Two-dimensional critical points and critical isotherms

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Abstract
The arguments of Dash and Puff concerning adsorbed films of inhomogeneous substrates are extended to the specific problem of identifying a critical isotherm. Traditionally, a two-phase coexistence region is identified as a strictly vertical step in an isotherm curve, and the size of this step decreases with increasing temperature. At a critical point the step disappears and the isotherm shows a vertical inflection point. For inhomogeneous substrates, strict verticality in isotherms is never observed, even in regions of two-phase coexistence. Nevertheless, it is shown that a critical temperature can be identified by the lack of discontinuities in the slope of the isotherm curve.

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