2018
DOI: 10.1080/00268976.2018.1463471
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Depletion-driven four-phase coexistences in discotic systems

Abstract: Free volume theory (FVT) is a versatile and tractable framework to predict the phase behaviour of mixtures of platelets and non-adsorbing polymer chains in a common solvent. Within FVT, three principal reference phases for the hard platelets are considered: isotropic (I), nematic (N) and columnar (C). We derive analytical expressions that enable us to systematically trace the different types of phase coexistences revealed upon adding depletants and confirm the predictive power of FVT by testing the calculated … Show more

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Cited by 22 publications
(30 citation statements)
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“…The intermediate polymer size of q ¼ 0.525 (middle panel) marks the exact size ratio where all three binodals coincide at the same polymer reservoir concentration. This leads to an I-N-SmA-AAA four-phase coexistence that is reminiscent of the predictions for the disk-polymer systems [39].…”
supporting
confidence: 60%
“…The intermediate polymer size of q ¼ 0.525 (middle panel) marks the exact size ratio where all three binodals coincide at the same polymer reservoir concentration. This leads to an I-N-SmA-AAA four-phase coexistence that is reminiscent of the predictions for the disk-polymer systems [39].…”
supporting
confidence: 60%
“…For the columnar liquid crystal phase of colloidal platelets an analytical scaling expression for the free energy was obtained from an extended cell theory [21,22] and the predicted phase behavior was found to agree well with computer simulation results. This expression also enabled the use of free volume theory to determine the phase behavior of mixtures of suspensions containing plates and nonadsorbing polymers [23]. Inspired by this approach, we aim to seek analytical free energy expressions for the smectic-A and crystal phases of rods from an extended cell theory and map out the complete phase diagram of rod suspensions.…”
Section: Introductionmentioning
confidence: 99%
“…The depletant volume fraction is f d = (N d v d )/V, where N d is the number of depletants with volume v d in S. We consider depletants as penetrable hard spheres (PHSs): 30 they do not interact with each other but are hard for the discotics. Theoretically, we account for platelets as hard cylinders; 31 in simulations we consider oblate hard spherocylinders (OHSCs). 29,32 We apply free volume theory (FVT, 33 see ESI †) to discotic-depletant mixtures.…”
mentioning
confidence: 99%