Phase diagrams of Zwanzig models: The effect of polydispersity
arXiv:cond-mat/0302446 · doi:10.1063/1.1571055
Abstract
The first goal of this article is to study the validity of the Zwanzig model for liquid crystals to predict transitions to inhomogeneous phases (like smectic and columnar) and the way polydispersity affects these transitions. The second goal is to analyze the extension of the Zwanzig model to a binary mixture of rods and plates. The mixture is symmetric in that all particles have equal volume and length-to-breadth ratio, . The phase diagram containing the homogeneous phases as well as the spinodals of the transitions to inhomogeneous phases is determined for the cases and 15 in order to compare with previous results obtained in the Onsager approximation. We then study the effect of polydispersity on these phase diagrams, emphasizing the enhancement of the stability of the biaxial nematic phase it induces.
11 pages, 12 figures
References in corpus (2)
Cited by in corpus (24)
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- Effect of polydispersity and soft interactions on the nematic vs. smectic phase stability in platelet suspensions
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- The effect of combined roundness and polydispersity on the phase behavior of hard-rectangle fluids
- Biaxial nematic phase stability and demixing behaviour in monolayers of rod-plate mixtures
- Entropy-Driven Phase Transitions in Colloidal Systems