Algebraic equations of state for the liquid crystalline phase behavior of hard rods
arXiv:2006.01555 · doi:10.1103/PhysRevE.101.062707
Abstract
Based on simplifications of previous numerical calculations [Graf and Löwen, Phys. Rev. E \textbf{59}, 1932 (1999)], we propose algebraic free energy expressions for the smectic-A liquid crystal phase and the crystal phases of hard spherocylinders. Quantitative agreement with simulations is found for the resulting equations of state. The free energy expressions can be used to straightforwardly compute the full phase behavior for all aspect ratios and to provide a suitable benchmark for exploring how attractive interrod interactions mediate the phase stability through perturbation approaches such as free-volume or van der Waals theory.
arXiv comment12 pages,accepted for publication in Phys. Rev. E
References in corpus (8)
- Two-step melting in two dimensions: First-order liquid-hexatic transition
- Hard-body models of bulk liquid crystals
- Phase diagram of hard colloidal platelets: a theoretical account
- Simulation-based equation of state of the hard disk fluid and prediction of higher-order virial coefficients
- Columnar versus smectic order in systems of charged colloidal rods
- On the equation of state of a dense columnar liquid crystal
- Self-organisation of semi-flexible rod-like particles
- Depletion-driven four-phase coexistences in discotic systems
Cited by in corpus (4)
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- Effect of sample height and particle elongation in the sedimentation of colloidal rods