2008
DOI: 10.1103/physreve.78.041201
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Structure and stability of isotropic states of hard platelet fluids

Abstract: We study the thermodynamics and the pair structure of hard, infinitely thin, circular platelets in the isotropic phase. Monte Carlo simulation results indicate a rich spatial structure of the spherical expansion components of the direct correlation function, including nonmonotonical variation of some of the components with density. Integral equation theory is shown to reproduce the main features observed in simulations. The hypernetted chain closure, as well as its extended versions that include the bridge fun… Show more

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Cited by 22 publications
(15 citation statements)
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“…[48][49][50][51][52][53][54][55][56][57][58] In fact, discotic mesogens are rather complex organic molecules and many of them are required to properly simulate the phase and aggregation behavior as well as the dynamics in the Col mesophase. Atomistic models provide a worthwhile tool to access the details of liquid crystals at the molecular level, but they are too computationally demanding to handle more than some tens of mesogens during an appropriate time interval.…”
Section: -47mentioning
confidence: 99%
“…[48][49][50][51][52][53][54][55][56][57][58] In fact, discotic mesogens are rather complex organic molecules and many of them are required to properly simulate the phase and aggregation behavior as well as the dynamics in the Col mesophase. Atomistic models provide a worthwhile tool to access the details of liquid crystals at the molecular level, but they are too computationally demanding to handle more than some tens of mesogens during an appropriate time interval.…”
Section: -47mentioning
confidence: 99%
“…6 for a recent overview). These approaches usually involve integral equation or geometric density functional methods whose applicability is often restricted to isotropic fluids [7,8], models with parallel or restricted orientations [9] or particles with vanishing thickness [10,11]. A recent generalisation of the fundamental measure approach towards arbitrarily shaped hard convex bodies provides a potentially promising avenue to address more realistic models for liquid crystal ordering [12].…”
Section: Introductionmentioning
confidence: 99%
“…Esztermann et al [20] apply DFT and fundamental measure theory (FMT) to study the I-N transition of infinitely thin disks and determine the coexistence properties at the transition, in particular the densities and the value of the nematic order parameter in the nematic phase, in good agreement with simulation results from Frenkel and Eppenga [15]. In a more recent work, using simulation, FMT DFT and IET, Cheung et al [21,22] study the isotropic phase of a variety of hard-particle liquids, with emphasis on hard platelets. Although these methods are successful in describing the equation of state at lower densities, they are found to be less successful for platelet based systems at higher densities.…”
Section: Introductionmentioning
confidence: 74%