New consequences of the static scaling hypothesis at low temperatures

Abstract

The general interpolation formulas, which generalize the classical consequences of the static scaling hypothesis for phase transitions with variation in the temperature and field, have been proposed. The classical results have been derived from these formulas as a limiting partial case for the asymptotic proximity to a positive critical temperature. It has also been shown that some consequences of the scaling hypothesis also remain correct at a zero critical temperature; however, for example, the Essam–Fisher equality changes its form in the latter case, namely, the numeral two on the right-hand side is replaced by unity.