studied this question.
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