Abstract
We discuss a version of the Landau–Devonshire model for films undergoing a first-order phase transition. The spatial variation P( z) of the order parameter is described by an Euler–Lagrange equation with associated boundary condition. We define a general numerical scheme for finding P( z) and evaluating the resulting thermodynamic functions. Results are presented for the thickness, temperature and boundary-condition dependence of P( z), the free energy and entropy and the superheating, supercooling and thermodynamic critical temperatures.
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