Journal Article10.1103/PHYSREVA.43.6837
Phase diagram for a system of hard spherocylinders.
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TL;DR: In this article, the authors apply a density functional formalism to a system of hard spherocylinders and obtain a phase diagram including the isotropic, nematic, and smectic-A phases.
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Abstract: We apply a density-functional formalism to a system of hard spherocylinders and obtain a phase diagram including the isotropic, nematic, and smectic-A phases. The nematic--smectic-A transition can be of either first or second order, and the tricritical point is located at a length-to-diameter ratio L/D=5.9. The coexistence of all three phases (i.e., the triple point) occurs at L/D=3.2 and for L/D3.2 we find a first-order isotropic--smectic-A transition.
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Citations
Tracing the phase boundaries of hard spherocylinders
Peter G. Bolhuis,Daan Frenkel +1 more
TL;DR: In this paper, the authors have mapped out the complete phase diagram of hard spherocylinders as a function of the shape anisotropy L/D. The phase boundaries of five different phases were established: the isotropic fluid, the liquid crystalline smectic A and nematic phases, the orientationally ordered solids, and the plastic or rotator solid.
High-Speed in Situ X-ray Scattering of Carbon Nanotube Film Nucleation and Self-Organization
Eric R. Meshot,Eric Verploegen,Mostafa Bedewy,Sameh Tawfick,Arthur R. Woll,Katherine S. Green,Marianne S. Hromalik,Lucas J. Koerner,Hugh T. Philipp,Mark W. Tate,Sol M. Gruner,A. John Hart +11 more
TL;DR: This work demonstrates the first use of grazing incidence small-angle X-ray scattering to monitor in real time the synthesis of CNT films by chemical vapor deposition, and suggests that the rate of self-organization is driven by both the CNT growth rate and density.
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Nematic to smectic-A transition in the asymptotic limit of very long hard spherocylinders
TL;DR: The virial expansion of the free energy is used to study the nematic to smectic-A transition by means of a bifurcation analysis and the third-order term of the expansion is taken into account.
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Modeling smectic layers in confined geometries: order parameter and defects.
TL;DR: An approach based on the real smectic density variation rather than a complex order parameter is suggested, which gives reasonable numerical results for the smECTic layer configuration and director field in sample geometries and can be used to modelSmA liquid crystals under nanoscale confinement for technological applications.
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Micellar hexagonal phases in lyotropic liquid crystals.
TL;DR: The interpretation of x-ray data based on finite micelles leads to an alternative description of the hexagonal phase H α : spherocylindrical micells of constant radius with length that may grow along the range of the H α phase.
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References
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Structure of hard-core liquid crystals
TL;DR: In this paper, the structure and dynamics of a system of hard spherocylinders with length-to-width ratio LID = 5 were discussed. But the results of these simulations were limited to the case of nonspherical hard core particles.
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Alan R. Denton,N. W. Ashcroft +1 more
TL;DR: It is concluded that in its new formulation the WDA is now just as simple to implement as the widely used Ramakrishnan-Yussouff' theory.
Evidence for one-, two-, and three-dimensional order in a system of hard parallel spherocylinders.
TL;DR: The phase diagram of a system of hard parallel spherocylinders with length-to-width ratios L/D between 0 and ∞ is investigated by Monte Carlo simulation, finding a stable smectic phase formed at densities well below the thermodynamic melting point.