Phase separation of binary systems

Tian Ma and Shouhong Wang

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 23, 4811-4817

Abstract: In this paper, three physical predictions on the phase separation of binary systems are derived based on a dynamic transition theory developed recently by the authors. First, the order of phase transitions is precisely determined by the sign of a nondimensional parameter K such that if K>0, the transition is first order with latent heat and if K<0, the transition is second order. Here the parameter K is defined in terms of the coefficients in the quadratic and cubic nonlinear terms of the Cahn–Hilliard equation and the typical length scale of the container. Second, a phase diagram is derived, characterizing the order of phase transitions, and leading in particular to a prediction that there is only a second-order transition for molar fraction near 1/2. This is different from the prediction made by the classical phase diagram. Third, a TL-phase diagram is derived, characterizing the regions of both homogeneous and separation phases and their transitions.

Keywords: Binary system; Cahn–Hilliard equation; Phase diagram; Order of separation; Critical length scale; Dynamic transition theory (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:23:p:4811-4817

DOI: 10.1016/j.physa.2009.07.044

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