Nematic and gas-liquid transitions for sticky rods on square and cubic lattices

Using grand-canonical Monte Carlo simulations, we investigate the phase diagram of hard rods of length \(L\) with additional contact (sticky) attractions on square and cubic lattices. The phase diagram shows a competition between gas-liquid and ordering transitions (which are of demixing type on the...

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Bibliographic Details
Published in:arXiv.org 2019-07
Main Authors: Quiring, P, Klopotek, M, Oettel, M
Format: Article
Language:English
Subjects:
Computer simulation
Cubic lattice
Demixing
Phase diagrams
Rods
Online Access:Get full text
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Summary:Using grand-canonical Monte Carlo simulations, we investigate the phase diagram of hard rods of length \(L\) with additional contact (sticky) attractions on square and cubic lattices. The phase diagram shows a competition between gas-liquid and ordering transitions (which are of demixing type on the square lattice for \(L \ge 7\) and of nematic type on the cubic lattice for \(L \ge 5\)). On the square lattice, increasing attractions initially lead to a stabilization of the isotropic phase. On the cubic lattice, the nematic transition remains of weak first order upon increasing the attractions. In the vicinity of the gas-liquid transition, the coexistence gap of the nematic transition quickly widens. These features are different from nematic transitions in the continuum.
ISSN:2331-8422
DOI:10.48550/arxiv.1905.05501