Anomalous phase behavior of quasi-one-dimensional attractive hard rods

Gurin, Péter and Varga, Szabolcs (2022) Anomalous phase behavior of quasi-one-dimensional attractive hard rods. PHYSICAL REVIEW E: COVERING STATISTICAL NONLINEAR BIOLOGICAL AND SOFT MATTER PHYSICS (2016-). ISSN 2470-0045

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Abstract

We study a two-state model of attractive hard rods using the transfer matrix method, where the centres of the particles are confined to a straight line, but the orientations of the rods can be parallel or perpendicular to the confining line. The rods are modelled as hard rectangles with length L and width D and decorated with attractive sites at both ends of the rectangles. We find that the particles align parallel to the line and form long chains at low densities, while they turn out of the line and forms a Tonks gas at high densities. With increasing the stickiness between the rods, the structural change between parallel and perpendicular states becomes stronger and the pressure vs. density curve becomes almost a horizontal line at the transition pressure. We show that such a behaviour is reminiscent of the first-order phase transition. This manifests in the validity of lever-rule of the phase transitions for very sticky cases.

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