Phase Separation of Binary Systems

Details Phase Separation of Binary Systems Phase Separation of Binary Systems

2008-06-07

arxiv.org/abs/0806.1289v1

Physica A: Statistical Mechanics and its Applications, 388:23 (2009), Pages 4811-4817

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1016/j.physa.2009.07.044

In this Letter, 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 parameter Kd (or a nondimensional parameter K) such that if Kd>0, the transition is first-order with latent heat and if Kd <0, the transition is second-order. Second, a theoretical transition diagram is derived, leading in particular to a prediction that there is only second-order transition for molar fraction near 1/2. This is different from the prediction made by the classical transition diagram. Third, a critical length scale is derived such that no phase separation occurs at any temperature if the length of the container is smaller than the critical length scale.

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