Algebraic equations of state for the liquid crystalline phase behavior of hard rods

Autor:	Peters, V. F. D., Vis, M., Wensink, H. H., Tuinier, R.
Rok vydání:	2020
Předmět:	Condensed Matter - Soft Condensed Matter Physics - Chemical Physics
Zdroj:	Phys. Rev. E 101, 062707 (2020)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevE.101.062707
Popis:	Based on simplifications of previous numerical calculations [Graf and L\"{o}wen, 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. Comment: 12 pages,accepted for publication in Phys. Rev. E
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2006.01555 Zobrazit plný text záznamu View this record from Arxiv